
Time bar (total: 16.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 6 |
| 15.6% | 15.6% | 84.3% | 0.1% | 0% | 0% | 0% | 7 |
| 16.7% | 15.6% | 78% | 0.1% | 0% | 6.2% | 0% | 8 |
| 25% | 23.4% | 70.2% | 0.1% | 0% | 6.2% | 0% | 9 |
| 29.7% | 26.9% | 63.6% | 0.1% | 0% | 9.4% | 0% | 10 |
| 30.8% | 26.9% | 60.5% | 0.1% | 0% | 12.5% | 0% | 11 |
| 35.9% | 31.4% | 56% | 0.1% | 0% | 12.5% | 0% | 12 |
Compiled 29 to 22 computations (24.1% saved)
| 2.0s | 8 256× | 0 | valid |
| 118.0ms | 307× | 0 | invalid |
ival-div: 323.0ms (18.2% of total)ival-tan: 310.0ms (17.4% of total)ival-mult: 298.0ms (16.8% of total)ival-sin: 245.0ms (13.8% of total)ival-pow: 223.0ms (12.5% of total)ival-add: 201.0ms (11.3% of total)ival-neg: 154.0ms (8.7% of total)exact: 12.0ms (0.7% of total)ival-true: 8.0ms (0.4% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 84 | 0 | - | 0 | - | (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
| 33 | 0 | - | 0 | - | (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 F F) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 0 | 0 | - | 0 | - | (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
| 0 | 0 | - | 0 | - | (*.f64 F F) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) x) |
| 0 | 0 | - | 0 | - | (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | F |
| 0 | 0 | - | 0 | - | (tan.f64 B) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) |
| 0 | 0 | - | 0 | - | (/.f64 F (sin.f64 B)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (tan.f64 B)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | B |
| 0 | 0 | - | 0 | - | (sin.f64 B) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
pow.f64 | (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) | oflow-rescue | 84 | 0 |
| ↳ | (*.f64 F F) | overflow | 84 | |
| ↳ | (+.f64 (*.f64 F F) #s(literal 2 binary64)) | overflow | 84 | |
| ↳ | (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) | overflow | 84 | |
*.f64 | (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) | n*o | 33 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 68 | 0 |
| - | 26 | 162 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 68 | 0 | 0 |
| - | 26 | 0 | 162 |
| number | freq |
|---|---|
| 0 | 162 |
| 1 | 71 |
| 2 | 23 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 470.0ms | 512× | 0 | valid |
Compiled 265 to 64 computations (75.8% saved)
ival-mult: 365.0ms (82% of total)ival-pow: 32.0ms (7.2% of total)ival-sin: 12.0ms (2.7% of total)ival-tan: 12.0ms (2.7% of total)ival-div: 11.0ms (2.5% of total)ival-add: 7.0ms (1.6% of total)ival-neg: 5.0ms (1.1% of total)ival-true: 1.0ms (0.2% of total)exact: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 229 |
| 1 | 239 | 192 |
| 2 | 647 | 191 |
| 3 | 1472 | 191 |
| 4 | 3003 | 191 |
| 5 | 4504 | 191 |
| 6 | 6910 | 191 |
| 0 | 20 | 24 |
| 0 | 37 | 24 |
| 1 | 71 | 21 |
| 2 | 154 | 21 |
| 3 | 343 | 21 |
| 4 | 610 | 21 |
| 5 | 840 | 21 |
| 6 | 1361 | 21 |
| 7 | 2575 | 21 |
| 8 | 5213 | 21 |
| 9 | 7452 | 21 |
| 0 | 8471 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| Outputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(negabs B)
Compiled 27 to 20 computations (25.9% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.3% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
Compiled 27 to 20 computations (25.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 2 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 103 |
| 0 | 37 | 103 |
| 1 | 71 | 96 |
| 2 | 154 | 96 |
| 3 | 343 | 96 |
| 4 | 610 | 96 |
| 5 | 840 | 96 |
| 6 | 1361 | 96 |
| 7 | 2575 | 96 |
| 8 | 5213 | 96 |
| 9 | 7452 | 96 |
| 0 | 8471 | 87 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) |
(/.f64 F (sin.f64 B)) |
F |
(sin.f64 B) |
(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 (*.f64 F F) #s(literal 2 binary64)) |
(*.f64 F F) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) x) |
(neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| Outputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 x (tan.f64 B)) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) |
(/.f64 F (sin.f64 B)) |
F |
(sin.f64 B) |
(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
(+.f64 (*.f64 F F) #s(literal 2 binary64)) |
(fma.f64 F F #s(literal 2 binary64)) |
(*.f64 F F) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) x) |
(neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.171875 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) | |
| accuracy | 0.25390625 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| accuracy | 8.0002328624158 | (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) | |
| accuracy | 19.54757120432968 | (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
| 95.0ms | 256× | 0 | valid |
Compiled 119 to 22 computations (81.5% saved)
ival-mult: 54.0ms (65.1% of total)ival-sin: 6.0ms (7.2% of total)ival-tan: 6.0ms (7.2% of total)ival-pow: 6.0ms (7.2% of total)ival-div: 5.0ms (6% of total)ival-add: 4.0ms (4.8% of total)ival-neg: 2.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
| Outputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(+ 2 (* 2 x)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(pow F 2) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(/ x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(/ 1 B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(/ (* x (cos B)) (sin B)) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (cos B) (sin B)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ 2 (pow F 2)) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* 2 x) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 51.0ms | x | @ | -inf | ((* x (/ 1 (tan B))) (/ 1 2) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (+ (* F F) 2) (* 2 x)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (tan B))) |
| 8.0ms | x | @ | inf | ((* x (/ 1 (tan B))) (/ 1 2) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (+ (* F F) 2) (* 2 x)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (tan B))) |
| 4.0ms | B | @ | inf | ((* x (/ 1 (tan B))) (/ 1 2) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (+ (* F F) 2) (* 2 x)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (tan B))) |
| 3.0ms | x | @ | 0 | ((* x (/ 1 (tan B))) (/ 1 2) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (+ (* F F) 2) (* 2 x)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (tan B))) |
| 3.0ms | B | @ | -inf | ((* x (/ 1 (tan B))) (/ 1 2) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (+ (* F F) 2) (* 2 x)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (tan B))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 496 | 3495 |
| 1 | 1683 | 3280 |
| 2 | 7664 | 3173 |
| 0 | 8158 | 2879 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(+ 2 (* 2 x)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(pow F 2) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(/ x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(/ 1 B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(/ (* x (cos B)) (sin B)) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (cos B) (sin B)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ 2 (pow F 2)) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* 2 x) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
| Outputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B)) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 F F) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (sin.f64 B)) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(fma.f64 (*.f64 (*.f64 F F) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal 3/8 binary64))) (*.f64 F F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 F F) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) F) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(fma.f64 (pow.f64 F #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(fma.f64 (pow.f64 F #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal 3/8 binary64))) (sin.f64 B)) (*.f64 F F) (*.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 F #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) F)) (sin.f64 B)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 F #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -3/4 binary64)) #s(literal 1/2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 F #s(literal 6 binary64)))) (sin.f64 B)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (sin.f64 B))) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(pow F 2) |
(*.f64 F F) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 F F)) |
(/ 1 F) |
(/.f64 #s(literal 1 binary64) F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 F #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) F)) #s(literal -1/2 binary64) #s(literal 1 binary64)) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(/.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 F #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -3/4 binary64)) #s(literal 1/2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 F #s(literal 6 binary64)))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64))) F) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (sin.f64 B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 F #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) F)) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
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(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 F x)) #s(literal 3/2 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)))) F))) (sin.f64 B)) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64)))) F) #s(literal 3/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 F x)) #s(literal -5/2 binary64))) (sin.f64 B)) x (*.f64 (/.f64 (neg.f64 F) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)))))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 F (sin.f64 B)))) (/.f64 (cos.f64 B) (sin.f64 B))) x) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 F (sin.f64 B))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 F (sin.f64 B)))) (/.f64 (cos.f64 B) (sin.f64 B)))) x) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(*.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) F) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 B)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) F)) #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) F)) #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 B)))) (/.f64 (cos.f64 B) (sin.f64 B))) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 F (sin.f64 B)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 F (sin.f64 B))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 F (sin.f64 B))))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) F) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 B)) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 B)))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 F (sin.f64 B))) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) F) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 B)) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 B))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(*.f64 (neg.f64 x) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) #s(literal -1 binary64) (cos.f64 B)) (sin.f64 B))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 F (sin.f64 B))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 F (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) #s(literal -1 binary64) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) F) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sin.f64 B)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) x) #s(literal -1 binary64) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1/16 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 F (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 F (sin.f64 B))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 F (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) F) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sin.f64 B)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) F) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sin.f64 B)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1/16 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 71 |
| 0 | 37 | 71 |
| 1 | 132 | 66 |
| 2 | 874 | 66 |
| 0 | 8190 | 58 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
| Outputs |
|---|
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) x) |
(*.f64 x (pow.f64 (tan.f64 B) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (neg.f64 (neg.f64 (tan.f64 B)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (neg.f64 (neg.f64 (tan.f64 B)))) |
(/.f64 (*.f64 #s(literal -1 binary64) x) (neg.f64 (tan.f64 B))) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 (tan.f64 B))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (tan.f64 B)))) |
(/.f64 (neg.f64 x) (neg.f64 (tan.f64 B))) |
(/.f64 x (tan.f64 B)) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)))))) (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))))) (+.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 (neg.f64 x)) (pow.f64 (tan.f64 B) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 x)) (pow.f64 (tan.f64 B) #s(literal -1 binary64))))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B))))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 F (sin.f64 B))) (*.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 F (sin.f64 B))))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))) (*.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 3 binary64))) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) (pow.f64 (tan.f64 B) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (neg.f64 x)) (pow.f64 (tan.f64 B) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 x)) (pow.f64 (tan.f64 B) #s(literal -1 binary64))) (*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (*.f64 (neg.f64 (neg.f64 x)) (pow.f64 (tan.f64 B) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 3 binary64))) (pow.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B))) (*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 3 binary64))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (/.f64 x (tan.f64 B)))))) |
(/.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (pow.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 F (sin.f64 B))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 F (sin.f64 B))) (*.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 F (sin.f64 B))) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 F (sin.f64 B))))))) |
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(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))))))) |
(fabs.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1/4 binary64) (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (sin.f64 B)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) |
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 F (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 F))) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F))) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 F)) (neg.f64 (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) (sin.f64 B)) |
(*.f64 (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (cos.f64 B)) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (tan.f64 B))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (tan.f64 B) (tan.f64 B)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (tan.f64 B))) #s(literal -1 binary64)) |
(pow.f64 (tan.f64 B) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (tan.f64 B)) (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 B) (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64)))) |
(/.f64 (+.f64 (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (tan.f64 B))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (tan.f64 B))))) |
(/.f64 (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 B)) (PI.f64))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 B)) (PI.f64)))) |
(/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) B)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) B)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (cos.f64 B)) (neg.f64 (neg.f64 (neg.f64 (sin.f64 B))))) |
(/.f64 (+.f64 (neg.f64 (tan.f64 B)) (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 B) (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (tan.f64 B))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 B))) |
(/.f64 (cos.f64 B) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (tan.f64 B)))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B))) |
(tan.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 B))))) |
(tan.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 B)) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) B)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(tan.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) B) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(tan.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 B)) (PI.f64))) |
(tan.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) B)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 B))) |
(exp.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (neg.f64 (tan.f64 B)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 B) (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 B) (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1 binary64)))) |
Compiled 19 220 to 1 979 computations (89.7% saved)
21 alts after pruning (21 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 383 | 21 | 404 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 384 | 21 | 405 |
| Status | Accuracy | Program |
|---|---|---|
| 74.4% | (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 74.4% | (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| ▶ | 81.8% | (fma.f64 F (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
| 67.9% | (/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) | |
| 74.3% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) | |
| 45.8% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) | |
| 45.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)))) | |
| ▶ | 74.3% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
| ▶ | 46.2% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
| ▶ | 52.2% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
| 53.2% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) | |
| 57.3% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) | |
| 81.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) | |
| 53.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) | |
| 53.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) | |
| 39.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -7/360 binary64) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 #s(literal 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B))) x) B)) | |
| 39.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) | |
| ▶ | 39.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
| 52.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) | |
| 31.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) | |
| 48.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
Compiled 1 588 to 1 094 computations (31.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) | |
| cost-diff | 0 | (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) | |
| cost-diff | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) | |
| cost-diff | 2 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) | |
| cost-diff | 0 | (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) | |
| cost-diff | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| cost-diff | 2 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| cost-diff | 0 | (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) | |
| cost-diff | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| cost-diff | 2 | (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B) | |
| cost-diff | 2 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) | |
| cost-diff | 0 | (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) | |
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) | |
| cost-diff | 0 | (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) | |
| cost-diff | 0 | (fma.f64 F (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 570 |
| 0 | 93 | 556 |
| 1 | 173 | 538 |
| 2 | 382 | 538 |
| 3 | 1042 | 535 |
| 4 | 2919 | 535 |
| 5 | 5627 | 535 |
| 0 | 8250 | 532 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 F (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
F |
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
#s(literal 2 binary64) |
x |
(fma.f64 F F #s(literal 2 binary64)) |
#s(literal -1/2 binary64) |
(sin.f64 B) |
B |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(neg.f64 x) |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
F |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
B |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
F |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) |
(*.f64 #s(literal 1/6 binary64) F) |
#s(literal 1/6 binary64) |
(*.f64 B B) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 F (sin.f64 B)) |
F |
(sin.f64 B) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 F F #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(fma.f64 F (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 x (tan.f64 B))) |
F |
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) |
(/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) |
#s(literal 2 binary64) |
x |
(fma.f64 F F #s(literal 2 binary64)) |
#s(literal -1/2 binary64) |
(sin.f64 B) |
B |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(neg.f64 x) |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) |
F |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
B |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) B) F (/.f64 F B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (/.f64 x (tan.f64 B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 x (tan.f64 B)) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B)) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) B) F (/.f64 F B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) B) F (/.f64 F B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) |
(*.f64 (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) |
F |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) |
(fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) |
(*.f64 #s(literal 1/6 binary64) F) |
#s(literal 1/6 binary64) |
(*.f64 B B) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 x (tan.f64 B)) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 x (tan.f64 B)) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F (sin.f64 B))) |
(/.f64 F (sin.f64 B)) |
F |
(sin.f64 B) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 F F #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3930924271316889 | (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) | |
| accuracy | 8.0002328624158 | (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) | |
| accuracy | 8.848341216857909 | #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) | |
| accuracy | 19.03399583426583 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) | |
| accuracy | 0.16015625 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| accuracy | 0.171875 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) | |
| accuracy | 0.25390625 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| accuracy | 44.43040294675625 | #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| accuracy | 7.247377627183574 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) | |
| accuracy | 12.061518189802321 | (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B) | |
| accuracy | 19.064866446517556 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) | |
| accuracy | 34.0742153825283 | #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B)) | |
| accuracy | 0.21875 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) | |
| accuracy | 0.3774674271316889 | (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) | |
| accuracy | 19.064866446517556 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) | |
| accuracy | 34.6029002260386 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) | |
| accuracy | 0.11328125 | (fma.f64 F (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| accuracy | 0.171875 | (/.f64 (neg.f64 x) (tan.f64 B)) | |
| accuracy | 0.336601269536884 | (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) | |
| accuracy | 19.54757120432968 | (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
| 169.0ms | 256× | 0 | valid |
Compiled 549 to 47 computations (91.4% saved)
ival-tan: 41.0ms (29.6% of total)ival-mult: 37.0ms (26.7% of total)ival-div: 16.0ms (11.6% of total)ival-pow: 11.0ms (7.9% of total)ival-add: 10.0ms (7.2% of total)ival-sin: 7.0ms (5.1% of total)const: 7.0ms (5.1% of total)ival-sqrt: 4.0ms (2.9% of total)ival-neg: 3.0ms (2.2% of total)ival-sub: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 F (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
| Outputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(+ 2 (* 2 x)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(* -1 (/ x B)) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* -1 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(/ 1 (+ 2 (* 2 x))) |
(+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 2))) (/ 1 (+ 2 (* 2 x)))) |
(+ (* (pow F 2) (- (/ (pow F 2) (pow (+ 2 (* 2 x)) 3)) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
(+ (* (pow F 2) (- (* (pow F 2) (+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 4))) (/ 1 (pow (+ 2 (* 2 x)) 3)))) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/8 (/ (pow F 2) (sqrt 1/2)))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* 1/2 (/ (* (pow F 2) (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* (pow F 2) (+ (* -1/2 (/ (* (pow F 2) (+ 1/16 (* -1/8 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
1/2 |
(+ 1/2 (* -1/4 (pow F 2))) |
(+ 1/2 (* (pow F 2) (- (* 1/8 (pow F 2)) 1/4))) |
(+ 1/2 (* (pow F 2) (- (* (pow F 2) (+ 1/8 (* -1/16 (pow F 2)))) 1/4))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))) |
(/ 1 (* F (sin B))) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F) |
(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(pow F 2) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(/ (- 1 x) B) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B))) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) (/ x B)) |
(- 1 x) |
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) x) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* 1/6 B) (/ 1 B))) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (+ (* 1/6 B) (/ 1 B)))) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (* B (pow F 6)))) (+ (* 1/6 B) (/ 1 B))))) |
(/ 1 (pow F 2)) |
(/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2)) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2)) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
(+ 1 (* 1/6 (pow B 2))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (* 1/6 (pow B 2)))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (* 1/6 (pow B 2))))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (* 1/6 (pow B 2)))))) |
(/ (- 1 (/ 1 (pow F 2))) F) |
(/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F) |
(/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F) |
(/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2)) |
(- (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B))))))) (/ 1 (sin B))) |
(/ -1 (* F (sin B))) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F)) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(* -1 (/ (+ 1 x) B)) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6))))))) |
(* -1 (+ 1 x)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x)) |
-1 |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) 1) |
(/ (- (* -1/6 (pow B 2)) 1) B) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (* -1/6 B)) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 4)))) (* -1/6 B))) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 4)))) (+ (* -1/2 (/ (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 6)))) (* -1/6 B)))) (/ 1 B)) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(- (* -1/6 (pow B 2)) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (* -1/6 (pow B 2))) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (pow F 4))) (* -1/6 (pow B 2)))) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (pow F 4))) (+ (* -1/2 (/ (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- (* -1/6 (pow B 2)) 1)) (pow F 6))) (* -1/6 (pow B 2))))) 1) |
(* -1 (/ (- 1 (/ 1 (pow F 2))) F)) |
(* -1 (/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F)) |
(* -1 (/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F)) |
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x))))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))))))) B) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 7/360 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 31/15120 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(/ x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B) |
(/ 1 B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(/ (* x (cos B)) (sin B)) |
(* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(/ (cos B) (sin B)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* -1 (* B (+ (* -1 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* -1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* -1 (/ (cos B) (sin B))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(+ 2 (pow F 2)) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) 1))) |
(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) |
(* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(/ 1 (+ 2 (pow F 2))) |
(+ (* -2 (/ x (pow (+ 2 (pow F 2)) 2))) (/ 1 (+ 2 (pow F 2)))) |
(+ (* x (- (* 4 (/ x (pow (+ 2 (pow F 2)) 3))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) |
(+ (* x (- (* x (+ (* -8 (/ x (pow (+ 2 (pow F 2)) 4))) (* 4 (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F)))) |
(+ (* -1 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* x (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ F (* 1/6 (* (pow B 2) F))))) (* 3/2 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* x (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ F (* 1/6 (* (pow B 2) F))))) (* x (+ (* -5/2 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))) (+ F (* 1/6 (* (pow B 2) F))))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (* (sin B) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B)))))) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(* 2 x) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(* x (- (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))))) |
(* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x)))))) |
(/ 1/2 x) |
(/ (+ 1/2 (* -1/4 (/ (+ 2 (pow F 2)) x))) x) |
(/ (- (+ 1/2 (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2)))) (* 1/4 (/ (+ 2 (pow F 2)) x))) x) |
(/ (- (+ 1/2 (* -1/16 (/ (pow (+ 2 (pow F 2)) 3) (pow x 3)))) (+ (* -1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2))) (* 1/4 (/ (+ 2 (pow F 2)) x)))) x) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt -1/2)))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B)))) |
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x))))) |
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
(* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 54.0ms | B | @ | inf | ((+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (+ (* 2 x) (+ (* F F) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (tan B)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (neg x) (tan B)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (sin B)) (sqrt (/ 1 (+ (* F F) 2))) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (+ (* F F) 2))) |
| 18.0ms | x | @ | -inf | ((+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (+ (* 2 x) (+ (* F F) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (tan B)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (neg x) (tan B)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (sin B)) (sqrt (/ 1 (+ (* F F) 2))) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (+ (* F F) 2))) |
| 11.0ms | x | @ | 0 | ((+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (+ (* 2 x) (+ (* F F) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (tan B)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (neg x) (tan B)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (sin B)) (sqrt (/ 1 (+ (* F F) 2))) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (+ (* F F) 2))) |
| 10.0ms | x | @ | inf | ((+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (+ (* 2 x) (+ (* F F) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (tan B)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (neg x) (tan B)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (sin B)) (sqrt (/ 1 (+ (* F F) 2))) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (+ (* F F) 2))) |
| 6.0ms | F | @ | 0 | ((+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (+ (* 2 x) (+ (* F F) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (tan B)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (neg x) (tan B)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (sin B)) (sqrt (/ 1 (+ (* F F) 2))) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (+ (* F F) 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1305 | 11934 |
| 1 | 4628 | 11800 |
| 0 | 8555 | 10743 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(+ 2 (* 2 x)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(* -1 (/ x B)) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* -1 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(/ 1 (+ 2 (* 2 x))) |
(+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 2))) (/ 1 (+ 2 (* 2 x)))) |
(+ (* (pow F 2) (- (/ (pow F 2) (pow (+ 2 (* 2 x)) 3)) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
(+ (* (pow F 2) (- (* (pow F 2) (+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 4))) (/ 1 (pow (+ 2 (* 2 x)) 3)))) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/8 (/ (pow F 2) (sqrt 1/2)))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* 1/2 (/ (* (pow F 2) (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* (pow F 2) (+ (* -1/2 (/ (* (pow F 2) (+ 1/16 (* -1/8 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
1/2 |
(+ 1/2 (* -1/4 (pow F 2))) |
(+ 1/2 (* (pow F 2) (- (* 1/8 (pow F 2)) 1/4))) |
(+ 1/2 (* (pow F 2) (- (* (pow F 2) (+ 1/8 (* -1/16 (pow F 2)))) 1/4))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))) |
(/ 1 (* F (sin B))) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F) |
(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(pow F 2) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(/ (- 1 x) B) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B))) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) (/ x B)) |
(- 1 x) |
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) x) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* 1/6 B) (/ 1 B))) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (+ (* 1/6 B) (/ 1 B)))) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (* B (pow F 6)))) (+ (* 1/6 B) (/ 1 B))))) |
(/ 1 (pow F 2)) |
(/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2)) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2)) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
(+ 1 (* 1/6 (pow B 2))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (* 1/6 (pow B 2)))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (* 1/6 (pow B 2))))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (* 1/6 (pow B 2)))))) |
(/ (- 1 (/ 1 (pow F 2))) F) |
(/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F) |
(/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F) |
(/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2)) |
(- (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B))))))) (/ 1 (sin B))) |
(/ -1 (* F (sin B))) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F)) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(* -1 (/ (+ 1 x) B)) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6))))))) |
(* -1 (+ 1 x)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x)) |
-1 |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) 1) |
(/ (- (* -1/6 (pow B 2)) 1) B) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (* -1/6 B)) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 4)))) (* -1/6 B))) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 4)))) (+ (* -1/2 (/ (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 6)))) (* -1/6 B)))) (/ 1 B)) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(- (* -1/6 (pow B 2)) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (* -1/6 (pow B 2))) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (pow F 4))) (* -1/6 (pow B 2)))) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (pow F 4))) (+ (* -1/2 (/ (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- (* -1/6 (pow B 2)) 1)) (pow F 6))) (* -1/6 (pow B 2))))) 1) |
(* -1 (/ (- 1 (/ 1 (pow F 2))) F)) |
(* -1 (/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F)) |
(* -1 (/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F)) |
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x))))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))))))) B) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 7/360 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 31/15120 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(/ x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B) |
(/ 1 B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(/ (* x (cos B)) (sin B)) |
(* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(/ (cos B) (sin B)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* -1 (* B (+ (* -1 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* -1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* -1 (/ (cos B) (sin B))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(+ 2 (pow F 2)) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) 1))) |
(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
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(* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(/ 1 (+ 2 (pow F 2))) |
(+ (* -2 (/ x (pow (+ 2 (pow F 2)) 2))) (/ 1 (+ 2 (pow F 2)))) |
(+ (* x (- (* 4 (/ x (pow (+ 2 (pow F 2)) 3))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) |
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(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F)))) |
(+ (* -1 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
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(+ (* x (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ F (* 1/6 (* (pow B 2) F))))) (* x (+ (* -5/2 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))) (+ F (* 1/6 (* (pow B 2) F))))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B)))) |
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(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
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(* 2 x) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(* x (- (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))) |
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(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))) |
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(* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x)))) |
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(+ (* -1/2 (* (/ (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x)))))) |
(/ 1/2 x) |
(/ (+ 1/2 (* -1/4 (/ (+ 2 (pow F 2)) x))) x) |
(/ (- (+ 1/2 (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2)))) (* 1/4 (/ (+ 2 (pow F 2)) x))) x) |
(/ (- (+ 1/2 (* -1/16 (/ (pow (+ 2 (pow F 2)) 3) (pow x 3)))) (+ (* -1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2))) (* 1/4 (/ (+ 2 (pow F 2)) x)))) x) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt -1/2)))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B)))) |
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x))))) |
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
(* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
| Outputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x))) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -5/16 binary64) (*.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))))) (*.f64 F F) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal 3/8 binary64))) (*.f64 F F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x))) (sin.f64 B)) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* -1 (/ x B)) |
(/.f64 (neg.f64 x) B) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (neg.f64 x)) B) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) B)) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) B)) |
(* -1 x) |
(neg.f64 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) |
(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal 3/8 binary64))) (*.f64 F F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) |
(* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 F F) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 F F) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64))))) #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 F F) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64))))) #s(literal -5/16 binary64) (*.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))))) (*.f64 F F) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F) |
(/ 1 (+ 2 (* 2 x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 2))) (/ 1 (+ 2 (* 2 x)))) |
(fma.f64 (/.f64 (*.f64 F F) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(+ (* (pow F 2) (- (/ (pow F 2) (pow (+ 2 (* 2 x)) 3)) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
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(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
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(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
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(* F (+ (* -1/2 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
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(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
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(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
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(sqrt 1/2) |
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1/2 |
#s(literal 1/2 binary64) |
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(/ 1 F) |
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(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) B)) (sqrt.f64 x)) #s(literal -1/16 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 1/8 binary64) (*.f64 #s(literal -1/4 binary64) (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) x) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 x)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 F (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/16 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(+.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1/2 binary64))))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 429 |
| 0 | 93 | 418 |
| 1 | 362 | 392 |
| 2 | 2667 | 392 |
| 0 | 9048 | 392 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 F (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B)))) (*.f64 (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B))) (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B))))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 B #s(literal 6 binary64)) (*.f64 #s(literal 1/216 binary64) (pow.f64 F #s(literal 3 binary64))) (pow.f64 F #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (fma.f64 F (-.f64 F (*.f64 (*.f64 (*.f64 B B) #s(literal 1/6 binary64)) F)) (*.f64 (pow.f64 B #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) F) #s(literal 2 binary64)))))) |
(fma.f64 (fabs.f64 (*.f64 F (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)))) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) F))) |
(fma.f64 (*.f64 F (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) F))) |
(fma.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) F) B)) B (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)) |
(fma.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 B B)) (*.f64 #s(literal 1/6 binary64) F) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)) |
(fma.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 B B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)) |
(fma.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) F) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) F) B) (*.f64 B (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)) |
(fma.f64 (*.f64 (*.f64 (*.f64 B B) #s(literal 1/6 binary64)) F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)) |
(fma.f64 (*.f64 B B) (*.f64 (*.f64 #s(literal 1/6 binary64) F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 (*.f64 B B) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 B B) F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)) |
(fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 B B) #s(literal 1/6 binary64)) F) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)) |
(fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) F))) |
(fma.f64 F (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) F))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) F)) (*.f64 (neg.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) F)) |
(-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) F)) (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) F)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)) |
(+.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) F))) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (sin.f64 B))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (sin.f64 B))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (sin.f64 B) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (*.f64 F F) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (pow.f64 F #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 F F) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (*.f64 F F) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 F #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (+.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 F F) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64))) |
(fabs.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (/.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (/.f64 F (sin.f64 B))) |
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 F (/.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B))) |
(/.f64 (*.f64 (neg.f64 F) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (neg.f64 F)) (neg.f64 (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F)) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F) (sin.f64 B)) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 F F) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 F #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 F F) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 F F #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64))))) |
(+.f64 (cosh.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64))))) (sinh.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))))) |
Compiled 59 384 to 4 774 computations (92% saved)
48 alts after pruning (48 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 044 | 40 | 1 084 |
| Fresh | 8 | 8 | 16 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 057 | 48 | 1 105 |
| Status | Accuracy | Program |
|---|---|---|
| 81.8% | (fma.f64 F (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 49.7% | (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| ▶ | 81.8% | (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
| ▶ | 52.3% | (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
| 64.7% | (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 67.9% | (/.f64 (fma.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) | |
| 52.2% | (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| 74.3% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))))) | |
| 45.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)))) | |
| 54.1% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) | |
| 38.0% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 46.1% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) B)))) | |
| 38.9% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) | |
| 31.1% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B))) | |
| ▶ | 33.1% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
| 53.2% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) | |
| 57.3% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) | |
| 39.0% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 39.1% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 39.2% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 27.7% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| 39.2% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 33.1% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| 53.2% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (-.f64 (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| 31.7% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) | |
| 48.9% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) | |
| 81.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) | |
| 53.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) | |
| 39.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (neg.f64 (*.f64 F #s(literal -7/360 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B)) x)) B)) | |
| 40.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) | |
| 53.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) | |
| 39.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) | |
| 39.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) | |
| 25.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) B) (*.f64 B x)) (*.f64 B B))) | |
| 27.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) | |
| 23.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) | |
| 12.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) | |
| 21.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) | |
| 20.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) | |
| ▶ | 12.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
| 23.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) | |
| 25.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) | |
| 52.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) | |
| 17.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) | |
| ▶ | 24.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
| 20.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) | |
| 18.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) | |
| 15.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
Compiled 4 486 to 2 952 computations (34.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sin.f64 B) F) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F)) | |
| cost-diff | 0 | #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) | |
| cost-diff | 0 | (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) | |
| cost-diff | 0 | (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) | |
| cost-diff | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) | |
| cost-diff | 2 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| cost-diff | 0 | #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) | |
| cost-diff | 0 | (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) | |
| cost-diff | 0 | (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 622 |
| 0 | 107 | 609 |
| 1 | 187 | 598 |
| 2 | 395 | 598 |
| 3 | 1008 | 598 |
| 4 | 2356 | 598 |
| 5 | 3795 | 598 |
| 6 | 4690 | 598 |
| 7 | 6089 | 598 |
| 0 | 8907 | 574 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
F |
(/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
#s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(fma.f64 F F #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sin.f64 B) |
B |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(neg.f64 x) |
x |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
(/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B) |
#s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) |
(neg.f64 x) |
x |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
(/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B) |
(-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) |
#s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
F |
B |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B)) |
(/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B) |
#s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 B B)) |
#s(literal -1/6 binary64) |
(*.f64 B B) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
F |
#s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F)) |
#s(literal -1 binary64) |
(*.f64 (sin.f64 B) F) |
(sin.f64 B) |
B |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(neg.f64 x) |
x |
(tan.f64 B) |
| Outputs |
|---|
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (neg.f64 x) (tan.f64 B))) |
F |
(/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
#s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(fma.f64 F F #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sin.f64 B) |
B |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(neg.f64 x) |
x |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
(/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B) |
#s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) |
(neg.f64 x) |
x |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) B)) |
(/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B) |
(/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) B) |
(-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) |
(-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
#s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) |
#s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
F |
B |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B)) (/.f64 x (tan.f64 B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 x (tan.f64 B)) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B)) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B)) |
(/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B) |
(/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B) |
#s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) |
#s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 B B)) |
(*.f64 (*.f64 B B) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 B B) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
F |
#s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F)) |
#s(literal -1 binary64) |
(*.f64 (sin.f64 B) F) |
(sin.f64 B) |
B |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(neg.f64 x) |
x |
(tan.f64 B) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.078125 | (*.f64 (sin.f64 B) F) | |
| accuracy | 0.09765625 | (/.f64 (neg.f64 x) (tan.f64 B)) | |
| accuracy | 0.10546875 | (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F)) | |
| accuracy | 26.28485663720633 | #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) | |
| accuracy | 0.16015625 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| accuracy | 6.198245772431402 | (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B) | |
| accuracy | 19.068853903991172 | #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B)) | |
| accuracy | 25.668055534083294 | #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) | |
| accuracy | 0.1328125 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) | |
| accuracy | 0.23828125 | (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) | |
| accuracy | 19.54351525569667 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) | |
| accuracy | 25.582481108312653 | #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0546875 | (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B) | |
| accuracy | 15.29638995981452 | #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) | |
| accuracy | 19.54351525569667 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) | |
| accuracy | 0.189785009768442 | (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) | |
| accuracy | 0.35368827540805475 | (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) | |
| accuracy | 8.399886929069858 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) | |
| accuracy | 8.741142801059372 | #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
| 148.0ms | 142× | 0 | valid |
| 115.0ms | 114× | 0 | invalid |
Compiled 443 to 58 computations (86.9% saved)
ival-div: 113.0ms (49.6% of total)ival-mult: 36.0ms (15.8% of total)ival-pow: 15.0ms (6.6% of total)ival-add: 13.0ms (5.7% of total)ival-tan: 13.0ms (5.7% of total)ival-sin: 9.0ms (3.9% of total)const: 9.0ms (3.9% of total)ival-sqrt: 9.0ms (3.9% of total)ival-neg: 4.0ms (1.8% of total)ival-sub: 3.0ms (1.3% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
#s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
(/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B) |
#s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
(/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B) |
(-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) |
#s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F)) |
(*.f64 (sin.f64 B) F) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) |
#s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B)) |
(/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
| Outputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/8 (/ (pow F 2) (sqrt 1/2)))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* 1/2 (/ (* (pow F 2) (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* (pow F 2) (+ (* -1/2 (/ (* (pow F 2) (+ 1/16 (* -1/8 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(* -1 (/ x B)) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* -1 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(/ -1 (* F (sin B))) |
(* F (sin B)) |
1/2 |
(+ 1/2 (* -1/4 (pow F 2))) |
(+ 1/2 (* (pow F 2) (- (* 1/8 (pow F 2)) 1/4))) |
(+ 1/2 (* (pow F 2) (- (* (pow F 2) (+ 1/8 (* -1/16 (pow F 2)))) 1/4))) |
(* F (sqrt 1/2)) |
(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
(* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))) |
(/ 1 (* F (sin B))) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F) |
(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(/ (- 1 (/ 1 (pow F 2))) F) |
(/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F) |
(/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(/ (- 1 x) B) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B))) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) (/ x B)) |
(- 1 x) |
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) x) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) |
(/ 1 (pow F 2)) |
(/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2)) |
(+ 1 (* 1/6 (pow B 2))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (* 1/6 (pow B 2)))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (* 1/6 (pow B 2))))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (* 1/6 (pow B 2)))))) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* 1/6 B) (/ 1 B))) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (+ (* 1/6 B) (/ 1 B)))) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (* B (pow F 6)))) (+ (* 1/6 B) (/ 1 B))))) |
(- (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B))))))) (/ 1 (sin B))) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F)) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(* -1 (/ (- 1 (/ 1 (pow F 2))) F)) |
(* -1 (/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F)) |
(* -1 (/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F)) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(* -1 (/ (+ 1 x) B)) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6))))))) |
(* -1 (+ 1 x)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x)) |
-1 |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) 1) |
(- (* -1/6 (pow B 2)) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (* -1/6 (pow B 2))) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (pow F 4))) (* -1/6 (pow B 2)))) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (pow F 4))) (+ (* -1/2 (/ (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- (* -1/6 (pow B 2)) 1)) (pow F 6))) (* -1/6 (pow B 2))))) 1) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(/ (- (* -1/6 (pow B 2)) 1) B) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (* -1/6 B)) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 4)))) (* -1/6 B))) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 4)))) (+ (* -1/2 (/ (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 6)))) (* -1/6 B)))) (/ 1 B)) |
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x))))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))))))) B) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 7/360 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 31/15120 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(/ x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B) |
(/ 1 B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(/ -1 (* B F)) |
(/ (- (* -1/6 (/ (pow B 2) F)) (/ 1 F)) B) |
(/ (- (* (pow B 2) (- (* -7/360 (/ (pow B 2) F)) (* 1/6 (/ 1 F)))) (/ 1 F)) B) |
(/ (- (* (pow B 2) (- (* (pow B 2) (- (* -31/15120 (/ (pow B 2) F)) (* 7/360 (/ 1 F)))) (* 1/6 (/ 1 F)))) (/ 1 F)) B) |
(* B F) |
(* B (+ F (* -1/6 (* (pow B 2) F)))) |
(* B (+ F (* (pow B 2) (+ (* -1/6 F) (* 1/120 (* (pow B 2) F)))))) |
(* B (+ F (* (pow B 2) (+ (* -1/6 F) (* (pow B 2) (+ (* -1/5040 (* (pow B 2) F)) (* 1/120 F))))))) |
(* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))) B) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(/ (* x (cos B)) (sin B)) |
(/ (cos B) (sin B)) |
(* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* -1 (* B (+ (* -1 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* -1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* -1 (/ (cos B) (sin B))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) 1))) |
(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) |
(* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F)))) |
(+ (* -1 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* x (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ F (* 1/6 (* (pow B 2) F))))) (* 3/2 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* x (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ F (* 1/6 (* (pow B 2) F))))) (* x (+ (* -5/2 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))) (+ F (* 1/6 (* (pow B 2) F))))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (* (sin B) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B)))))) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(* x (- (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))))) |
(* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x)))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt -1/2)))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B)))) |
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x))))) |
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
(* (* F (* (pow (sqrt -1) 2) (sqrt 1/2))) (sqrt (/ 1 x))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | inf | ((+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt (/ 1 (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/ -1 (* (sin B) F)) (* (sin B) F) (/ 1 (+ (* F F) 2)) (* (sqrt 1/2) F) (* (sqrt (/ 1 x)) (* (sqrt 1/2) F)) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (/ (neg x) (tan B))) |
| 11.0ms | B | @ | 0 | ((+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt (/ 1 (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/ -1 (* (sin B) F)) (* (sin B) F) (/ 1 (+ (* F F) 2)) (* (sqrt 1/2) F) (* (sqrt (/ 1 x)) (* (sqrt 1/2) F)) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (/ (neg x) (tan B))) |
| 7.0ms | x | @ | -inf | ((+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt (/ 1 (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/ -1 (* (sin B) F)) (* (sin B) F) (/ 1 (+ (* F F) 2)) (* (sqrt 1/2) F) (* (sqrt (/ 1 x)) (* (sqrt 1/2) F)) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (/ (neg x) (tan B))) |
| 5.0ms | x | @ | 0 | ((+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt (/ 1 (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/ -1 (* (sin B) F)) (* (sin B) F) (/ 1 (+ (* F F) 2)) (* (sqrt 1/2) F) (* (sqrt (/ 1 x)) (* (sqrt 1/2) F)) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (/ (neg x) (tan B))) |
| 4.0ms | B | @ | -inf | ((+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt (/ 1 (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/ -1 (* (sin B) F)) (* (sin B) F) (/ 1 (+ (* F F) 2)) (* (sqrt 1/2) F) (* (sqrt (/ 1 x)) (* (sqrt 1/2) F)) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (/ (neg x) (tan B))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1226 | 11529 |
| 1 | 4380 | 11393 |
| 0 | 8074 | 10391 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/8 (/ (pow F 2) (sqrt 1/2)))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* 1/2 (/ (* (pow F 2) (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* (pow F 2) (+ (* -1/2 (/ (* (pow F 2) (+ 1/16 (* -1/8 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(* -1 (/ x B)) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* -1 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(/ -1 (* F (sin B))) |
(* F (sin B)) |
1/2 |
(+ 1/2 (* -1/4 (pow F 2))) |
(+ 1/2 (* (pow F 2) (- (* 1/8 (pow F 2)) 1/4))) |
(+ 1/2 (* (pow F 2) (- (* (pow F 2) (+ 1/8 (* -1/16 (pow F 2)))) 1/4))) |
(* F (sqrt 1/2)) |
(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
(* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))) |
(/ 1 (* F (sin B))) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F) |
(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(/ (- 1 (/ 1 (pow F 2))) F) |
(/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F) |
(/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(/ (- 1 x) B) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B))) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) (/ x B)) |
(- 1 x) |
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) x) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) |
(/ 1 (pow F 2)) |
(/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2)) |
(+ 1 (* 1/6 (pow B 2))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (* 1/6 (pow B 2)))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (* 1/6 (pow B 2))))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (* 1/6 (pow B 2)))))) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* 1/6 B) (/ 1 B))) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (+ (* 1/6 B) (/ 1 B)))) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (* B (pow F 6)))) (+ (* 1/6 B) (/ 1 B))))) |
(- (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B))))))) (/ 1 (sin B))) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F)) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(* -1 (/ (- 1 (/ 1 (pow F 2))) F)) |
(* -1 (/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F)) |
(* -1 (/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F)) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(* -1 (/ (+ 1 x) B)) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6))))))) |
(* -1 (+ 1 x)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x)) |
-1 |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) 1) |
(- (* -1/6 (pow B 2)) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (* -1/6 (pow B 2))) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (pow F 4))) (* -1/6 (pow B 2)))) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (pow F 4))) (+ (* -1/2 (/ (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- (* -1/6 (pow B 2)) 1)) (pow F 6))) (* -1/6 (pow B 2))))) 1) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(/ (- (* -1/6 (pow B 2)) 1) B) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (* -1/6 B)) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 4)))) (* -1/6 B))) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 4)))) (+ (* -1/2 (/ (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 6)))) (* -1/6 B)))) (/ 1 B)) |
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x))))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))))))) B) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 7/360 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 31/15120 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(/ x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B) |
(/ 1 B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(/ -1 (* B F)) |
(/ (- (* -1/6 (/ (pow B 2) F)) (/ 1 F)) B) |
(/ (- (* (pow B 2) (- (* -7/360 (/ (pow B 2) F)) (* 1/6 (/ 1 F)))) (/ 1 F)) B) |
(/ (- (* (pow B 2) (- (* (pow B 2) (- (* -31/15120 (/ (pow B 2) F)) (* 7/360 (/ 1 F)))) (* 1/6 (/ 1 F)))) (/ 1 F)) B) |
(* B F) |
(* B (+ F (* -1/6 (* (pow B 2) F)))) |
(* B (+ F (* (pow B 2) (+ (* -1/6 F) (* 1/120 (* (pow B 2) F)))))) |
(* B (+ F (* (pow B 2) (+ (* -1/6 F) (* (pow B 2) (+ (* -1/5040 (* (pow B 2) F)) (* 1/120 F))))))) |
(* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))) B) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(/ (* x (cos B)) (sin B)) |
(/ (cos B) (sin B)) |
(* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* -1 (* B (+ (* -1 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* -1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* -1 (/ (cos B) (sin B))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) 1))) |
(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) |
(* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F)))) |
(+ (* -1 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* x (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ F (* 1/6 (* (pow B 2) F))))) (* 3/2 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* x (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ F (* 1/6 (* (pow B 2) F))))) (* x (+ (* -5/2 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))) (+ F (* 1/6 (* (pow B 2) F))))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (* (sin B) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B)))))) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(* x (- (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))))) |
(* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x)))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt -1/2)))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B)))) |
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x))))) |
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
(* (* F (* (pow (sqrt -1) 2) (sqrt 1/2))) (sqrt (/ 1 x))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
| Outputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x))) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) |
(+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 7 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -5/16 binary64) (*.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))))) (*.f64 F F) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal 3/8 binary64))) (*.f64 F F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/8 (/ (pow F 2) (sqrt 1/2)))) |
(fma.f64 (/.f64 (*.f64 F F) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* 1/2 (/ (* (pow F 2) (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/32 binary64) (*.f64 F F))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 F F) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* (pow F 2) (+ (* -1/2 (/ (* (pow F 2) (+ 1/16 (* -1/8 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 5/128 binary64) (*.f64 F F)) #s(literal 3/64 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 F F)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 F F) (sqrt.f64 #s(literal 1/2 binary64))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x))) (sin.f64 B)) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* -1 (/ x B)) |
(/.f64 (neg.f64 x) B) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F (neg.f64 x)) B) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) B)) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
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(* -1 x) |
(neg.f64 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) F) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
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(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) F) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
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(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
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(/ -1 (* F (sin B))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F)) |
(* F (sin B)) |
(*.f64 (sin.f64 B) F) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (pow F 2))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 F F) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow F 2) (- (* 1/8 (pow F 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 F F)) #s(literal 1/4 binary64)) (*.f64 F F) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow F 2) (- (* (pow F 2) (+ 1/8 (* -1/16 (pow F 2)))) 1/4))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 F F) #s(literal 1/8 binary64)) (*.f64 F F)) #s(literal 1/4 binary64)) (*.f64 F F) #s(literal 1/2 binary64)) |
(* F (sqrt 1/2)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) |
(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) |
(* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) |
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(* F (+ (* -1/2 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F) |
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64))))) #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F) |
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 7 binary64))))) #s(literal -5/16 binary64) (*.f64 (*.f64 #s(literal 3/8 binary64) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))))) (*.f64 F F) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 7 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -5/16 binary64) (*.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))))) (*.f64 F F) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F) |
(* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) |
(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 F F) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 F F) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64))))) #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 F F) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 7 binary64))))) #s(literal -5/16 binary64) (*.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))))) (*.f64 F F) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x) #s(literal 1 binary64)) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (sin.f64 B)) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x) #s(literal 1 binary64)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))) |
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (sin.f64 B)) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64)) (*.f64 (pow.f64 F #s(literal 4 binary64)) (sin.f64 B))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))) |
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (sin.f64 B)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 F #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64)) (sin.f64 B)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 F #s(literal 6 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64))) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))))) |
(/ 1 (* F (sin B))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F)) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F) |
(/.f64 (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F) |
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(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 x)) #s(literal -1/16 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* (* F (* (pow (sqrt -1) 2) (sqrt 1/2))) (sqrt (/ 1 x))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(+.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1/2 binary64))))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 F (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/16 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) B))) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 555 |
| 0 | 107 | 542 |
| 1 | 393 | 511 |
| 2 | 2818 | 511 |
| 0 | 8127 | 487 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
#s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
(/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B) |
#s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
(/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B) |
(-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) |
#s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F)) |
(*.f64 (sin.f64 B) F) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) |
#s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B)) |
(/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
| Outputs |
|---|
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 3 binary64)) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F)) (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F)) (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 2 binary64))) (neg.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))))) (*.f64 (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F)) (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 2 binary64))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F)) (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) F) (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) F) (tan.f64 B) (*.f64 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) F) (neg.f64 (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (neg.f64 (tan.f64 B))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) F) (tan.f64 B) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) F) (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) x)) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.f64 (*.f64 F (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.f64 (*.f64 F (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (tan.f64 B) (*.f64 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B))) |
(/.f64 (fma.f64 (*.f64 F (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (neg.f64 (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (neg.f64 (tan.f64 B))))) |
(/.f64 (fma.f64 (*.f64 F (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (tan.f64 B) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B))) |
(/.f64 (fma.f64 (*.f64 F (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) x)) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F)) (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F)) (tan.f64 B) (*.f64 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F)) (neg.f64 (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (neg.f64 (tan.f64 B))))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F)) (tan.f64 B) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F)) (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) x)) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.f64 (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F) (neg.f64 (tan.f64 B)) (*.f64 (sin.f64 B) (*.f64 (neg.f64 x) #s(literal -1 binary64)))) (*.f64 (sin.f64 B) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.f64 (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F) (tan.f64 B) (*.f64 (sin.f64 B) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 (sin.f64 B) (tan.f64 B))) |
(/.f64 (fma.f64 (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F) (neg.f64 (neg.f64 (tan.f64 B))) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (neg.f64 (neg.f64 (tan.f64 B))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) F))) (*.f64 (neg.f64 (tan.f64 B)) (neg.f64 (sin.f64 B)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 (tan.f64 B)) (*.f64 F (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))))))) (*.f64 (neg.f64 (tan.f64 B)) (neg.f64 (sin.f64 B)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 (tan.f64 B)) (neg.f64 (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F)))) (*.f64 (neg.f64 (tan.f64 B)) (neg.f64 (sin.f64 B)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (sin.f64 B) (*.f64 (neg.f64 (tan.f64 B)) (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F))) (*.f64 (neg.f64 (tan.f64 B)) (sin.f64 B))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 B)) (*.f64 (tan.f64 B) (*.f64 (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) F))) (*.f64 (tan.f64 B) (neg.f64 (sin.f64 B)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 B)) (*.f64 (tan.f64 B) (*.f64 F (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))))))) (*.f64 (tan.f64 B) (neg.f64 (sin.f64 B)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 B)) (*.f64 (tan.f64 B) (neg.f64 (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F)))) (*.f64 (tan.f64 B) (neg.f64 (sin.f64 B)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (sin.f64 B) (*.f64 (tan.f64 B) (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F))) (*.f64 (tan.f64 B) (sin.f64 B))) |
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) F))) (*.f64 (neg.f64 (neg.f64 (tan.f64 B))) (neg.f64 (sin.f64 B)))) |
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 (neg.f64 (tan.f64 B))) (*.f64 F (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))))))) (*.f64 (neg.f64 (neg.f64 (tan.f64 B))) (neg.f64 (sin.f64 B)))) |
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 (neg.f64 (tan.f64 B))) (neg.f64 (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F)))) (*.f64 (neg.f64 (neg.f64 (tan.f64 B))) (neg.f64 (sin.f64 B)))) |
(/.f64 (fma.f64 (neg.f64 x) (sin.f64 B) (*.f64 (neg.f64 (neg.f64 (tan.f64 B))) (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F))) (*.f64 (neg.f64 (neg.f64 (tan.f64 B))) (sin.f64 B))) |
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 (sin.f64 B)) (*.f64 (tan.f64 B) (*.f64 (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) F))) (*.f64 (tan.f64 B) (neg.f64 (sin.f64 B)))) |
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 (sin.f64 B)) (*.f64 (tan.f64 B) (*.f64 F (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))))))) (*.f64 (tan.f64 B) (neg.f64 (sin.f64 B)))) |
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 (sin.f64 B)) (*.f64 (tan.f64 B) (neg.f64 (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F)))) (*.f64 (tan.f64 B) (neg.f64 (sin.f64 B)))) |
(/.f64 (fma.f64 x (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) F))) (*.f64 (neg.f64 (tan.f64 B)) (neg.f64 (sin.f64 B)))) |
(/.f64 (fma.f64 x (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 (tan.f64 B)) (*.f64 F (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))))))) (*.f64 (neg.f64 (tan.f64 B)) (neg.f64 (sin.f64 B)))) |
(/.f64 (fma.f64 x (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 (tan.f64 B)) (neg.f64 (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F)))) (*.f64 (neg.f64 (tan.f64 B)) (neg.f64 (sin.f64 B)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) (/.f64 (neg.f64 x) (tan.f64 B))))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F)) (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F) (neg.f64 (tan.f64 B)) (*.f64 (sin.f64 B) x)) (*.f64 (sin.f64 B) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.f64 (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) |
(/.f64 (fma.f64 x (sin.f64 B) (*.f64 (neg.f64 (tan.f64 B)) (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F))) (*.f64 (neg.f64 (tan.f64 B)) (sin.f64 B))) |
(/.f64 (fma.f64 (neg.f64 x) (sin.f64 B) (*.f64 (tan.f64 B) (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F))) (*.f64 (tan.f64 B) (sin.f64 B))) |
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(/.f64 (neg.f64 x) (neg.f64 (neg.f64 (tan.f64 B)))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(/.f64 x (neg.f64 (tan.f64 B))) |
(neg.f64 (/.f64 x (tan.f64 B))) |
Compiled 36 408 to 2 770 computations (92.4% saved)
52 alts after pruning (49 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 540 | 17 | 557 |
| Fresh | 11 | 32 | 43 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 553 | 52 | 605 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 33.1% | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
| ▶ | 81.8% | (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
| 49.7% | (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 45.0% | (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x (neg.f64 x)) B))) | |
| 55.3% | (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| ✓ | 52.3% | (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
| 27.0% | (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) #s(approx (/ (neg x) (tan B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x (neg.f64 x)) B))) | |
| 49.1% | (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal -1/6 binary64) F) B)))) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 46.9% | (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 B F)))) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 67.9% | (/.f64 (fma.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) | |
| ▶ | 52.2% | (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
| 74.3% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))))) | |
| 45.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)))) | |
| 54.1% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) | |
| 38.0% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 38.9% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) | |
| 31.1% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B))) | |
| 53.2% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) | |
| 57.3% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) | |
| 24.5% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 B B)) #s(literal 1/45 binary64)) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) | |
| 39.0% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 24.9% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) | |
| 39.2% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 39.2% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 25.3% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) | |
| 33.1% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| 24.6% | (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) | |
| 53.2% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (-.f64 (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| 31.7% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) | |
| 48.9% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) | |
| 81.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) | |
| 53.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) | |
| 40.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) | |
| 53.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) | |
| 39.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) | |
| 39.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) | |
| 25.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) B) (*.f64 B x)) (*.f64 B B))) | |
| 27.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) | |
| 23.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) | |
| 12.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) | |
| 21.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) | |
| 20.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) | |
| ✓ | 12.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
| 11.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(approx (* (sqrt (/ 1 x)) (* (sqrt 1/2) F)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) B)) | |
| 23.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) | |
| ▶ | 25.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
| 52.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) | |
| 17.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) | |
| ✓ | 24.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
| ▶ | 15.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
| 18.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) | |
| 15.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
Compiled 4 869 to 3 201 computations (34.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (tan.f64 B) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 (neg.f64 x) (tan.f64 B)) | |
| cost-diff | 1 | (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| cost-diff | 0 | #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B)) | |
| cost-diff | 0 | (tan.f64 B) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (tan.f64 B)) | |
| cost-diff | 1 | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) | |
| cost-diff | 0 | #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B))) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) | |
| cost-diff | 1 | (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) | |
| cost-diff | 4 | (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)) | |
| cost-diff | 0 | #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) | |
| cost-diff | 0 | (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 604 |
| 0 | 105 | 594 |
| 1 | 204 | 580 |
| 2 | 495 | 575 |
| 3 | 1650 | 569 |
| 4 | 6328 | 569 |
| 0 | 8061 | 546 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
F |
(/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
#s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 F F #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sin.f64 B) |
B |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(neg.f64 x) |
x |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
(/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B) |
(-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) |
#s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
x |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 F F)) |
#s(literal 1/2 binary64) |
(*.f64 F F) |
F |
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) |
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
B |
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
(/.f64 #s(literal -1 binary64) (tan.f64 B)) |
#s(literal -1 binary64) |
(tan.f64 B) |
B |
x |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B)) |
(/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B) |
#s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 B B) #s(literal -1/6 binary64)) |
(*.f64 B B) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(neg.f64 x) |
x |
(tan.f64 B) |
B |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
| Outputs |
|---|
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (neg.f64 x) (tan.f64 B))) |
F |
(/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
#s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 F F #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sin.f64 B) |
B |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(neg.f64 x) |
x |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
(/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B) |
(-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) |
#s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
x |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal -1 binary64)) B)))) |
#s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B))) |
#s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal -1 binary64)) B))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal -1 binary64)) B)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 F F)) |
#s(literal 1/2 binary64) |
(*.f64 F F) |
F |
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) |
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
B |
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B) |
(/.f64 (-.f64 #s(literal -1 binary64) x) B) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B)) (/.f64 x (tan.f64 B))) |
(/.f64 #s(literal -1 binary64) (tan.f64 B)) |
#s(literal -1 binary64) |
(tan.f64 B) |
B |
x |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B)) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B)) |
(/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B) |
(/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B) |
#s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
#s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64)) |
(*.f64 (*.f64 B B) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 B B)) |
(*.f64 B B) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(neg.f64 x) |
x |
(tan.f64 B) |
B |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0390625 | (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| accuracy | 0.16015625 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| accuracy | 0.171875 | (/.f64 (neg.f64 x) (tan.f64 B)) | |
| accuracy | 44.43040294675625 | #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| accuracy | 0.171875 | (/.f64 #s(literal -1 binary64) (tan.f64 B)) | |
| accuracy | 12.061518189802321 | (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B) | |
| accuracy | 34.0742153825283 | #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B)) | |
| accuracy | 45.322839191245066 | #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0.40515127223976216 | (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) | |
| accuracy | 6.556039838356996 | (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)) | |
| accuracy | 34.6029002260386 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) | |
| accuracy | 36.09508397369777 | #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B))) | |
| accuracy | 0.0 | (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) | |
| accuracy | 0.07421875 | (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B) | |
| accuracy | 34.6029002260386 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) | |
| accuracy | 46.45379566736656 | #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) | |
| accuracy | 0.336601269536884 | (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) | |
| accuracy | 0.40234375 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) | |
| accuracy | 8.848341216857909 | #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) | |
| accuracy | 19.518022166310427 | (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) |
| 236.0ms | 256× | 0 | valid |
Compiled 445 to 65 computations (85.4% saved)
ival-add: 56.0ms (26.6% of total)ival-div: 51.0ms (24.3% of total)ival-tan: 44.0ms (20.9% of total)ival-mult: 24.0ms (11.4% of total)ival-pow: 11.0ms (5.2% of total)ival-sin: 7.0ms (3.3% of total)const: 7.0ms (3.3% of total)ival-sqrt: 4.0ms (1.9% of total)ival-neg: 3.0ms (1.4% of total)ival-sub: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
#s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
(/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B) |
(-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) |
#s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
(/.f64 #s(literal -1 binary64) (tan.f64 B)) |
(tan.f64 B) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B)) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(neg.f64 x) |
(sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 F F)) |
#s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| Outputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/8 (/ (pow F 2) (sqrt 1/2)))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* 1/2 (/ (* (pow F 2) (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* (pow F 2) (+ (* -1/2 (/ (* (pow F 2) (+ 1/16 (* -1/8 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(* -1 (/ x B)) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* -1 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) |
(/ (+ (* 1/2 (/ (+ 2 (* 2 x)) B)) (* (pow F 2) (- (* -1 (/ x B)) (/ 1 B)))) (pow F 2)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (/ (pow F 2) (sqrt 2)))) |
(+ (sqrt 2) (* (pow F 2) (+ (* -1/8 (/ (pow F 2) (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* (pow F 2) (+ (* (pow F 2) (- (* 1/16 (/ (pow F 2) (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (sqrt 2)))))) |
(/ 1/2 (pow F 2)) |
(* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))) |
(/ 1 (* F (sin B))) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F) |
(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(/ (- 1 (/ 1 (pow F 2))) F) |
(/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F) |
(/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(/ (- 1 x) B) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B))) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) (/ x B)) |
(- 1 x) |
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) x) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) |
(- (* -1 (/ x B)) (/ 1 B)) |
(- (+ (* -1 (/ x B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) (/ 1 B)) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
F |
(* F (+ 1 (/ 1 (pow F 2)))) |
(* F (- (+ 1 (/ 1 (pow F 2))) (/ 1/2 (pow F 4)))) |
(* F (- (+ 1 (+ (/ 1 (pow F 2)) (* 1/2 (/ 1 (pow F 6))))) (/ 1/2 (pow F 4)))) |
(+ 1 (* 1/6 (pow B 2))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (* 1/6 (pow B 2)))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (* 1/6 (pow B 2))))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (* 1/6 (pow B 2)))))) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* 1/6 B) (/ 1 B))) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (+ (* 1/6 B) (/ 1 B)))) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (* B (pow F 6)))) (+ (* 1/6 B) (/ 1 B))))) |
(- (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B))))))) (/ 1 (sin B))) |
(/ -1 (* F (sin B))) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F)) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(* -1 (/ (- 1 (/ 1 (pow F 2))) F)) |
(* -1 (/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F)) |
(* -1 (/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F)) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(* -1 (/ (+ 1 x) B)) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6))))))) |
(* -1 (+ 1 x)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x)) |
-1 |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) 1) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(* -1 F) |
(* -1 (* F (+ 1 (/ 1 (pow F 2))))) |
(* -1 (* F (- (+ 1 (/ 1 (pow F 2))) (/ 1/2 (pow F 4))))) |
(* -1 (* F (- (+ 1 (+ (/ 1 (pow F 2)) (* 1/2 (/ 1 (pow F 6))))) (/ 1/2 (pow F 4))))) |
(- (* -1/6 (pow B 2)) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (* -1/6 (pow B 2))) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (pow F 4))) (* -1/6 (pow B 2)))) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (pow F 4))) (+ (* -1/2 (/ (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- (* -1/6 (pow B 2)) 1)) (pow F 6))) (* -1/6 (pow B 2))))) 1) |
(/ (- (* -1/6 (pow B 2)) 1) B) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (* -1/6 B)) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 4)))) (* -1/6 B))) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 4)))) (+ (* -1/2 (/ (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 6)))) (* -1/6 B)))) (/ 1 B)) |
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x))))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))))))) B) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 7/360 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 31/15120 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(/ (- (+ (* -1 x) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) 1) B) |
(/ -1 B) |
(/ (- (* 1/3 (pow B 2)) 1) B) |
(/ (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1) B) |
(/ (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1) B) |
B |
(* B (+ 1 (* 1/3 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2)))))) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2)))))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))) B) |
(* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(/ 1 B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* -1 (/ (cos B) (sin B))) |
(/ (sin B) (cos B)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* -1 (/ (+ (* -1 (- (* -1 x) 1)) (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) B)) |
(* -1 (* B (+ (* -1 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* -1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* -1 (/ (cos B) (sin B))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) 1))) |
(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) |
(- (/ 1 (* B (pow F 2))) (/ 1 B)) |
(- (+ (* x (- (/ 1 (* B (pow F 2))) (/ 1 B))) (/ 1 (* B (pow F 2)))) (/ 1 B)) |
(- (* -1 x) 1) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F)))) |
(+ (* -1 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* x (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ F (* 1/6 (* (pow B 2) F))))) (* 3/2 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* x (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ F (* 1/6 (* (pow B 2) F))))) (* x (+ (* -5/2 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))) (+ F (* 1/6 (* (pow B 2) F))))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
(* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (* (sin B) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B)))))) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(* x (- (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))))) |
(* x (- (/ 1 (* B (pow F 2))) (/ 1 B))) |
(* x (- (+ (/ 1 (* B (* (pow F 2) x))) (/ 1 (* B (pow F 2)))) (+ (/ 1 B) (/ 1 (* B x))))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x)))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt -1/2)))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B)))) |
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x))))) |
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
(* -1 (* x (- (/ 1 B) (/ 1 (* B (pow F 2)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 (* B (pow F 2))) (/ 1 B)) x)) (/ 1 B)) (/ 1 (* B (pow F 2)))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | F | @ | inf | ((+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ 1 (sqrt (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (+ (* -1 x) -1) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (+ (* (/ -1 (tan B)) x) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ -1 (tan B)) (tan B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (+ (/ (neg x) (tan B)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (neg x) (tan B)) (neg x) (sqrt (+ (* F F) 2)) (/ 1/2 (* F F)) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (sin B))) |
| 5.0ms | B | @ | -inf | ((+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ 1 (sqrt (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (+ (* -1 x) -1) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (+ (* (/ -1 (tan B)) x) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ -1 (tan B)) (tan B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (+ (/ (neg x) (tan B)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (neg x) (tan B)) (neg x) (sqrt (+ (* F F) 2)) (/ 1/2 (* F F)) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (sin B))) |
| 5.0ms | B | @ | inf | ((+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ 1 (sqrt (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (+ (* -1 x) -1) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (+ (* (/ -1 (tan B)) x) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ -1 (tan B)) (tan B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (+ (/ (neg x) (tan B)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (neg x) (tan B)) (neg x) (sqrt (+ (* F F) 2)) (/ 1/2 (* F F)) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (sin B))) |
| 5.0ms | B | @ | 0 | ((+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ 1 (sqrt (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (+ (* -1 x) -1) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (+ (* (/ -1 (tan B)) x) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ -1 (tan B)) (tan B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (+ (/ (neg x) (tan B)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (neg x) (tan B)) (neg x) (sqrt (+ (* F F) 2)) (/ 1/2 (* F F)) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (sin B))) |
| 4.0ms | x | @ | -inf | ((+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ 1 (sqrt (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (+ (* -1 x) -1) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (+ (* (/ -1 (tan B)) x) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ -1 (tan B)) (tan B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (+ (/ (neg x) (tan B)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (neg x) (tan B)) (neg x) (sqrt (+ (* F F) 2)) (/ 1/2 (* F F)) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (sin B))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1245 | 11645 |
| 1 | 4479 | 11506 |
| 0 | 8217 | 10502 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/8 (/ (pow F 2) (sqrt 1/2)))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* 1/2 (/ (* (pow F 2) (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* (pow F 2) (+ (* -1/2 (/ (* (pow F 2) (+ 1/16 (* -1/8 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(* -1 (/ x B)) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* -1 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) |
(/ (+ (* 1/2 (/ (+ 2 (* 2 x)) B)) (* (pow F 2) (- (* -1 (/ x B)) (/ 1 B)))) (pow F 2)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (/ (pow F 2) (sqrt 2)))) |
(+ (sqrt 2) (* (pow F 2) (+ (* -1/8 (/ (pow F 2) (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* (pow F 2) (+ (* (pow F 2) (- (* 1/16 (/ (pow F 2) (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (sqrt 2)))))) |
(/ 1/2 (pow F 2)) |
(* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))) |
(/ 1 (* F (sin B))) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F) |
(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(/ (- 1 (/ 1 (pow F 2))) F) |
(/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F) |
(/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(/ (- 1 x) B) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B))) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) (/ x B)) |
(- 1 x) |
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) x) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) |
(- (* -1 (/ x B)) (/ 1 B)) |
(- (+ (* -1 (/ x B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) (/ 1 B)) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
F |
(* F (+ 1 (/ 1 (pow F 2)))) |
(* F (- (+ 1 (/ 1 (pow F 2))) (/ 1/2 (pow F 4)))) |
(* F (- (+ 1 (+ (/ 1 (pow F 2)) (* 1/2 (/ 1 (pow F 6))))) (/ 1/2 (pow F 4)))) |
(+ 1 (* 1/6 (pow B 2))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (* 1/6 (pow B 2)))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (* 1/6 (pow B 2))))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (* 1/6 (pow B 2)))))) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* 1/6 B) (/ 1 B))) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (+ (* 1/6 B) (/ 1 B)))) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (* B (pow F 6)))) (+ (* 1/6 B) (/ 1 B))))) |
(- (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B))))))) (/ 1 (sin B))) |
(/ -1 (* F (sin B))) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F)) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(* -1 (/ (- 1 (/ 1 (pow F 2))) F)) |
(* -1 (/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F)) |
(* -1 (/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F)) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(* -1 (/ (+ 1 x) B)) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6))))))) |
(* -1 (+ 1 x)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x)) |
-1 |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) 1) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(* -1 F) |
(* -1 (* F (+ 1 (/ 1 (pow F 2))))) |
(* -1 (* F (- (+ 1 (/ 1 (pow F 2))) (/ 1/2 (pow F 4))))) |
(* -1 (* F (- (+ 1 (+ (/ 1 (pow F 2)) (* 1/2 (/ 1 (pow F 6))))) (/ 1/2 (pow F 4))))) |
(- (* -1/6 (pow B 2)) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (* -1/6 (pow B 2))) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (pow F 4))) (* -1/6 (pow B 2)))) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (pow F 4))) (+ (* -1/2 (/ (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- (* -1/6 (pow B 2)) 1)) (pow F 6))) (* -1/6 (pow B 2))))) 1) |
(/ (- (* -1/6 (pow B 2)) 1) B) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (* -1/6 B)) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 4)))) (* -1/6 B))) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 4)))) (+ (* -1/2 (/ (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 6)))) (* -1/6 B)))) (/ 1 B)) |
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x))))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))))))) B) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 7/360 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 31/15120 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(/ (- (+ (* -1 x) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) 1) B) |
(/ -1 B) |
(/ (- (* 1/3 (pow B 2)) 1) B) |
(/ (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1) B) |
(/ (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1) B) |
B |
(* B (+ 1 (* 1/3 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2)))))) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2)))))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))) B) |
(* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(/ 1 B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* -1 (/ (cos B) (sin B))) |
(/ (sin B) (cos B)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* -1 (/ (+ (* -1 (- (* -1 x) 1)) (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) B)) |
(* -1 (* B (+ (* -1 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* -1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* -1 (/ (cos B) (sin B))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) 1))) |
(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) |
(- (/ 1 (* B (pow F 2))) (/ 1 B)) |
(- (+ (* x (- (/ 1 (* B (pow F 2))) (/ 1 B))) (/ 1 (* B (pow F 2)))) (/ 1 B)) |
(- (* -1 x) 1) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F)))) |
(+ (* -1 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* x (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ F (* 1/6 (* (pow B 2) F))))) (* 3/2 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* x (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ F (* 1/6 (* (pow B 2) F))))) (* x (+ (* -5/2 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))) (+ F (* 1/6 (* (pow B 2) F))))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
(* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (* (sin B) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B)))))) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(* x (- (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))))) |
(* x (- (/ 1 (* B (pow F 2))) (/ 1 B))) |
(* x (- (+ (/ 1 (* B (* (pow F 2) x))) (/ 1 (* B (pow F 2)))) (+ (/ 1 B) (/ 1 (* B x))))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x)))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt -1/2)))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B)))) |
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x))))) |
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
(* -1 (* x (- (/ 1 B) (/ 1 (* B (pow F 2)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 (* B (pow F 2))) (/ 1 B)) x)) (/ 1 B)) (/ 1 (* B (pow F 2)))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
| Outputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x))) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) |
(+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 7 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -5/16 binary64) (*.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))))) (*.f64 F F) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal 3/8 binary64))) (*.f64 F F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/8 (/ (pow F 2) (sqrt 1/2)))) |
(fma.f64 (/.f64 (*.f64 F F) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* 1/2 (/ (* (pow F 2) (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/32 binary64) (*.f64 F F))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 F F) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* (pow F 2) (+ (* -1/2 (/ (* (pow F 2) (+ 1/16 (* -1/8 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 5/128 binary64) (*.f64 F F)) #s(literal 3/64 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 F F)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 F F) (sqrt.f64 #s(literal 1/2 binary64))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x))) (sin.f64 B)) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* -1 (/ x B)) |
(/.f64 (neg.f64 x) B) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F (neg.f64 x)) B) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) B)) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) B)) |
(* -1 x) |
(neg.f64 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) F) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) F) x) |
(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) F) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) F) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal 3/8 binary64))) (*.f64 F F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) F) |
(* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B)) |
(/ (+ (* 1/2 (/ (+ 2 (* 2 x)) B)) (* (pow F 2) (- (* -1 (/ x B)) (/ 1 B)))) (pow F 2)) |
(/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 x) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 F F) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) #s(literal 1/2 binary64))) (*.f64 F F)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 7 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -5/16 binary64) (*.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))))) (*.f64 F F) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* 1/2 (/ (pow F 2) (sqrt 2)))) |
(fma.f64 (/.f64 (*.f64 F F) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* (pow F 2) (+ (* -1/8 (/ (pow F 2) (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2)))))) |
(fma.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 F F) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 F F) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* (pow F 2) (+ (* (pow F 2) (- (* 1/16 (/ (pow F 2) (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (sqrt 2)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 F F)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 F F) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 F F) (sqrt.f64 #s(literal 2 binary64))) |
(/ 1/2 (pow F 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 F F)) |
(* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) |
(* F (+ (* -1/2 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F) |
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
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(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
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(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
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(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
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(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
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(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
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(/ (- (+ (* -1 x) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) 1) B) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (neg.f64 x)) #s(literal 1 binary64)) B) |
(/ -1 B) |
(/.f64 #s(literal -1 binary64) B) |
(/ (- (* 1/3 (pow B 2)) 1) B) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) #s(literal 1 binary64)) B) |
(/ (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1) B) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B)) #s(literal 1 binary64)) B) |
(/ (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1) B) |
(/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B)) #s(literal 1 binary64)) B) |
B |
(* B (+ 1 (* 1/3 (pow B 2)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2)))))) |
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(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2)))))))) |
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(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 F B)) |
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(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F)) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 B) B) (*.f64 (*.f64 F #s(literal -7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64))))))) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F)) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
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(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B) |
(/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64) (neg.f64 x)) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))))) B) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))) B) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B) |
(* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F)) |
(/ 1 B) |
(/.f64 #s(literal 1 binary64) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
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(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x))) (sin.f64 B)) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x))) (sin.f64 B)) |
(* -1 (/ (cos B) (sin B))) |
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))) |
(* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(*.f64 (*.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64))))) |
(* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 (/.f64 F (*.f64 B B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))))) (*.f64 B B)) |
(* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 B F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64))))) |
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 (/.f64 F (*.f64 B B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))))) B) |
(* -1 (/ (+ (* -1 (- (* -1 x) 1)) (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) B)) |
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(* -1 (* B (+ (* -1 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* -1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) |
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* -1 (/ (cos B) (sin B))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
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(* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) B))) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 529 |
| 0 | 105 | 519 |
| 1 | 460 | 490 |
| 2 | 3506 | 490 |
| 0 | 8277 | 464 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
#s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
(/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B) |
(-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) |
#s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
(/.f64 #s(literal -1 binary64) (tan.f64 B)) |
(tan.f64 B) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B)) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(neg.f64 x) |
(sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 F F)) |
#s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F (/.f64 x (tan.f64 B))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F)) (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F) (neg.f64 (tan.f64 B)) (*.f64 (sin.f64 B) x)) (*.f64 (sin.f64 B) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.f64 (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) |
(/.f64 (fma.f64 x (sin.f64 B) (*.f64 (neg.f64 (tan.f64 B)) (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F))) (*.f64 (neg.f64 (tan.f64 B)) (sin.f64 B))) |
(/.f64 (fma.f64 (neg.f64 x) (sin.f64 B) (*.f64 (tan.f64 B) (*.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F))) (*.f64 (tan.f64 B) (sin.f64 B))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F (/.f64 x (tan.f64 B)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) (/.f64 (neg.f64 x) (tan.f64 B)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F)) (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B) (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F)) |
(fma.f64 (neg.f64 x) (pow.f64 (tan.f64 B) #s(literal -1 binary64)) (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F)) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F)) |
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) (neg.f64 x) (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F)) |
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 x (*.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 B) #s(literal -1 binary64))) (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F)) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F)) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F (/.f64 x (tan.f64 B)))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F (/.f64 x (tan.f64 B))))) |
(-.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B)))) |
(-.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (neg.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B))) F)) |
(-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (neg.f64 F) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 3 binary64)) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F)) (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F)) (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)) F)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (neg.f64 (neg.f64 (sin.f64 B)))) |
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(tan.f64 B) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B)) |
(/.f64 (-.f64 (pow.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (/.f64 (neg.f64 x) (tan.f64 B)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (/.f64 (neg.f64 x) (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (*.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (/.f64 (neg.f64 x) (tan.f64 B)))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (fma.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (/.f64 (neg.f64 x) (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 x) (pow.f64 (tan.f64 B) #s(literal -1 binary64)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) (neg.f64 x) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))) |
(fma.f64 x (*.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 B) #s(literal -1 binary64))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))))) (/.f64 (pow.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B)))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (/.f64 x (tan.f64 B))) |
(+.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (fma.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (/.f64 (neg.f64 x) (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (/.f64 (neg.f64 x) (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))))) |
(+.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B)) |
(*.f64 (neg.f64 x) (pow.f64 (tan.f64 B) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x) |
(*.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 x (*.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 B) #s(literal -1 binary64)))) |
(*.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (tan.f64 B)) |
(/.f64 (neg.f64 x) (neg.f64 (neg.f64 (tan.f64 B)))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(/.f64 x (neg.f64 (tan.f64 B))) |
(neg.f64 (/.f64 x (tan.f64 B))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (pow.f64 F #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 F F)))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (*.f64 F F) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 F #s(literal 6 binary64)) #s(literal 8 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 F F) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64))) (sqrt.f64 (-.f64 (*.f64 F F) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 F #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 F #s(literal 4 binary64)) (*.f64 (*.f64 F F) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 F #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 F F) #s(literal 2 binary64))))) |
(sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 F)) (neg.f64 F)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) F)) (neg.f64 F)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) F) F) |
(/.f64 #s(literal 1/2 binary64) (*.f64 F F)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 F) F)) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F))) |
#s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 B))) |
(/.f64 (neg.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64)))) (neg.f64 B)) |
(/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B) |
(neg.f64 (/.f64 (neg.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64)))) B)) |
(neg.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) (neg.f64 B))) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (sin.f64 B))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (sin.f64 B))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (sin.f64 B) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1 binary64)))) |
Compiled 38 357 to 2 850 computations (92.6% saved)
59 alts after pruning (54 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 576 | 20 | 596 |
| Fresh | 10 | 34 | 44 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 589 | 59 | 648 |
| Status | Accuracy | Program |
|---|---|---|
| 31.1% | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B))) | |
| 64.7% | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F)) B))) | |
| 53.2% | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) | |
| 34.8% | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 B F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))))))) | |
| 24.5% | (fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) | |
| 24.9% | (fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) | |
| 56.5% | (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) | |
| 49.7% | (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 45.0% | (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x (neg.f64 x)) B))) | |
| 55.3% | (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| ✓ | 52.3% | (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
| 27.0% | (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) #s(approx (/ (neg x) (tan B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x (neg.f64 x)) B))) | |
| 49.1% | (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal -1/6 binary64) F) B)))) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 46.9% | (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 B F)))) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 67.9% | (/.f64 (fma.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) | |
| 52.2% | (+.f64 (/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| 38.0% | (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| ✓ | 52.2% | (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
| 46.2% | (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) | |
| 33.1% | (+.f64 (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| 74.3% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))))) | |
| 45.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)))) | |
| 54.1% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) | |
| 39.0% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 39.2% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 39.2% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 25.3% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) | |
| 33.1% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| 24.6% | (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) | |
| 53.2% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (-.f64 (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| 31.7% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) | |
| 48.9% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) | |
| 81.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) | |
| 40.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) | |
| 53.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) | |
| 23.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) B)) | |
| 39.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) | |
| 39.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) | |
| 25.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) B) (*.f64 B x)) (*.f64 B B))) | |
| 27.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) | |
| 12.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) | |
| 20.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) | |
| 21.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) | |
| ✓ | 12.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
| 11.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(approx (* (sqrt (/ 1 x)) (* (sqrt 1/2) F)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) B)) | |
| 23.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) | |
| ✓ | 25.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
| 52.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) | |
| 22.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B))) | |
| 17.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) | |
| ✓ | 24.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
| 25.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) | |
| 15.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) | |
| 18.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) | |
| 15.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) | |
| 3.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 x) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 F F) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) #s(literal 1/2 binary64))) (*.f64 F F))))) | |
| 9.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) | |
| 2.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B))))) | |
| 13.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
Compiled 7 951 to 2 484 computations (68.8% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (-.f64 (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(fma.f64 F (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(/.f64 (fma.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
(fma.f64 F (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
4 calls:
| 69.0ms | x |
| 50.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 44.0ms | F |
| 38.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 2 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 99.6% | 3 | F |
| 81.8% | 1 | B |
| 81.8% | 1 | x |
Compiled 30 to 29 computations (3.3% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(approx (* (sqrt (/ 1 x)) (* (sqrt 1/2) F)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 x) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 F F) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) #s(literal 1/2 binary64))) (*.f64 F F))))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 B B)) #s(literal 1/45 binary64)) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 B F)))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B))) |
(+.f64 (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -7/360 binary64) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 #s(literal 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) B) (*.f64 B x)) (*.f64 B B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal -1/6 binary64) F) B)))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) #s(approx (/ (neg x) (tan B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x (neg.f64 x)) B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 B F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F)) B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x (neg.f64 x)) B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (neg.f64 (*.f64 F #s(literal -7/360 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B)) x)) B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (-.f64 (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
1 calls:
| 98.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -7/360 binary64) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 #s(literal 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) B) (*.f64 B x)) (*.f64 B B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal -1/6 binary64) F) B)))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) #s(approx (/ (neg x) (tan B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x (neg.f64 x)) B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 B F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F)) B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x (neg.f64 x)) B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (neg.f64 (*.f64 F #s(literal -7/360 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B)) x)) B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
1 calls:
| 21.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(approx (* (sqrt (/ 1 x)) (* (sqrt 1/2) F)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 x) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 F F) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) #s(literal 1/2 binary64))) (*.f64 F F))))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 B B)) #s(literal 1/45 binary64)) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 B F)))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B))) |
(+.f64 (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -7/360 binary64) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 #s(literal 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) B) (*.f64 B x)) (*.f64 B B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal -1/6 binary64) F) B)))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) #s(approx (/ (neg x) (tan B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x (neg.f64 x)) B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 B F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F)) B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x (neg.f64 x)) B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (neg.f64 (*.f64 F #s(literal -7/360 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B)) x)) B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
1 calls:
| 21.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
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(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal -1/6 binary64) F) B)))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) #s(approx (/ (neg x) (tan B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x (neg.f64 x)) B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 B F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F)) B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x (neg.f64 x)) B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (neg.f64 (*.f64 F #s(literal -7/360 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B)) x)) B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
1 calls:
| 19.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.0% | 4 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(approx (* (sqrt (/ 1 x)) (* (sqrt 1/2) F)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 x) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 F F) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) #s(literal 1/2 binary64))) (*.f64 F F))))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 B B)) #s(literal 1/45 binary64)) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 B F)))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B))) |
(+.f64 (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -7/360 binary64) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 #s(literal 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) B) (*.f64 B x)) (*.f64 B B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal -1/6 binary64) F) B)))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) #s(approx (/ (neg x) (tan B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x (neg.f64 x)) B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 B F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F)) B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x (neg.f64 x)) B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (neg.f64 (*.f64 F #s(literal -7/360 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B)) x)) B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
(+.f64 (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
2 calls:
| 75.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 18.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.7% | 4 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 87.6% | 4 | F |
Compiled 28 to 23 computations (17.9% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
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(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
| Outputs |
|---|
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal -1/6 binary64) F) B)))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
(+.f64 (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
3 calls:
| 81.0ms | B |
| 54.0ms | x |
| 49.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.7% | 1 | B |
| 76.5% | 3 | x |
| 81.1% | 5 | F |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(approx (* (sqrt (/ 1 x)) (* (sqrt 1/2) F)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 x) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 F F) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) #s(literal 1/2 binary64))) (*.f64 F F))))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 B B)) #s(literal 1/45 binary64)) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 B F)))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B))) |
(+.f64 (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -7/360 binary64) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 #s(literal 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) B) (*.f64 B x)) (*.f64 B B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal -1/6 binary64) F) B)))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) #s(approx (/ (neg x) (tan B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x (neg.f64 x)) B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 B F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F)) B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x (neg.f64 x)) B))) |
| Outputs |
|---|
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal -1/6 binary64) F) B)))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(+.f64 (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
3 calls:
| 45.0ms | x |
| 16.0ms | F |
| 16.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.8% | 4 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 71.8% | 3 | x |
| 76.2% | 4 | F |
Compiled 29 to 26 computations (10.3% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(approx (* (sqrt (/ 1 x)) (* (sqrt 1/2) F)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 x) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 F F) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) #s(literal 1/2 binary64))) (*.f64 F F))))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 B B)) #s(literal 1/45 binary64)) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 B F)))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B))) |
(+.f64 (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -7/360 binary64) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 #s(literal 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) B) (*.f64 B x)) (*.f64 B B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal -1/6 binary64) F) B)))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) #s(approx (/ (neg x) (tan B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x (neg.f64 x)) B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 B F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F)) B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) |
| Outputs |
|---|
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal -1/6 binary64) F) B)))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(+.f64 (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
1 calls:
| 16.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.2% | 4 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(approx (* (sqrt (/ 1 x)) (* (sqrt 1/2) F)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 x) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 F F) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) #s(literal 1/2 binary64))) (*.f64 F F))))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 B B)) #s(literal 1/45 binary64)) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 B F)))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B))) |
(+.f64 (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -7/360 binary64) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 #s(literal 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) B) (*.f64 B x)) (*.f64 B B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal -1/6 binary64) F) B)))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) #s(approx (/ (neg x) (tan B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x (neg.f64 x)) B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) B) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 B F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))))))) |
| Outputs |
|---|
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
3 calls:
| 57.0ms | x |
| 46.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 28.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.0% | 3 | x |
| 63.7% | 3 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 70.2% | 5 | F |
Compiled 29 to 26 computations (10.3% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(approx (* (sqrt (/ 1 x)) (* (sqrt 1/2) F)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 x) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 F F) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) #s(literal 1/2 binary64))) (*.f64 F F))))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 B B)) #s(literal 1/45 binary64)) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 B F)))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
| Outputs |
|---|
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
3 calls:
| 39.0ms | B |
| 23.0ms | F |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.9% | 3 | F |
| 62.8% | 2 | B |
| 62.2% | 4 | x |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(approx (* (sqrt (/ 1 x)) (* (sqrt 1/2) F)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 x) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 F F) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) #s(literal 1/2 binary64))) (*.f64 F F))))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 B B)) #s(literal 1/45 binary64)) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
| Outputs |
|---|
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
4 calls:
| 66.0ms | x |
| 19.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 11.0ms | B |
| 11.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.7% | 3 | x |
| 55.6% | 3 | F |
| 48.5% | 4 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 49.7% | 2 | B |
Compiled 30 to 29 computations (3.3% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(approx (* (sqrt (/ 1 x)) (* (sqrt 1/2) F)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 x) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 F F) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) #s(literal 1/2 binary64))) (*.f64 F F))))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 B B)) #s(literal 1/45 binary64)) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
| Outputs |
|---|
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
3 calls:
| 70.0ms | B |
| 11.0ms | F |
| 11.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.9% | 2 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 40.0% | 1 | B |
| 46.0% | 3 | F |
Compiled 29 to 26 computations (10.3% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(approx (* (sqrt (/ 1 x)) (* (sqrt 1/2) F)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 x) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 F F) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) #s(literal 1/2 binary64))) (*.f64 F F))))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 B B)) #s(literal 1/45 binary64)) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
| Outputs |
|---|
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
1 calls:
| 48.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.0% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(approx (* (sqrt (/ 1 x)) (* (sqrt 1/2) F)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 x) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 F F) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) #s(literal 1/2 binary64))) (*.f64 F F))))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 B B)) #s(literal 1/45 binary64)) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) |
| Outputs |
|---|
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
1 calls:
| 10.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.0% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(approx (* (sqrt (/ 1 x)) (* (sqrt 1/2) F)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 x) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 F F) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) #s(literal 1/2 binary64))) (*.f64 F F))))) |
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B)) #s(literal 1 binary64)) B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) #s(literal 1 binary64))) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 B B)) #s(literal 1/45 binary64)) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
| Outputs |
|---|
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
1 calls:
| 9.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.0% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
| Outputs |
|---|
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
1 calls:
| 6.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.8% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
| Outputs |
|---|
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
4 calls:
| 78.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 5.0ms | x |
| 5.0ms | B |
| 4.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 25.5% | 1 | B |
| 35.2% | 3 | x |
| 32.9% | 3 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 40.7% | 5 | F |
Compiled 30 to 29 computations (3.3% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
| Outputs |
|---|
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
1 calls:
| 4.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.7% | 5 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
| Outputs |
|---|
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
1 calls:
| 4.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.4% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) (+.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* x 2) 2) B)) (/ (+ (* -1 x) -1) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
1 calls:
| 72.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.3% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
3 calls:
| 1.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 1.0ms | x |
| 1.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.9% | 3 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 25.5% | 1 | x |
| 31.2% | 2 | F |
Compiled 29 to 26 computations (10.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
4 calls:
| 1.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 1.0ms | F |
| 1.0ms | B |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.1% | 1 | B |
| 24.1% | 1 | x |
| 24.1% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 24.1% | 1 | F |
Compiled 30 to 29 computations (3.3% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 4.391103272345568e+38 | 7.175741174864955e+43 |
| 99.0ms | -161890872889616480.0 | -6.8388104384030335 |
| 110.0ms | 288× | 0 | valid |
| 5.0ms | 26× | 0 | invalid |
Compiled 1 046 to 808 computations (22.8% saved)
ival-mult: 69.0ms (66% of total)ival-tan: 8.0ms (7.7% of total)ival-sin: 7.0ms (6.7% of total)ival-div: 6.0ms (5.7% of total)ival-pow: 6.0ms (5.7% of total)ival-add: 4.0ms (3.8% of total)ival-neg: 3.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.391103272345568e+38 | 7.175741174864955e+43 |
| 23.0ms | -161890872889616480.0 | -6.8388104384030335 |
| 18.0ms | 64× | 0 | valid |
| 1.0ms | 4× | 0 | invalid |
Compiled 1 226 to 952 computations (22.3% saved)
ival-tan: 9.0ms (53.5% of total)ival-mult: 2.0ms (11.9% of total)ival-sin: 2.0ms (11.9% of total)ival-div: 1.0ms (5.9% of total)ival-add: 1.0ms (5.9% of total)ival-pow: 1.0ms (5.9% of total)ival-neg: 1.0ms (5.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 1.766455406021438e-5 | 31391354831.109848 |
| 7.0ms | -3.102845799346117e+57 | -3.3764441676450614e+54 |
| 27.0ms | 80× | 0 | valid |
| 0.0ms | 3× | 0 | invalid |
Compiled 458 to 339 computations (26% saved)
ival-mult: 15.0ms (61.7% of total)ival-div: 2.0ms (8.2% of total)ival-sin: 2.0ms (8.2% of total)ival-tan: 2.0ms (8.2% of total)ival-pow: 2.0ms (8.2% of total)ival-add: 1.0ms (4.1% of total)ival-neg: 1.0ms (4.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 63.0ms | 1.766455406021438e-5 | 31391354831.109848 |
| 53.0ms | -161890872889616480.0 | -6.8388104384030335 |
| 62.0ms | 272× | 0 | valid |
| 18.0ms | 49× | 0 | invalid |
Compiled 1 420 to 1 056 computations (25.6% saved)
ival-sin: 23.0ms (33% of total)ival-mult: 19.0ms (27.3% of total)ival-tan: 8.0ms (11.5% of total)ival-div: 6.0ms (8.6% of total)ival-pow: 6.0ms (8.6% of total)ival-add: 4.0ms (5.7% of total)ival-neg: 3.0ms (4.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 66.0ms | 1.766455406021438e-5 | 31391354831.109848 |
| 61.0ms | 2.094120108742133e-225 | 9.616168352931392e-223 |
| 62.0ms | -7.043944536755303e-5 | -2.8909095839838338e-11 |
| 159.0ms | 400× | 0 | valid |
| 8.0ms | 51× | 0 | invalid |
Compiled 2 056 to 1 531 computations (25.5% saved)
ival-sin: 44.0ms (28.8% of total)ival-tan: 39.0ms (25.5% of total)ival-pow: 38.0ms (24.9% of total)ival-mult: 11.0ms (7.2% of total)ival-div: 9.0ms (5.9% of total)ival-add: 6.0ms (3.9% of total)ival-neg: 4.0ms (2.6% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.2567345578770302e+125 | 2.9006780325256236e+128 |
| 2.0ms | 2.094120108742133e-225 | 9.616168352931392e-223 |
| 2.0ms | -7.043944536755303e-5 | -2.8909095839838338e-11 |
| 11.0ms | 64× | 0 | valid |
| 0.0ms | 1× | 0 | invalid |
Compiled 1 604 to 1 189 computations (25.9% saved)
ival-mult: 2.0ms (22% of total)ival-tan: 2.0ms (22% of total)ival-div: 1.0ms (11% of total)ival-add: 1.0ms (11% of total)ival-sin: 1.0ms (11% of total)ival-pow: 1.0ms (11% of total)ival-neg: 1.0ms (11% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 4× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.2567345578770302e+125 | 2.9006780325256236e+128 |
| 2.0ms | 2.094120108742133e-225 | 9.616168352931392e-223 |
| 60.0ms | -1.4458172160203278e-117 | -6.390170401184905e-124 |
| 92.0ms | -3.0721554611955473e+113 | -2.299093715255144e+109 |
| 136.0ms | 272× | 0 | valid |
| 2.0ms | 15× | 0 | invalid |
Compiled 2 229 to 1 629 computations (26.9% saved)
ival-tan: 64.0ms (49.7% of total)ival-sin: 38.0ms (29.5% of total)ival-mult: 7.0ms (5.4% of total)ival-div: 6.0ms (4.7% of total)ival-pow: 6.0ms (4.7% of total)ival-add: 4.0ms (3.1% of total)ival-neg: 3.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 66.0ms | 1.766455406021438e-5 | 31391354831.109848 |
| 53.0ms | 1.0803848702162333e-131 | 9.182402394360926e-129 |
| 65.0ms | -4.5211492549720996e+142 | -1.414281694132571e+136 |
| 127.0ms | 384× | 0 | valid |
| 5.0ms | 22× | 0 | invalid |
Compiled 2 120 to 1 558 computations (26.5% saved)
ival-mult: 45.0ms (39.3% of total)ival-tan: 15.0ms (13.1% of total)ival-sin: 14.0ms (12.2% of total)ival-pow: 13.0ms (11.3% of total)ival-div: 12.0ms (10.5% of total)ival-add: 9.0ms (7.9% of total)ival-neg: 5.0ms (4.4% of total)ival-true: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 1.766455406021438e-5 | 31391354831.109848 |
| 3.0ms | 1.0803848702162333e-131 | 9.182402394360926e-129 |
| 73.0ms | -1.414281694132571e+136 | -4.849058713058526e+134 |
| 64.0ms | 112× | 0 | valid |
Compiled 2 373 to 1 660 computations (30% saved)
ival-tan: 37.0ms (63% of total)ival-mult: 5.0ms (8.5% of total)ival-div: 4.0ms (6.8% of total)ival-sin: 4.0ms (6.8% of total)ival-pow: 4.0ms (6.8% of total)ival-add: 3.0ms (5.1% of total)ival-neg: 2.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 89.0ms | 5.797144629019863e-13 | 0.0004318187643717356 |
| 83.0ms | -1.611313546691308e-71 | -2.139848102093643e-79 |
| 151.0ms | 288× | 0 | valid |
Compiled 1 362 to 1 016 computations (25.4% saved)
ival-mult: 47.0ms (44.8% of total)ival-sin: 12.0ms (11.4% of total)ival-tan: 12.0ms (11.4% of total)ival-pow: 11.0ms (10.5% of total)ival-div: 10.0ms (9.5% of total)ival-add: 7.0ms (6.7% of total)ival-neg: 5.0ms (4.8% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 85.0ms | 0.007571768770628915 | 1.7425491798373272 |
| 75.0ms | 112× | 0 | valid |
Compiled 716 to 488 computations (31.8% saved)
ival-mult: 5.0ms (21.2% of total)ival-div: 4.0ms (17% of total)ival-pow: 4.0ms (17% of total)ival-add: 3.0ms (12.7% of total)ival-tan: 3.0ms (12.7% of total)ival-sin: 2.0ms (8.5% of total)ival-neg: 2.0ms (8.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 75.0ms | 1.766455406021438e-5 | 31391354831.109848 |
| 91.0ms | -3.220416027554447e+30 | -8721137368206096000.0 |
| 84.0ms | 256× | 0 | valid |
| 34.0ms | 36× | 0 | invalid |
Compiled 2 370 to 1 486 computations (37.3% saved)
ival-div: 35.0ms (33.9% of total)ival-sin: 22.0ms (21.3% of total)ival-mult: 13.0ms (12.6% of total)ival-tan: 11.0ms (10.7% of total)ival-pow: 9.0ms (8.7% of total)ival-add: 7.0ms (6.8% of total)ival-neg: 4.0ms (3.9% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 51.0ms | 3.7530664619401287e+121 | 1.2567345578770302e+125 |
| 22.0ms | -7420560259995453000.0 | -161890872889616480.0 |
| 47.0ms | 160× | 0 | valid |
| 16.0ms | 4× | 0 | invalid |
Compiled 1 212 to 746 computations (38.4% saved)
ival-tan: 20.0ms (35.3% of total)ival-sin: 18.0ms (31.8% of total)ival-mult: 5.0ms (8.8% of total)ival-div: 4.0ms (7.1% of total)ival-pow: 4.0ms (7.1% of total)ival-add: 3.0ms (5.3% of total)ival-neg: 2.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 100.0ms | 2.5296480579836847e+87 | 1.1801715244379245e+109 |
| 19.0ms | -8721137368206096000.0 | -7420560259995453000.0 |
| 99.0ms | 224× | 0 | valid |
| 2.0ms | 6× | 0 | invalid |
Compiled 1 590 to 1 036 computations (34.8% saved)
ival-pow: 29.0ms (32.8% of total)ival-sin: 20.0ms (22.6% of total)ival-mult: 11.0ms (12.4% of total)ival-tan: 10.0ms (11.3% of total)ival-div: 8.0ms (9% of total)ival-add: 6.0ms (6.8% of total)ival-neg: 4.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 2.5296480579836847e+87 | 1.1801715244379245e+109 |
| 1.0ms | -8721137368206096000.0 | -7420560259995453000.0 |
Compiled 1 562 to 1 022 computations (34.6% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.766455406021438e-5 | 31391354831.109848 |
| 88.0ms | -9.754845862793098e+123 | -4.406442380086631e+120 |
| 77.0ms | 128× | 0 | valid |
| 0.0ms | 1× | 0 | invalid |
Compiled 1 170 to 788 computations (32.6% saved)
ival-mult: 44.0ms (62.2% of total)ival-tan: 6.0ms (8.5% of total)ival-div: 5.0ms (7.1% of total)ival-sin: 5.0ms (7.1% of total)ival-pow: 5.0ms (7.1% of total)ival-add: 3.0ms (4.2% of total)ival-neg: 2.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 106.0ms | 7.92525385176e+25 | 2.311592731513624e+28 |
| 34.0ms | -9.187899773721531e+30 | -3.220416027554447e+30 |
| 118.0ms | 208× | 0 | valid |
| 5.0ms | 19× | 0 | invalid |
Compiled 1 423 to 921 computations (35.3% saved)
ival-mult: 65.0ms (58.6% of total)ival-tan: 10.0ms (9% of total)ival-div: 9.0ms (8.1% of total)ival-sin: 9.0ms (8.1% of total)ival-pow: 8.0ms (7.2% of total)ival-add: 6.0ms (5.4% of total)ival-neg: 4.0ms (3.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 51.0ms | 31391354831.109848 | 555548140597668.2 |
| 88.0ms | 2.4257299023359524e-166 | 3.7171730465066465e-162 |
| 36.0ms | -8.535925767515323e-185 | -2.1595923934772337e-185 |
| 75.0ms | -3.220416027554447e+30 | -8721137368206096000.0 |
| 193.0ms | 480× | 0 | valid |
| 11.0ms | 38× | 0 | invalid |
Compiled 3 459 to 2 219 computations (35.8% saved)
ival-add: 47.0ms (26.8% of total)ival-sin: 30.0ms (17.1% of total)ival-mult: 25.0ms (14.3% of total)ival-tan: 22.0ms (12.5% of total)ival-div: 20.0ms (11.4% of total)ival-pow: 17.0ms (9.7% of total)ival-neg: 13.0ms (7.4% of total)ival-true: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 31391354831.109848 | 555548140597668.2 |
| 1.0ms | 2.4257299023359524e-166 | 3.7171730465066465e-162 |
| 1.0ms | -8.535925767515323e-185 | -2.1595923934772337e-185 |
| 3.0ms | -3.220416027554447e+30 | -8721137368206096000.0 |
Compiled 3 489 to 2 234 computations (36% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 2.4257299023359524e-166 | 3.7171730465066465e-162 |
| 49.0ms | -8.007488767998229e-151 | -1.6226232856507427e-170 |
| 54.0ms | 288× | 0 | valid |
| 5.0ms | 32× | 0 | invalid |
Compiled 2 049 to 1 314 computations (35.9% saved)
ival-mult: 11.0ms (22.6% of total)ival-div: 8.0ms (16.4% of total)ival-tan: 8.0ms (16.4% of total)ival-sin: 7.0ms (14.4% of total)ival-pow: 6.0ms (12.3% of total)ival-add: 5.0ms (10.3% of total)ival-neg: 3.0ms (6.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.4257299023359524e-166 | 3.7171730465066465e-162 |
| 22.0ms | -8.007488767998229e-151 | -1.6226232856507427e-170 |
| 17.0ms | 64× | 0 | valid |
| 1.0ms | 7× | 0 | invalid |
Compiled 1 873 to 1 204 computations (35.7% saved)
ival-neg: 7.0ms (43.5% of total)ival-mult: 2.0ms (12.4% of total)ival-sin: 2.0ms (12.4% of total)ival-tan: 2.0ms (12.4% of total)ival-div: 1.0ms (6.2% of total)ival-add: 1.0ms (6.2% of total)ival-pow: 1.0ms (6.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | -8.007488767998229e-151 | -1.6226232856507427e-170 |
Compiled 1 097 to 708 computations (35.5% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 315 | 3471 |
| 1 | 420 | 3321 |
| 2 | 622 | 3321 |
| 3 | 1190 | 3321 |
| 4 | 2533 | 3321 |
| 5 | 4140 | 3321 |
| 6 | 5275 | 3321 |
| 7 | 7261 | 3321 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 F #s(literal -145000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) (if (<=.f64 F #s(literal 499999999999999969854583185801589293056 binary64)) (fma.f64 F (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))))) |
(if (<=.f64 F #s(literal -215000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) (if (<=.f64 F #s(literal 499999999999999969854583185801589293056 binary64)) (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))))) |
(if (<=.f64 F #s(literal -100000000000000009190283508143378238084034459715684532224 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) (if (<=.f64 F #s(literal 5000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))))) |
(if (<=.f64 F #s(literal -7 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) (if (<=.f64 F #s(literal 3152519739159347/2251799813685248 binary64)) (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))))) |
(if (<=.f64 F #s(literal -2582544170319337/36893488147419103232 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) (if (<=.f64 F #s(literal 6186146202378771/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 35000 binary64)) (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B)))))) |
(if (<=.f64 F #s(literal -2582544170319337/36893488147419103232 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) (if (<=.f64 F #s(literal 6186146202378771/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808 binary64)) (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) (+.f64 (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))))) |
(if (<=.f64 F #s(literal -2400000000000000056566482034008613999798878708136516471511790094243876004318788158235942467821878824629553856512 binary64)) (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal -1/6 binary64) F) B)))) (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal -7093945949125123/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) (if (<=.f64 F #s(literal 6186146202378771/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808 binary64)) (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) (+.f64 (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))))))) |
(if (<=.f64 F #s(literal -78000000000000003801121815639700357195828182737495411928219227806209552696821954791942961187046511611577830947643309064368104816387293184 binary64)) (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal -1/6 binary64) F) B)))) (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 2887617409042293/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 5800000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) (+.f64 (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))))) |
(if (<=.f64 F #s(literal -1950000000000000159584292343165223671293683868512682156448125515885826638187032783314764580097192656030579605694528512506781919728369664 binary64)) (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) #s(approx (* (sin B) F) (*.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal -1/6 binary64) F) B)))) (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 2887617409042293/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 F F)) #s(literal 2 binary64)))) F)) B))) (if (<=.f64 F #s(literal 5800000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) (+.f64 (/.f64 (neg.f64 x) #s(approx (tan B) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))))) |
(if (<=.f64 x #s(literal -7822218149124427/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) (if (<=.f64 x #s(literal 4456584141427369/618970019642690137449562112 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))))) |
(if (<=.f64 B #s(literal 1261007895663739/9007199254740992 binary64)) (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(if (<=.f64 F #s(literal -899999999999999956983218176 binary64)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) (if (<=.f64 F #s(literal 820 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))))) |
(if (<=.f64 F #s(literal -5000000000000000000 binary64)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) (if (<=.f64 F #s(literal 20500000000000000056798069475560676837012558648363367074968265688276043180461617687266988700071503457221685099122656473513984 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)))) |
(if (<=.f64 F #s(literal -7600000000000000000 binary64)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) (if (<=.f64 F #s(literal 53999999999999999693154784591598131977471222151193175519375065380554616618632611885050166800501702656 binary64)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)))) |
(if (<=.f64 F #s(literal -7600000000000000000 binary64)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) (if (<=.f64 F #s(literal 53999999999999999693154784591598131977471222151193175519375065380554616618632611885050166800501702656 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)))) |
(if (<=.f64 F #s(literal -10200000000000000541422427340194093326538603940727742644407834260365243843916145800490786965043485508254745727637833908224 binary64)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) (if (<=.f64 F #s(literal 5000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)))) |
(if (<=.f64 F #s(literal -3300000000000000262651745665024 binary64)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) (if (<=.f64 F #s(literal 80000000000000007247757312 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)))) |
(if (<=.f64 F #s(literal -8800000000000000000 binary64)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) (if (<=.f64 F #s(literal -3061802069160839/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) (if (<=.f64 F #s(literal 6224273353321489/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) (if (<=.f64 F #s(literal 32000000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)))))) |
(if (<=.f64 F #s(literal -8800000000000000000 binary64)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) (if (<=.f64 F #s(literal -3061802069160839/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) (if (<=.f64 F #s(literal 6224273353321489/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) (if (<=.f64 F #s(literal 32000000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)))))) |
(if (<=.f64 F #s(literal -2948408144391829/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) (if (<=.f64 F #s(literal 1823517583980905/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)))) |
(if (<=.f64 F #s(literal -8034412193467735/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) (if (<=.f64 F #s(literal 1823517583980905/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)))) |
(if (<=.f64 F #s(literal -8034412193467735/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
| Outputs |
|---|
(if (<=.f64 F #s(literal -145000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) (if (<=.f64 F #s(literal 499999999999999969854583185801589293056 binary64)) (fma.f64 F (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))))) |
(if (<=.f64 F #s(literal -145000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) (if (<=.f64 F #s(literal 499999999999999969854583185801589293056 binary64)) (fma.f64 F (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))))) |
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(if (<=.f64 F #s(literal -8800000000000000000 binary64)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) (if (<=.f64 F #s(literal -3061802069160839/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64))) F)) B)) (if (<=.f64 F #s(literal 6224273353321489/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) (if (<=.f64 F #s(literal 32000000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 F B)))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)))))) |
(if (<=.f64 F #s(literal -8800000000000000000 binary64)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) (if (<=.f64 F #s(literal -3061802069160839/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) (if (<=.f64 F #s(literal 6224273353321489/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) (if (<=.f64 F #s(literal 32000000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)))))) |
(if (<=.f64 F #s(literal -8800000000000000000 binary64)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) (if (<=.f64 F #s(literal -3061802069160839/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 F B)))) (if (<=.f64 F #s(literal 6224273353321489/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) (if (<=.f64 F #s(literal 32000000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 F B)))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)))))) |
(if (<=.f64 F #s(literal -2948408144391829/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) (if (<=.f64 F #s(literal 1823517583980905/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)))) |
(if (<=.f64 F #s(literal -8034412193467735/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) (if (<=.f64 F #s(literal 1823517583980905/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)))) |
(if (<=.f64 F #s(literal -8034412193467735/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 429 |
| 0 | 93 | 418 |
| 1 | 362 | 392 |
| 2 | 2667 | 392 |
| 0 | 9048 | 392 |
| 0 | 20 | 71 |
| 0 | 37 | 71 |
| 1 | 132 | 66 |
| 2 | 874 | 66 |
| 0 | 8190 | 58 |
| 0 | 1226 | 11529 |
| 1 | 4380 | 11393 |
| 0 | 8074 | 10391 |
| 0 | 496 | 3495 |
| 1 | 1683 | 3280 |
| 2 | 7664 | 3173 |
| 0 | 8158 | 2879 |
| 0 | 1305 | 11934 |
| 1 | 4628 | 11800 |
| 0 | 8555 | 10743 |
| 0 | 75 | 555 |
| 0 | 107 | 542 |
| 1 | 393 | 511 |
| 2 | 2818 | 511 |
| 0 | 8127 | 487 |
| 0 | 1245 | 11645 |
| 1 | 4479 | 11506 |
| 0 | 8217 | 10502 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 6 626 to 2 520 computations (62% saved)
(negabs B)
Compiled 7 548 to 774 computations (89.7% saved)
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