
Time bar (total: 4.5s)
| 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)
| 1.5s | 8 256× | 0 | valid |
| 42.0ms | 309× | 0 | invalid |
ival-mult: 262.0ms (20.9% of total)ival-tan: 208.0ms (16.6% of total)ival-sin: 205.0ms (16.3% of total)ival-pow: 180.0ms (14.3% of total)ival-div: 176.0ms (14% of total)ival-add: 138.0ms (11% of total)ival-neg: 68.0ms (5.4% of total)exact: 9.0ms (0.7% of total)ival-true: 6.0ms (0.5% of total)ival-assert: 3.0ms (0.2% of total)| 2× | egg-herbie |
| 924× | times-frac |
| 816× | accelerator-lowering-fma.f32 |
| 816× | accelerator-lowering-fma.f64 |
| 748× | unsub-neg |
| 566× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 250 |
| 1 | 215 | 214 |
| 2 | 549 | 212 |
| 3 | 1199 | 212 |
| 4 | 2808 | 212 |
| 5 | 4503 | 212 |
| 6 | 5066 | 212 |
| 7 | 5362 | 212 |
| 8 | 5474 | 212 |
| 9 | 5482 | 212 |
| 10 | 5488 | 212 |
| 11 | 5816 | 212 |
| 12 | 5952 | 212 |
| 13 | 5952 | 212 |
| 14 | 5952 | 212 |
| 15 | 5952 | 212 |
| 0 | 22 | 24 |
| 1 | 43 | 21 |
| 2 | 83 | 21 |
| 3 | 135 | 21 |
| 4 | 195 | 21 |
| 5 | 299 | 21 |
| 6 | 450 | 21 |
| 7 | 892 | 21 |
| 8 | 1143 | 21 |
| 9 | 1242 | 21 |
| 10 | 1412 | 21 |
| 11 | 1531 | 21 |
| 12 | 1551 | 21 |
| 0 | 1551 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) |
| Outputs |
|---|
(+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) |
(fma.f64 F (/.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)) (/.f64 x (-.f64 #s(literal 0 binary64) (tan.f64 B)))) |
| Inputs |
|---|
(+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) |
(+ (neg (* x (/ 1 (tan B)))) (* (/ (neg F) (sin B)) (pow (+ (+ (* (neg F) (neg F)) 2) (* 2 x)) (neg (/ 1 2))))) |
(+ (neg (* x (/ 1 (tan (neg B))))) (* (/ F (sin (neg B))) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) |
(+ (neg (* (neg x) (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 (neg x))) (neg (/ 1 2))))) |
(neg (+ (neg (* x (/ 1 (tan B)))) (* (/ (neg F) (sin B)) (pow (+ (+ (* (neg F) (neg F)) 2) (* 2 x)) (neg (/ 1 2)))))) |
(neg (+ (neg (* x (/ 1 (tan (neg B))))) (* (/ F (sin (neg B))) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))))) |
(neg (+ (neg (* (neg x) (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 (neg x))) (neg (/ 1 2)))))) |
(+ (neg (* x (/ 1 (tan F)))) (* (/ B (sin F)) (pow (+ (+ (* B B) 2) (* 2 x)) (neg (/ 1 2))))) |
(+ (neg (* F (/ 1 (tan B)))) (* (/ x (sin B)) (pow (+ (+ (* x x) 2) (* 2 F)) (neg (/ 1 2))))) |
(+ (neg (* B (/ 1 (tan x)))) (* (/ F (sin x)) (pow (+ (+ (* F F) 2) (* 2 B)) (neg (/ 1 2))))) |
| Outputs |
|---|
(+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) |
(- (* (/ F (sin B)) (pow (+ (* F F) (+ 2 (* x 2))) -1/2)) (/ x (tan B))) |
(+ (neg (* x (/ 1 (tan B)))) (* (/ (neg F) (sin B)) (pow (+ (+ (* (neg F) (neg F)) 2) (* 2 x)) (neg (/ 1 2))))) |
(- (* (pow (+ (* F F) (+ 2 (* x 2))) -1/2) (/ (neg F) (sin B))) (/ x (tan B))) |
(+ (neg (* x (/ 1 (tan (neg B))))) (* (/ F (sin (neg B))) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) |
(- (/ x (tan B)) (* (/ F (sin B)) (pow (+ (* F F) (+ 2 (* x 2))) -1/2))) |
(+ (neg (* (neg x) (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 (neg x))) (neg (/ 1 2))))) |
(+ (/ x (tan B)) (* (/ F (sin B)) (pow (+ (+ 2 (* F F)) (* x -2)) -1/2))) |
(neg (+ (neg (* x (/ 1 (tan B)))) (* (/ (neg F) (sin B)) (pow (+ (+ (* (neg F) (neg F)) 2) (* 2 x)) (neg (/ 1 2)))))) |
(+ (/ x (tan B)) (* (/ F (sin B)) (pow (+ (* F F) (+ 2 (* x 2))) -1/2))) |
(neg (+ (neg (* x (/ 1 (tan (neg B))))) (* (/ F (sin (neg B))) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))))) |
(- (* (/ F (sin B)) (pow (+ (* F F) (+ 2 (* x 2))) -1/2)) (/ x (tan B))) |
(neg (+ (neg (* (neg x) (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 (neg x))) (neg (/ 1 2)))))) |
(- (* (/ (neg F) (sin B)) (pow (+ (+ 2 (* F F)) (* x -2)) -1/2)) (/ x (tan B))) |
(+ (neg (* x (/ 1 (tan F)))) (* (/ B (sin F)) (pow (+ (+ (* B B) 2) (* 2 x)) (neg (/ 1 2))))) |
(- (* (/ B (sin F)) (pow (+ (* B B) (+ 2 (* x 2))) -1/2)) (/ x (tan F))) |
(+ (neg (* F (/ 1 (tan B)))) (* (/ x (sin B)) (pow (+ (+ (* x x) 2) (* 2 F)) (neg (/ 1 2))))) |
(- (* x (/ (pow (+ (* x x) (+ 2 (* F 2))) -1/2) (sin B))) (/ F (tan B))) |
(+ (neg (* B (/ 1 (tan x)))) (* (/ F (sin x)) (pow (+ (+ (* F F) 2) (* 2 B)) (neg (/ 1 2))))) |
(- (* F (/ (pow (+ (+ 2 (* F F)) (* B 2)) -1/2) (sin x))) (/ B (tan x))) |
(negabs B)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 70 | 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)))) |
| 32 | 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 | 70 | 0 |
| ↳ | (*.f64 F F) | overflow | 70 | |
| ↳ | (+.f64 (*.f64 F F) #s(literal 2 binary64)) | overflow | 70 | |
| ↳ | (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) | overflow | 70 | |
*.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 | 32 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 45 | 0 |
| - | 35 | 176 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 45 | 0 | 0 |
| - | 35 | 0 | 176 |
| number | freq |
|---|---|
| 0 | 176 |
| 1 | 58 |
| 2 | 22 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 161.0ms | 512× | 0 | valid |
Compiled 298 to 84 computations (71.8% saved)
ival-mult: 12.0ms (16.8% of total)ival-sin: 12.0ms (16.8% of total)ival-tan: 12.0ms (16.8% of total)ival-div: 11.0ms (15.4% of total)ival-pow: 10.0ms (14% of total)ival-add: 8.0ms (11.2% of total)ival-neg: 4.0ms (5.6% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 82.5% | (+.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 30 to 20 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 192 | (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) |
| ✓ | cost-diff | 192 | (+.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 | 320 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 816× | accelerator-lowering-fma.f32 |
| 816× | accelerator-lowering-fma.f64 |
| 472× | *-lowering-*.f32 |
| 472× | *-lowering-*.f64 |
| 224× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 103 |
| 1 | 43 | 96 |
| 2 | 83 | 96 |
| 3 | 135 | 96 |
| 4 | 195 | 96 |
| 5 | 299 | 96 |
| 6 | 450 | 96 |
| 7 | 892 | 96 |
| 8 | 1143 | 96 |
| 9 | 1242 | 96 |
| 10 | 1412 | 96 |
| 11 | 1531 | 96 |
| 12 | 1551 | 96 |
| 0 | 1551 | 87 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) |
(neg (* x (/ 1 (tan B)))) |
(* x (/ 1 (tan B))) |
x |
(/ 1 (tan B)) |
1 |
(tan B) |
B |
(* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) |
(/ F (sin B)) |
F |
(sin B) |
(pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) |
(+ (+ (* F F) 2) (* 2 x)) |
(+ (* F F) 2) |
(* F F) |
2 |
(* 2 x) |
(neg (/ 1 2)) |
(/ 1 2) |
| Outputs |
|---|
(+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) |
(fma.f64 F (/.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)) (/.f64 x (-.f64 #s(literal 0 binary64) (tan.f64 B)))) |
(neg (* x (/ 1 (tan B)))) |
(/.f64 x (-.f64 #s(literal 0 binary64) (tan.f64 B))) |
(* x (/ 1 (tan B))) |
(/.f64 x (tan.f64 B)) |
x |
(/ 1 (tan B)) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
1 |
#s(literal 1 binary64) |
(tan B) |
(tan.f64 B) |
B |
(* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) |
(fma.f64 F (/.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)) #s(literal 0 binary64)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
F |
(sin B) |
(sin.f64 B) |
(pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) |
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(+ (+ (* F F) 2) (* 2 x)) |
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(+ (* F F) 2) |
(fma.f64 F F #s(literal 2 binary64)) |
(* F F) |
(fma.f64 F F #s(literal 0 binary64)) |
2 |
#s(literal 2 binary64) |
(* 2 x) |
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) |
(neg (/ 1 2)) |
#s(literal -1/2 binary64) |
(/ 1 2) |
#s(literal 1/2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (/.f64 F (sin.f64 B)) |
| ✓ | accuracy | 99.6% | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| ✓ | accuracy | 87.8% | (*.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 | 74.3% | (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)))) |
| 45.0ms | 256× | 0 | valid |
Compiled 119 to 22 computations (81.5% saved)
ival-mult: 6.0ms (18.1% of total)ival-tan: 6.0ms (18.1% of total)ival-div: 5.0ms (15.1% of total)ival-sin: 5.0ms (15.1% of total)ival-pow: 5.0ms (15.1% of total)ival-add: 3.0ms (9% of total)ival-neg: 2.0ms (6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 2)> |
#<alt (* x (/ 1 (tan B)))> |
#<alt (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))))> |
#<alt (+ (+ (* F F) 2) (* 2 x))> |
#<alt (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))> |
#<alt (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))> |
#<alt (/ F (sin B))> |
| Outputs |
|---|
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ x B)> |
#<alt (/ (+ x (* -1/3 (* (pow B 2) x))) B)> |
#<alt (/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)> |
#<alt (/ (+ 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)> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))> |
#<alt (+ (* 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))))))> |
#<alt (+ (* 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))))))> |
#<alt (+ (* 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))))))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B))))> |
#<alt (* 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))))> |
#<alt (* 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))))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))> |
#<alt (* -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)))))> |
#<alt (* -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)))))> |
#<alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)> |
#<alt (/ (- (+ (* 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)> |
#<alt (/ (- (+ (* 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)> |
#<alt (/ (- (+ (* 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)> |
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (* 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)))> |
#<alt (- (* 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)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (+ (* -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)))> |
#<alt (- (+ (* -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)))> |
#<alt (* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))> |
#<alt (- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))> |
#<alt (- (+ (* 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))))> |
#<alt (- (+ (* 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))))> |
#<alt (+ 2 (* 2 x))> |
#<alt (+ 2 (+ (* 2 x) (pow F 2)))> |
#<alt (+ 2 (+ (* 2 x) (pow F 2)))> |
#<alt (+ 2 (+ (* 2 x) (pow F 2)))> |
#<alt (pow F 2)> |
#<alt (* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))> |
#<alt (* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))> |
#<alt (* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))> |
#<alt (pow F 2)> |
#<alt (* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))> |
#<alt (* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))> |
#<alt (* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))> |
#<alt (+ 2 (pow F 2))> |
#<alt (+ 2 (+ (* 2 x) (pow F 2)))> |
#<alt (+ 2 (+ (* 2 x) (pow F 2)))> |
#<alt (+ 2 (+ (* 2 x) (pow F 2)))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x))))> |
#<alt (* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x))))> |
#<alt (* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x))))> |
#<alt (* 2 x)> |
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2)))> |
#<alt (sqrt (/ 1 (+ 2 (* 2 x))))> |
#<alt (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))> |
#<alt (+ (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))))))))> |
#<alt (+ (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)))))))))> |
#<alt (/ 1 F)> |
#<alt (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)> |
#<alt (/ (+ 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)> |
#<alt (/ (+ 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)> |
#<alt (/ -1 F)> |
#<alt (* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F))> |
#<alt (* -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))> |
#<alt (* -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))> |
#<alt (sqrt (/ 1 (+ 2 (pow F 2))))> |
#<alt (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))> |
#<alt (+ (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))))))))> |
#<alt (+ (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)))))))))> |
#<alt (* (sqrt (/ 1 x)) (sqrt 1/2))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))> |
#<alt (+ (* -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))))> |
#<alt (+ (* -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)))))> |
#<alt (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))> |
#<alt (+ (* -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)))))> |
#<alt (+ (* -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)))))> |
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))> |
#<alt (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))> |
#<alt (* 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)))))))))> |
#<alt (* 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)))))))))))> |
#<alt (/ 1 (sin B))> |
#<alt (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))> |
#<alt (+ (* -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))))> |
#<alt (+ (* -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)))))> |
#<alt (/ -1 (sin B))> |
#<alt (- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))> |
#<alt (- (+ (* 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)))> |
#<alt (- (+ (* 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)))> |
#<alt (* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))> |
#<alt (/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)> |
#<alt (/ (+ (* 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)> |
#<alt (/ (+ (* 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)> |
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))> |
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))> |
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))> |
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))> |
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))> |
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))> |
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))> |
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))> |
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))> |
#<alt (+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))> |
#<alt (+ (* 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))))))> |
#<alt (+ (* 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))))))> |
#<alt (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))> |
#<alt (+ (* -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))))> |
#<alt (+ (* -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)))))> |
#<alt (+ (* -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))))))> |
#<alt (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))> |
#<alt (+ (* -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))))> |
#<alt (+ (* -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)))))> |
#<alt (+ (* -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)))))> |
#<alt (/ F (sin B))> |
#<alt (/ F (sin B))> |
#<alt (/ F (sin B))> |
#<alt (/ F (sin B))> |
#<alt (/ F (sin B))> |
#<alt (/ F (sin B))> |
#<alt (/ F (sin B))> |
#<alt (/ F (sin B))> |
#<alt (/ F (sin B))> |
#<alt (/ F (sin B))> |
#<alt (/ F (sin B))> |
#<alt (/ F (sin B))> |
#<alt (/ F B)> |
#<alt (/ (+ F (* 1/6 (* (pow B 2) F))) B)> |
#<alt (/ (+ F (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 F) (* 1/120 F)))) (* -1/6 F)))) B)> |
#<alt (/ (+ F (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1/6 F)))) B)> |
#<alt (/ F (sin B))> |
#<alt (/ F (sin B))> |
#<alt (/ F (sin B))> |
#<alt (/ F (sin B))> |
#<alt (/ F (sin B))> |
#<alt (/ F (sin B))> |
#<alt (/ F (sin B))> |
#<alt (/ F (sin B))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) |
| 3.0ms | B | @ | 0 | (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) |
| 3.0ms | B | @ | -inf | (* x (/ 1 (tan B))) |
| 2.0ms | x | @ | 0 | (* x (/ 1 (tan B))) |
| 2.0ms | B | @ | inf | (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) |
| 1× | batch-egg-rewrite |
| 9 162× | accelerator-lowering-fma.f32 |
| 9 162× | accelerator-lowering-fma.f64 |
| 5 634× | *-lowering-*.f32 |
| 5 634× | *-lowering-*.f64 |
| 2 936× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 67 |
| 1 | 107 | 66 |
| 2 | 774 | 66 |
| 0 | 8272 | 58 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 2) |
(* x (/ 1 (tan B))) |
(+ (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)))) |
(/ F (sin B)) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
(+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B))) (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64))) |
(/.f64 x (tan.f64 B)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 B) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (*.f64 x (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) x)) (/.f64 x (tan.f64 B))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (tan.f64 B))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) x) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (tan.f64 B)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (tan.f64 B))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) x)) #s(literal 0 binary64)))) |
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(*.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (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)) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 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 (*.f64 F (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 #s(literal 1 binary64) (sin.f64 B)))) |
(*.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 (/.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)) F) |
(*.f64 (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) F))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (sin.f64 B)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) F))) |
(*.f64 (/.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 -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) F) (sin.f64 B))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) F) #s(literal -1 binary64)) (/.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 (*.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (*.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 -1/8 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 B) F)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) F) (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 B))) (/.f64 (-.f64 #s(literal 0 binary64) F) (sin.f64 B))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) F) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) F)) |
(/.f64 F (sin.f64 B)) |
(/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 B) (-.f64 #s(literal 0 binary64) F))) |
(/.f64 (-.f64 #s(literal 0 binary64) F) (-.f64 #s(literal 0 binary64) (sin.f64 B))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) F)) (-.f64 #s(literal 0 binary64) (sin.f64 B))) |
(/.f64 (*.f64 F #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 B))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) F) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 B))) |
(pow.f64 (/.f64 (sin.f64 B) F) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 F (sin.f64 B))) |
(*.f64 F (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) F) (sin.f64 B))) |
(*.f64 (-.f64 #s(literal 0 binary64) F) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) F) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
| 1× | egg-herbie |
| 12 594× | accelerator-lowering-fma.f32 |
| 12 594× | accelerator-lowering-fma.f64 |
| 6 538× | *-lowering-*.f32 |
| 6 538× | *-lowering-*.f64 |
| 4 176× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 494 | 4266 |
| 1 | 1494 | 4066 |
| 2 | 5465 | 3979 |
| 0 | 8021 | 3639 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (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) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (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)))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* 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)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -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))))) |
(/ (- (* 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 (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)))))) (/ (* 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)))))) (/ (* 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)))))) (/ (* 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)))))) (/ (* x (cos B)) (sin B))) |
(* -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))) |
(- (/ 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 (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)))) |
(+ 2 (* 2 x)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(pow F 2) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(pow F 2) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(+ 2 (pow F 2)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(* 2 x) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(* 2 x) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 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))))))))) |
(/ 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 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)) |
(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))))))))) |
(* (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))))) |
(* (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 (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)) |
(+ (* -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 (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 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) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 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)))))) |
(* (/ (* 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)))))) |
(* (/ (* 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))))) |
(/ F (sin B)) |
(/ F (sin B)) |
(/ F (sin B)) |
(/ F (sin B)) |
(/ F (sin B)) |
(/ F (sin B)) |
(/ F (sin B)) |
(/ F (sin B)) |
(/ F (sin B)) |
(/ F (sin B)) |
(/ F (sin B)) |
(/ F (sin B)) |
(/ F B) |
(/ (+ F (* 1/6 (* (pow B 2) F))) B) |
(/ (+ F (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 F) (* 1/120 F)))) (* -1/6 F)))) B) |
(/ (+ F (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1/6 F)))) B) |
(/ F (sin B)) |
(/ F (sin B)) |
(/ F (sin B)) |
(/ F (sin B)) |
(/ F (sin B)) |
(/ F (sin B)) |
(/ F (sin B)) |
(/ F (sin B)) |
| Outputs |
|---|
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ x B) |
(/.f64 x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) x) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/.f64 (fma.f64 (*.f64 B B) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) 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) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (neg.f64 (*.f64 B (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 x #s(literal 1/45 binary64))))) (*.f64 x #s(literal -1/3 binary64))) x) B) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(+ (* 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)))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(+ (* 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)))))) |
(fma.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x F)) (sin.f64 B))) (fma.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(+ (* 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)))))) |
(fma.f64 x (-.f64 (*.f64 x (fma.f64 (/.f64 F (sin.f64 B)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 x F) (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 7 binary64)))) #s(literal -5/2 binary64))))) (fma.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(*.f64 x (-.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 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)))) |
(*.f64 x (-.f64 (fma.f64 (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 F (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 (cos.f64 B) (sin.f64 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)))) |
(*.f64 x (-.f64 (fma.f64 (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 F (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) F)) (-.f64 #s(literal 0 binary64) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) (-.f64 #s(literal 0 binary64) x)) |
(* -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 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 F (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 #s(literal -1/8 binary64) F) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))))))) x)) (-.f64 #s(literal 0 binary64) x)) |
(* -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 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 F (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 F (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 #s(literal -1/8 binary64) F) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64))))))))) x)) (-.f64 #s(literal 0 binary64) x)) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (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 0 binary64) 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) |
(/.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))))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) (-.f64 #s(literal 0 binary64) 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) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (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 0 binary64) (*.f64 F (fma.f64 #s(literal -7/360 binary64) (*.f64 B B) #s(literal -1/6 binary64)))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (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 0 binary64) 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) |
(/.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))))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B 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))))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B (*.f64 F #s(literal -7/360 binary64)))) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x #s(literal -1/9 binary64))) (*.f64 x #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) x))) B) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 F (sin.f64 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 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 F (sin.f64 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 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
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(* (sqrt (/ 1 x)) (sqrt 1/2)) |
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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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(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
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(+ (* -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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(/ -1 (sin B)) |
(/.f64 #s(literal -1 binary64) (sin.f64 B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
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(- (+ (* 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))) |
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(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(*.f64 F (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))))))) |
(+ (* 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 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x F)) (sin.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(+ (* 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 x (fma.f64 x (fma.f64 (/.f64 F (sin.f64 B)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 x F) (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 7 binary64)))) #s(literal -5/2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))))))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(*.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 F (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 F (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64))))))) |
(+ (* -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 (fma.f64 x (*.f64 (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 F (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) F)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B))) |
(+ (* -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 F (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 #s(literal -1/8 binary64) F) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))))))) |
(+ (* -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 F (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 F (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 #s(literal -1/8 binary64) F) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64))))))))) |
(+ (* -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))))) |
(-.f64 (fma.f64 F (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 #s(literal -1/8 binary64) F) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 F (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) #s(literal 1/16 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1/64 binary64)) #s(literal -1/2 binary64))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 F (sqrt.f64 x))) #s(literal -1/16 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x x)))) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
(/ F B) |
(/.f64 F B) |
(/ (+ F (* 1/6 (* (pow B 2) F))) B) |
(/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) B) |
(/ (+ F (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 F) (* 1/120 F)))) (* -1/6 F)))) B) |
(/.f64 (fma.f64 B (neg.f64 (*.f64 B (*.f64 F (fma.f64 #s(literal -7/360 binary64) (*.f64 B B) #s(literal -1/6 binary64))))) F) B) |
(/ (+ F (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1/6 F)))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (neg.f64 (*.f64 B (fma.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B (*.f64 F #s(literal -7/360 binary64))))) (*.f64 F #s(literal 1/6 binary64))) F) B) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
Compiled 20 126 to 1 823 computations (90.9% saved)
30 alts after pruning (30 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 497 | 30 | 527 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 498 | 30 | 528 |
| Status | Accuracy | Program |
|---|---|---|
| 91.5% | (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)) (sin.f64 B)) F (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))) | |
| ▶ | 91.5% | (fma.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) F)) (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))) |
| 82.4% | (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (-.f64 #s(literal 0 binary64) x)) (fma.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)) #s(literal 0 binary64))) | |
| 91.5% | (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))) | |
| 82.5% | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (fma.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)) #s(literal 0 binary64))) | |
| 54.7% | (fma.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) x) (-.f64 #s(literal 0 binary64) x)) (/.f64 (tan.f64 B) x) (fma.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)) #s(literal 0 binary64))) | |
| ▶ | 82.5% | (fma.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B) (fma.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)) #s(literal 0 binary64))) |
| 40.0% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (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 0 binary64) (*.f64 F (fma.f64 #s(literal -7/360 binary64) (*.f64 B B) #s(literal -1/6 binary64)))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (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 0 binary64) x))) B) | |
| 40.2% | (/.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))))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) (-.f64 #s(literal 0 binary64) x))) B) | |
| ▶ | 40.9% | (/.f64 (fma.f64 F (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 0 binary64) x)) B) |
| 71.7% | (/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (tan.f64 B)) (*.f64 (/.f64 (sin.f64 B) F) x)) (*.f64 (/.f64 (sin.f64 B) F) (tan.f64 B))) | |
| 80.3% | (/.f64 (-.f64 (*.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (tan.f64 B)) (*.f64 (sin.f64 B) x)) (*.f64 (sin.f64 B) (tan.f64 B))) | |
| 68.1% | (/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B))) | |
| 82.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))))) | |
| 39.5% | (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 F (*.f64 F (sin.f64 B)))) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| 53.9% | (+.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) x)) (/.f64 x (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)))))) | |
| 82.5% | (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) (*.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)))))) | |
| 83.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (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 (sin.f64 B) F))) | |
| 51.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) B)) | |
| ▶ | 91.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 F (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))) |
| 91.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) | |
| 61.7% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| ▶ | 55.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
| 82.5% | (+.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)))) | |
| 75.3% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 F (/.f64 F x) #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) | |
| 82.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) | |
| 56.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) | |
| 68.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B))) | |
| 24.1% | (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) | |
| 41.2% | (*.f64 x (-.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B)))) |
Compiled 1 602 to 1 020 computations (36.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 B) |
| ✓ | cost-diff | 0 | (sin.f64 B) |
| ✓ | cost-diff | 0 | (/.f64 x (sin.f64 B)) |
| ✓ | cost-diff | 7104 | (fma.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B) (fma.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)) #s(literal 0 binary64))) |
| ✓ | cost-diff | 0 | (tan.f64 B) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) |
| ✓ | cost-diff | 192 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 F (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 | 320 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| ✓ | cost-diff | 0 | (tan.f64 B) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) |
| ✓ | cost-diff | 192 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
| ✓ | cost-diff | 320 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (fma.f64 F (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 0 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 F (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 0 binary64) x)) B) |
| ✓ | cost-diff | 0 | (sin.f64 B) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | cost-diff | 384 | (fma.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) F)) (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))) |
| ✓ | cost-diff | 1024 | (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) F)) |
| 1 848× | accelerator-lowering-fma.f32 |
| 1 848× | accelerator-lowering-fma.f64 |
| 1 120× | *-lowering-*.f32 |
| 1 120× | *-lowering-*.f64 |
| 560× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 405 |
| 1 | 103 | 385 |
| 2 | 216 | 385 |
| 3 | 441 | 385 |
| 4 | 793 | 384 |
| 5 | 1460 | 382 |
| 6 | 2244 | 382 |
| 7 | 3314 | 382 |
| 8 | 3687 | 382 |
| 9 | 3994 | 382 |
| 10 | 4395 | 382 |
| 11 | 4431 | 382 |
| 12 | 4438 | 382 |
| 13 | 4457 | 382 |
| 14 | 4466 | 382 |
| 15 | 4467 | 382 |
| 16 | 4467 | 382 |
| 17 | 4467 | 382 |
| 0 | 4467 | 342 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* (/ 1 (sin B)) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ 1 F))) (- 0 (/ x (tan B)))) |
(/ 1 (sin B)) |
1 |
(sin B) |
B |
(/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ 1 F)) |
(pow (+ (* 2 x) (+ (* F F) 2)) -1/2) |
(+ (* 2 x) (+ (* F F) 2)) |
2 |
x |
(+ (* F F) 2) |
F |
-1/2 |
(/ 1 F) |
(- 0 (/ x (tan B))) |
0 |
(/ x (tan B)) |
(tan B) |
(/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (- 0 x)) B) |
(+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (- 0 x)) |
F |
(sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) |
(/ 1 (+ (* x 2) (+ (* F F) 2))) |
1 |
(+ (* x 2) (+ (* F F) 2)) |
x |
2 |
(+ (* F F) 2) |
(- 0 x) |
0 |
B |
(+ (neg (* x (/ 1 (tan B)))) (/ -1 (sin B))) |
(neg (* x (/ 1 (tan B)))) |
(* x (/ 1 (tan B))) |
x |
(/ 1 (tan B)) |
1 |
(tan B) |
B |
(/ -1 (sin B)) |
-1 |
(sin B) |
(+ (neg (* x (/ 1 (tan B)))) (/ (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) (sin B))) |
(neg (* x (/ 1 (tan B)))) |
(* x (/ 1 (tan B))) |
x |
(/ 1 (tan B)) |
1 |
(tan B) |
B |
(/ (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) (sin B)) |
(* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) |
F |
(pow (+ (* 2 x) (+ (* F F) 2)) -1/2) |
(+ (* 2 x) (+ (* F F) 2)) |
2 |
(+ (* F F) 2) |
-1/2 |
(sin B) |
(+ (* (neg (/ x (sin B))) (cos B)) (+ (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) 0)) |
(neg (/ x (sin B))) |
(/ x (sin B)) |
x |
(sin B) |
B |
(cos B) |
(+ (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) 0) |
(/ F (sin B)) |
F |
(pow (+ (* 2 x) (+ (* F F) 2)) -1/2) |
(+ (* 2 x) (+ (* F F) 2)) |
2 |
(+ (* F F) 2) |
-1/2 |
0 |
| Outputs |
|---|
(+ (* (/ 1 (sin B)) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ 1 F))) (- 0 (/ x (tan 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 (-.f64 #s(literal 0 binary64) x) (tan.f64 B))) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
1 |
#s(literal 1 binary64) |
(sin B) |
(sin.f64 B) |
B |
(/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ 1 F)) |
(fma.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(pow (+ (* 2 x) (+ (* F F) 2)) -1/2) |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(+ (* 2 x) (+ (* F F) 2)) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
x |
(+ (* F F) 2) |
(fma.f64 F F #s(literal 2 binary64)) |
F |
-1/2 |
#s(literal -1/2 binary64) |
(/ 1 F) |
(/.f64 #s(literal 1 binary64) F) |
(- 0 (/ x (tan B))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (tan.f64 B)) |
0 |
#s(literal 0 binary64) |
(/ x (tan B)) |
(/.f64 x (tan.f64 B)) |
(tan B) |
(tan.f64 B) |
(/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (- 0 x)) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) x)) B) |
(+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (- 0 x)) |
(fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) x)) |
F |
(sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(/ 1 (+ (* x 2) (+ (* F F) 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ (* x 2) (+ (* F F) 2)) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
x |
2 |
#s(literal 2 binary64) |
(+ (* F F) 2) |
(fma.f64 F F #s(literal 2 binary64)) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
B |
(+ (neg (* x (/ 1 (tan B)))) (/ -1 (sin B))) |
(-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(neg (* x (/ 1 (tan B)))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (tan.f64 B)) |
(* x (/ 1 (tan B))) |
(/.f64 x (tan.f64 B)) |
x |
(/ 1 (tan B)) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
1 |
#s(literal 1 binary64) |
(tan B) |
(tan.f64 B) |
B |
(/ -1 (sin B)) |
(/.f64 #s(literal -1 binary64) (sin.f64 B)) |
-1 |
#s(literal -1 binary64) |
(sin B) |
(sin.f64 B) |
(+ (neg (* x (/ 1 (tan B)))) (/ (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) (sin 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 (-.f64 #s(literal 0 binary64) x) (tan.f64 B))) |
(neg (* x (/ 1 (tan B)))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (tan.f64 B)) |
(* x (/ 1 (tan B))) |
(/.f64 x (tan.f64 B)) |
x |
(/ 1 (tan B)) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
1 |
#s(literal 1 binary64) |
(tan B) |
(tan.f64 B) |
B |
(/ (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) (sin 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)) #s(literal 0 binary64)) |
(* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) |
(fma.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
F |
(pow (+ (* 2 x) (+ (* F F) 2)) -1/2) |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(+ (* 2 x) (+ (* F F) 2)) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ (* F F) 2) |
(fma.f64 F F #s(literal 2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(sin B) |
(sin.f64 B) |
(+ (* (neg (/ x (sin B))) (cos B)) (+ (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) 0)) |
(/.f64 (fma.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) x) (cos.f64 B) #s(literal 0 binary64))) (sin.f64 B)) |
(neg (/ x (sin B))) |
(/.f64 x (-.f64 #s(literal 0 binary64) (sin.f64 B))) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
x |
(sin B) |
(sin.f64 B) |
B |
(cos B) |
(cos.f64 B) |
(+ (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) 0) |
(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)) #s(literal 0 binary64)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
F |
(pow (+ (* 2 x) (+ (* F F) 2)) -1/2) |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(+ (* 2 x) (+ (* F F) 2)) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ (* F F) 2) |
(fma.f64 F F #s(literal 2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
0 |
#s(literal 0 binary64) |
| 87.0ms | 214× | 0 | valid |
Compiled 374 to 48 computations (87.2% saved)
ival-div: 17.0ms (26.2% of total)ival-mult: 10.0ms (15.4% of total)ival-sin: 10.0ms (15.4% of total)ival-add: 8.0ms (12.3% of total)ival-cos: 6.0ms (9.2% of total)ival-tan: 5.0ms (7.7% of total)ival-pow: 4.0ms (6.2% of total)ival-sub: 2.0ms (3.1% of total)ival-neg: 2.0ms (3.1% of total)ival-sqrt: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Loading profile data...