
Time bar (total: 6.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 2 |
| 75% | 18.7% | 6.2% | 75% | 0% | 0% | 0% | 3 |
| 87.5% | 21.9% | 3.1% | 75% | 0% | 0% | 0% | 4 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 5 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 6 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 7 |
| 99.2% | 24.8% | 0.2% | 75% | 0% | 0% | 0% | 8 |
| 99.6% | 24.9% | 0.1% | 75% | 0% | 0% | 0% | 9 |
| 99.8% | 24.9% | 0% | 75% | 0% | 0% | 0% | 10 |
| 99.9% | 25% | 0% | 75% | 0% | 0% | 0% | 11 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 12 |
Compiled 19 to 13 computations (31.6% saved)
| 1.2s | 6 448× | 1 | valid |
| 438.0ms | 1 685× | 2 | valid |
| 9.0ms | 123× | 0 | valid |
ival-sqrt: 383.0ms (26.8% of total)ival-div: 332.0ms (23.2% of total)adjust: 324.0ms (22.6% of total)const: 120.0ms (8.4% of total)ival-add: 102.0ms (7.1% of total)ival-sub: 77.0ms (5.4% of total)ival-<: 48.0ms (3.4% of total)ival->: 23.0ms (1.6% of total)ival-and: 12.0ms (0.8% of total)exact: 7.0ms (0.5% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 176 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | cancellation | 176 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 176 | 0 |
| - | 0 | 80 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 176 | 0 | 0 |
| - | 0 | 0 | 80 |
| number | freq |
|---|---|
| 0 | 80 |
| 1 | 176 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 63.0ms | 424× | 1 | valid |
| 18.0ms | 82× | 2 | valid |
| 0.0ms | 6× | 0 | valid |
Compiled 79 to 28 computations (64.6% saved)
ival-sqrt: 19.0ms (31.6% of total)adjust: 15.0ms (24.9% of total)ival-div: 14.0ms (23.2% of total)ival-add: 6.0ms (10% of total)ival-sub: 5.0ms (8.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 13 | 27 |
| 0 | 8 | 11 |
| 0 | 14 | 11 |
| 1 | 17 | 11 |
| 0 | 17 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 37.3% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 0 | 14 | 32 |
| 1 | 17 | 32 |
| 0 | 17 | 32 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.25390625 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.25390625 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| accuracy | 40.095069924531046 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 37.0ms | 212× | 1 | valid |
| 9.0ms | 41× | 2 | valid |
| 0.0ms | 3× | 0 | valid |
Compiled 34 to 10 computations (70.6% saved)
ival-sqrt: 15.0ms (43% of total)adjust: 8.0ms (22.9% of total)ival-div: 7.0ms (20.1% of total)ival-add: 3.0ms (8.6% of total)ival-sub: 2.0ms (5.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1)))) |
| 1.0ms | x | @ | inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1)))) |
| 1.0ms | x | @ | 0 | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 457 |
| 1 | 333 | 395 |
| 2 | 1237 | 369 |
| 3 | 6312 | 369 |
| 0 | 8119 | 348 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
| Outputs |
|---|
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/.f64 (-.f64 (sqrt.f64 x) x) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x) |
(sqrt x) |
(sqrt.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/16 binary64) x #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(fma.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (sqrt.f64 x) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 0 | 14 | 23 |
| 1 | 59 | 19 |
| 2 | 416 | 19 |
| 3 | 5679 | 17 |
| 0 | 8791 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(neg.f64 (pow.f64 x #s(literal -1/2 binary64))) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
(-.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))) |
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(neg.f64 (neg.f64 (sqrt.f64 x))) |
(sqrt.f64 x) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
(*.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (cos.f64 (atan.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 (acosh.f64 x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (fabs.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) |
(*.f64 #s(literal -1 binary64) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(*.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(pow.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -2 binary64)) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(neg.f64 (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(sqrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) |
(-.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x))) (sinh.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) |
(fabs.f64 (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(cos.f64 (atan.f64 (fabs.f64 (neg.f64 (sqrt.f64 x))))) |
(cos.f64 (atan.f64 (fabs.f64 (sqrt.f64 x)))) |
(cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x)))) |
(cos.f64 (atan.f64 (sqrt.f64 x))) |
(+.f64 (cosh.f64 (*.f64 (log1p.f64 x) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log1p.f64 x) #s(literal -1/2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x))) (sinh.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x)))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/4 binary64)) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log1p.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log1p.f64 x)) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x))) |
Compiled 5 466 to 776 computations (85.8% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 277 | 8 | 285 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 277 | 9 | 286 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 37.4% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
| 37.4% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| ▶ | 36.1% | (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
| 38.3% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) | |
| ▶ | 37.4% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) |
| ✓ | 37.3% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ▶ | 82.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64))) |
| 65.2% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) | |
| ▶ | 5.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 331 to 206 computations (37.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) | |
| cost-diff | 0 | (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) | |
| cost-diff | 1 | (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) | |
| cost-diff | 6 | (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| cost-diff | 1 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) | |
| cost-diff | 3 | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) | |
| cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 334 |
| 0 | 72 | 334 |
| 1 | 125 | 328 |
| 2 | 277 | 328 |
| 3 | 917 | 327 |
| 4 | 3161 | 319 |
| 0 | 8357 | 319 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 x) |
(*.f64 x x) |
#s(literal -1/2 binary64) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(hypot.f64 (sqrt.f64 x) x) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(pow.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(cos.f64 (atan.f64 (sqrt.f64 x))) |
(atan.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(exp.f64 (neg.f64 (log1p.f64 x))) |
(neg.f64 (log1p.f64 x)) |
(log1p.f64 x) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (*.f64 x x)) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
(sqrt.f64 x) |
(*.f64 x x) |
#s(literal -1/2 binary64) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(hypot.f64 (sqrt.f64 x) x) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) #s(literal 3 binary64))) (/.f64 (exp.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)))) (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) #s(literal 3 binary64)))) |
(-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) |
(/.f64 (/.f64 (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64))))) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(pow.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(cos.f64 (atan.f64 (sqrt.f64 x))) |
(atan.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(exp.f64 (neg.f64 (log1p.f64 x))) |
(neg.f64 (log1p.f64 x)) |
(log1p.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 19.506566503198414 | (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) | |
| accuracy | 40.095069924531046 | (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) | |
| accuracy | 56.490183012307604 | (cos.f64 (atan.f64 (sqrt.f64 x))) | |
| accuracy | 60.14437560801474 | (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) | |
| accuracy | 0.0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.1640625 | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) | |
| accuracy | 60.18462999946927 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.25390625 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) | |
| accuracy | 0.33822250976844204 | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 60.18462999946927 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.15234375 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 60.464192040049284 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.015625 | (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) | |
| accuracy | 0.15234375 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.9167017926041685 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64))) | |
| accuracy | 10.569011443006001 | (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) |
| 230.0ms | 98× | 2 | valid |
| 194.0ms | 157× | 1 | valid |
| 0.0ms | 1× | 0 | valid |
Compiled 343 to 38 computations (88.9% saved)
ival-pow: 100.0ms (26.4% of total)ival-cos: 59.0ms (15.6% of total)adjust: 51.0ms (13.5% of total)ival-div: 37.0ms (9.8% of total)ival-atan: 34.0ms (9% of total)ival-exp: 17.0ms (4.5% of total)ival-log1p: 17.0ms (4.5% of total)ival-hypot: 14.0ms (3.7% of total)ival-sub: 13.0ms (3.4% of total)ival-pow2: 12.0ms (3.2% of total)ival-sqrt: 12.0ms (3.2% of total)ival-mult: 6.0ms (1.6% of total)ival-neg: 3.0ms (0.8% of total)ival-add: 3.0ms (0.8% of total)exact: 1.0ms (0.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(sqrt.f64 x) |
(cos.f64 (atan.f64 (sqrt.f64 x))) |
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
| Outputs |
|---|
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(sqrt (/ 1 (pow x 5))) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 3)) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x) |
(/ 1 x) |
(- 1 (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x)) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+ 1 x) |
(* x (+ (sqrt (/ 1 (pow x 3))) (* x (- (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2))))))) |
(* x (+ (sqrt (/ 1 (pow x 3))) (* x (- (+ (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* x (- (* -1 (* (sqrt (/ 1 x)) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (+ (/ 1 x) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* -1 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (- (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2)))))))))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2))))))) |
(* x (+ (sqrt (/ 1 (pow x 3))) (* x (- (+ (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* x (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (+ (/ 1 x) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* x (- (* (sqrt (/ 1 x)) (- (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))) (* 2 (/ 1 x))) (+ (* 2 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* 2 (* (sqrt (/ 1 (pow x 5))) (pow (cos (atan (sqrt x))) 3)))))) (* -1 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (- (* -1 (* (sqrt (/ 1 x)) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (+ (/ 1 x) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* -1 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (- (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2)))))))))))))) (* -1 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (- (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2)))))))))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2))))))) |
(+ (* 2 (* (sqrt (/ 1 x)) (cos (atan (sqrt x))))) (/ 1 x)) |
(+ (* x (- (* -1 (* x (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (+ (/ 1 x) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))))) (/ 1 x)) |
(+ (* x (- (* x (- (* x (- (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))) (* 2 (/ 1 x))) (+ (* 2 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* 2 (* (sqrt (/ 1 (pow x 5))) (pow (cos (atan (sqrt x))) 3)))))) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (+ (/ 1 x) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))))) (/ 1 x)) |
(+ (* x (- (* -1 (* x (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))))) (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))))) (/ 1 x)) |
(+ (* x (- (* x (- (* -1 (* x (+ (* 2 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* 2 (* (sqrt (/ 1 (pow x 5))) (pow (cos (atan (sqrt x))) 3)))))) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))))) (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))))) (/ 1 x)) |
(+ (cos (atan (sqrt x))) (sqrt (/ 1 x))) |
(+ (sqrt (/ 1 x)) (* x (- (* (sqrt (/ 1 x)) (pow (cos (atan (sqrt x))) 2)) (* -1 (/ (cos (atan (sqrt x))) x))))) |
(+ (sqrt (/ 1 x)) (* x (- (* x (- (/ (pow (cos (atan (sqrt x))) 3) x) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (cos (atan (sqrt x))) 2))))) (* -1 (/ (cos (atan (sqrt x))) x))))) |
(sqrt x) |
(cos (atan (sqrt x))) |
(/ (+ (sqrt x) (* -1 (* x (cos (atan (sqrt x)))))) x) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(* -1 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))) x) |
(* -1 (sqrt x)) |
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x)))) |
(/ 1/2 x) |
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x) |
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x) |
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* -1 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))) |
(+ (* -1 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))) (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))))) |
(- (+ (* -1 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))) (/ 1 (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))) (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))))) |
(- (+ (* -1 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))) (+ (* 4 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 3) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))) (/ 1 (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))) (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))))) |
(* -1 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))) |
(- (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))) |
(- (/ 1 (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))) (+ (* -2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (+ (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))) (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))))) |
(- (+ (* 4 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 3) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (/ 1 (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (+ (* -2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (+ (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))) (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))))) |
(/ 1 (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))) |
(/ 1 (* x (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))))) |
(- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x)) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* 1/2 (* (pow (sqrt -1) 2) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (pow (sqrt -1) 6)))) (* 1/16 (sqrt (pow x 3)))) x)) (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) |
(+ (* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))))) |
(+ (* -1 (/ (+ (* -2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (* -1 (/ (- (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) x))) x)) (* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) |
(+ (* -1 (/ (+ (* -2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (* -1 (/ (- (+ (* 4 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) x))) x)) (* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) |
(* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) |
(- (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) |
(- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) |
(/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) |
(/ 1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))))) |
(cos (atan (* (sqrt x) (pow (sqrt -1) 2)))) |
(- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) -1/2) (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) (- (sqrt (/ 1 x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+ x 1) (/ (- (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (pow (/ (exp (neg (log (+ 1 x)))) (- (pow x -1/2) (cos (atan (sqrt x))))) 2)) (- (pow x -1/2) (cos (atan (sqrt x))))) (- (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (pow (/ (exp (neg (log (+ 1 x)))) (- (pow x -1/2) (cos (atan (sqrt x))))) 2)) (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) (sqrt x) (cos (atan (sqrt x))) (- (pow x -1/2) (cos (atan (sqrt x))))) |
| 16.0ms | x | @ | -inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) -1/2) (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) (- (sqrt (/ 1 x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+ x 1) (/ (- (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (pow (/ (exp (neg (log (+ 1 x)))) (- (pow x -1/2) (cos (atan (sqrt x))))) 2)) (- (pow x -1/2) (cos (atan (sqrt x))))) (- (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (pow (/ (exp (neg (log (+ 1 x)))) (- (pow x -1/2) (cos (atan (sqrt x))))) 2)) (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) (sqrt x) (cos (atan (sqrt x))) (- (pow x -1/2) (cos (atan (sqrt x))))) |
| 7.0ms | x | @ | 0 | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) -1/2) (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) (- (sqrt (/ 1 x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+ x 1) (/ (- (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (pow (/ (exp (neg (log (+ 1 x)))) (- (pow x -1/2) (cos (atan (sqrt x))))) 2)) (- (pow x -1/2) (cos (atan (sqrt x))))) (- (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (pow (/ (exp (neg (log (+ 1 x)))) (- (pow x -1/2) (cos (atan (sqrt x))))) 2)) (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) (sqrt x) (cos (atan (sqrt x))) (- (pow x -1/2) (cos (atan (sqrt x))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 611 | 3964 |
| 1 | 2038 | 3206 |
| 0 | 8685 | 3068 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(sqrt (/ 1 (pow x 5))) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 3)) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x) |
(/ 1 x) |
(- 1 (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x)) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+ 1 x) |
(* x (+ (sqrt (/ 1 (pow x 3))) (* x (- (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2))))))) |
(* x (+ (sqrt (/ 1 (pow x 3))) (* x (- (+ (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* x (- (* -1 (* (sqrt (/ 1 x)) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (+ (/ 1 x) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* -1 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (- (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2)))))))))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2))))))) |
(* x (+ (sqrt (/ 1 (pow x 3))) (* x (- (+ (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* x (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (+ (/ 1 x) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* x (- (* (sqrt (/ 1 x)) (- (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))) (* 2 (/ 1 x))) (+ (* 2 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* 2 (* (sqrt (/ 1 (pow x 5))) (pow (cos (atan (sqrt x))) 3)))))) (* -1 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (- (* -1 (* (sqrt (/ 1 x)) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (+ (/ 1 x) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* -1 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (- (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2)))))))))))))) (* -1 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (- (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2)))))))))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2))))))) |
(+ (* 2 (* (sqrt (/ 1 x)) (cos (atan (sqrt x))))) (/ 1 x)) |
(+ (* x (- (* -1 (* x (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (+ (/ 1 x) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))))) (/ 1 x)) |
(+ (* x (- (* x (- (* x (- (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))) (* 2 (/ 1 x))) (+ (* 2 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* 2 (* (sqrt (/ 1 (pow x 5))) (pow (cos (atan (sqrt x))) 3)))))) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (+ (/ 1 x) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))))) (/ 1 x)) |
(+ (* x (- (* -1 (* x (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))))) (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))))) (/ 1 x)) |
(+ (* x (- (* x (- (* -1 (* x (+ (* 2 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* 2 (* (sqrt (/ 1 (pow x 5))) (pow (cos (atan (sqrt x))) 3)))))) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))))) (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))))) (/ 1 x)) |
(+ (cos (atan (sqrt x))) (sqrt (/ 1 x))) |
(+ (sqrt (/ 1 x)) (* x (- (* (sqrt (/ 1 x)) (pow (cos (atan (sqrt x))) 2)) (* -1 (/ (cos (atan (sqrt x))) x))))) |
(+ (sqrt (/ 1 x)) (* x (- (* x (- (/ (pow (cos (atan (sqrt x))) 3) x) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (cos (atan (sqrt x))) 2))))) (* -1 (/ (cos (atan (sqrt x))) x))))) |
(sqrt x) |
(cos (atan (sqrt x))) |
(/ (+ (sqrt x) (* -1 (* x (cos (atan (sqrt x)))))) x) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(* -1 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))) x) |
(* -1 (sqrt x)) |
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x)))) |
(/ 1/2 x) |
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x) |
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x) |
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* -1 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))) |
(+ (* -1 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))) (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))))) |
(- (+ (* -1 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))) (/ 1 (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))) (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))))) |
(- (+ (* -1 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))) (+ (* 4 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 3) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))) (/ 1 (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))) (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))))) |
(* -1 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))) |
(- (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))) |
(- (/ 1 (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))) (+ (* -2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (+ (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))) (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))))) |
(- (+ (* 4 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 3) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (/ 1 (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (+ (* -2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (+ (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))) (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))))) |
(/ 1 (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))) |
(/ 1 (* x (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))))) |
(- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x)) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* 1/2 (* (pow (sqrt -1) 2) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (pow (sqrt -1) 6)))) (* 1/16 (sqrt (pow x 3)))) x)) (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) |
(+ (* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))))) |
(+ (* -1 (/ (+ (* -2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (* -1 (/ (- (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) x))) x)) (* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) |
(+ (* -1 (/ (+ (* -2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (* -1 (/ (- (+ (* 4 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) x))) x)) (* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) |
(* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) |
(- (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) |
(- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) |
(/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) |
(/ 1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))))) |
(cos (atan (* (sqrt x) (pow (sqrt -1) 2)))) |
(- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) |
| Outputs |
|---|
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/.f64 (-.f64 (sqrt.f64 x) x) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64))) |
(sqrt (/ 1 (pow x 5))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 3)) |
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x) |
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3/8 binary64)) x (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x)) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 5/16 binary64)) x (-.f64 (*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3/8 binary64))) x (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
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x |
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(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -3/4 binary64) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* 1/2 (* (pow (sqrt -1) 2) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (pow (sqrt -1) 6)))) (* 1/16 (sqrt (pow x 3)))) x)) (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -3/4 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (sqrt.f64 x)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x)))) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
(* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) |
(/.f64 (neg.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64))) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))) |
(+ (* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) x) (/.f64 (neg.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64))) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64)))) |
(+ (* -1 (/ (+ (* -2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (* -1 (/ (- (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) x))) x)) (* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) |
(neg.f64 (+.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))) #s(literal -2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))) (*.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))) #s(literal 3 binary64))) x)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))))) |
(+ (* -1 (/ (+ (* -2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (* -1 (/ (- (+ (* 4 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) x))) x)) (* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) |
(neg.f64 (+.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))) #s(literal -2 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))) (*.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))) #s(literal 3 binary64)))) x)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))))) |
(* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) |
(/.f64 (neg.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64))) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) |
(- (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) |
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) x)) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64)))) |
(- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) |
(-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) #s(literal 3 binary64))) (neg.f64 x))) (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64)))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) |
(-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 x))) (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64)))) |
(/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) |
(/ 1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x)))))) |
(cos (atan (* (sqrt x) (pow (sqrt -1) 2)))) |
(cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x)))) |
(- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) |
(-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 241 |
| 0 | 72 | 247 |
| 1 | 284 | 212 |
| 2 | 1968 | 177 |
| 0 | 9349 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(sqrt.f64 x) |
(cos.f64 (atan.f64 (sqrt.f64 x))) |
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)) |
(*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) x) x) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) x) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal -1/2 binary64)) (*.f64 x x)) |
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) (exp.f64 (neg.f64 (log1p.f64 x))))) (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))) (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 1 binary64))) (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))))) |
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (/.f64 x (fma.f64 x x x))) (+.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) (hypot.f64 (sqrt.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 x (fma.f64 x x x)) #s(literal 3/2 binary64))) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (+.f64 (/.f64 x (fma.f64 x x x)) (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (/.f64 x (fma.f64 x x x))))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (+.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (neg.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)))) (+.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) (*.f64 (hypot.f64 (sqrt.f64 x) x) (sqrt.f64 x))) (fma.f64 x x x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) |
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (neg.f64 (+.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (+.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (+.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x)) (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (tanh.f64 (asinh.f64 (sqrt.f64 x))))) (sqrt.f64 x)) |
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))) |
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (tanh.f64 (asinh.f64 (sqrt.f64 x)))) (sqrt.f64 x)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x))) |
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))) |
(neg.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(fma.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(fma.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64)))) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(fma.f64 (fabs.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/4 binary64))) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -1/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal -3/4 binary64))) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/8 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(fma.f64 (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(fma.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(fma.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(fma.f64 (pow.f64 x #s(literal -1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/4 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(fma.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 (sqrt.f64 x))) (pow.f64 x #s(literal -1/2 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (+.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) (hypot.f64 (sqrt.f64 x) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))) |
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (tanh.f64 (asinh.f64 (sqrt.f64 x))) (sqrt.f64 x))) |
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(+.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) (pow.f64 x #s(literal -1/2 binary64))) |
Compiled 38 079 to 4 123 computations (89.2% saved)
19 alts after pruning (16 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 194 | 13 | 1 207 |
| Fresh | 0 | 3 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 197 | 19 | 1 216 |
| Status | Accuracy | Program |
|---|---|---|
| 37.4% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| ▶ | 98.8% | (/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
| 98.0% | (/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) | |
| 38.3% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) | |
| ✓ | 37.4% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) |
| ▶ | 98.9% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
| 98.8% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x)) | |
| 98.1% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) | |
| ▶ | 98.3% | (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (hypot.f64 (sqrt.f64 x) x)) |
| ✓ | 37.3% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 98.2% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) x) x)) | |
| 5.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) | |
| ▶ | 5.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| ▶ | 82.0% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64))) |
| 82.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| 98.6% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64))) | |
| 65.2% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) | |
| 36.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) | |
| ✓ | 5.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 725 to 500 computations (31% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (hypot.f64 (sqrt.f64 x) x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) | |
| cost-diff | 0 | (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 383 |
| 0 | 78 | 383 |
| 1 | 120 | 377 |
| 2 | 285 | 377 |
| 3 | 867 | 377 |
| 4 | 1955 | 377 |
| 5 | 4181 | 377 |
| 6 | 5675 | 377 |
| 7 | 6160 | 377 |
| 8 | 6240 | 377 |
| 9 | 6270 | 377 |
| 10 | 6281 | 377 |
| 11 | 6548 | 377 |
| 12 | 6567 | 377 |
| 13 | 6569 | 377 |
| 14 | 6569 | 377 |
| 15 | 6569 | 377 |
| 16 | 6693 | 377 |
| 17 | 6779 | 377 |
| 18 | 6809 | 377 |
| 19 | 6831 | 377 |
| 20 | 6834 | 377 |
| 21 | 6834 | 377 |
| 22 | 6850 | 377 |
| 23 | 6850 | 377 |
| 0 | 8889 | 377 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x) |
(-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
#s(literal 1/4 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 3/8 binary64) x) |
#s(literal 3/8 binary64) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64)) |
(/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) |
#s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(*.f64 x x) |
#s(literal -1/2 binary64) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(literal -1/8 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (hypot.f64 (sqrt.f64 x) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(hypot.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x) |
(-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) |
(-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
#s(literal 1/4 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 3/8 binary64) x) |
#s(literal 3/8 binary64) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 x) x) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))))) |
(*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) |
#s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(*.f64 x x) |
#s(literal -1/2 binary64) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) |
#s(literal -1/8 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (hypot.f64 (sqrt.f64 x) x)) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (hypot.f64 (sqrt.f64 x) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(hypot.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.15234375 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.1640625 | (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (hypot.f64 (sqrt.f64 x) x)) | |
| accuracy | 0.9121702963124209 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.25390625 | (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) | |
| accuracy | 0.25390625 | (/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) | |
| accuracy | 0.33822250976844204 | (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.4526051189963652 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) | |
| accuracy | 0.0 | (neg.f64 (sqrt.f64 x)) | |
| accuracy | 0.9167017926041685 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64))) | |
| accuracy | 0.9863772657980471 | #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) | |
| accuracy | 10.569011443006001 | (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.25390625 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| accuracy | 60.464192040049284 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) | |
| accuracy | 0.015625 | (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) | |
| accuracy | 0.25390625 | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) | |
| accuracy | 0.45807543659067457 | #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) | |
| accuracy | 0.93025542145477 | (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
| 189.0ms | 212× | 1 | valid |
| 29.0ms | 41× | 2 | valid |
| 1.0ms | 3× | 0 | valid |
Compiled 283 to 37 computations (86.9% saved)
ival-sub: 78.0ms (44.9% of total)ival-div: 28.0ms (16.1% of total)adjust: 25.0ms (14.4% of total)ival-sqrt: 12.0ms (6.9% of total)ival-mult: 11.0ms (6.3% of total)ival-hypot: 9.0ms (5.2% of total)ival-add: 8.0ms (4.6% of total)ival-neg: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x) |
(-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64)) |
(/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) |
#s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (hypot.f64 (sqrt.f64 x) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(neg.f64 (sqrt.f64 x)) |
| Outputs |
|---|
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(- 1 (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x)) |
(/ 1/4 (pow x 3)) |
(/ (+ 1/4 (* -3/8 x)) (pow x 3)) |
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 3)) |
(/ 1/4 (pow x 2)) |
(/ (+ 1/4 (* -3/8 x)) (pow x 2)) |
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 2)) |
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(sqrt (/ 1 (pow x 5))) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 3)) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(* -1/8 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)) |
(* 1/2 (sqrt (/ 1 x))) |
(* -1 (sqrt x)) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/ 1/2 x) |
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x) |
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x) |
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x) |
(/ (- 1/2 (* 3/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x))) x) |
1/2 |
(- 1/2 (* 3/8 (/ 1 x))) |
(- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(* -1 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))) x) |
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x)))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x)) |
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 3/8) x)) 1/2) x)) |
(+ 1/2 (* -1 (/ (- 3/8 (* 1/4 (/ 1 x))) x))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* 1/2 (* (pow (sqrt -1) 2) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (pow (sqrt -1) 6)))) (* 1/16 (sqrt (pow x 3)))) x)) (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | x | @ | 0 | ((/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) x) (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) -1/2) (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) (- (sqrt (/ 1 x)) (sqrt x)) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (- (sqrt (+ x 1)) (sqrt x)) (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1/4 (* x x)) (neg (sqrt x))) |
| 4.0ms | x | @ | -inf | ((/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) x) (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) -1/2) (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) (- (sqrt (/ 1 x)) (sqrt x)) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (- (sqrt (+ x 1)) (sqrt x)) (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1/4 (* x x)) (neg (sqrt x))) |
| 2.0ms | x | @ | inf | ((/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) x) (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) -1/2) (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) (- (sqrt (/ 1 x)) (sqrt x)) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (- (sqrt (+ x 1)) (sqrt x)) (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1/4 (* x x)) (neg (sqrt x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 398 | 1672 |
| 1 | 1329 | 1399 |
| 2 | 5604 | 1397 |
| 0 | 8093 | 1311 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(- 1 (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x)) |
(/ 1/4 (pow x 3)) |
(/ (+ 1/4 (* -3/8 x)) (pow x 3)) |
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 3)) |
(/ 1/4 (pow x 2)) |
(/ (+ 1/4 (* -3/8 x)) (pow x 2)) |
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 2)) |
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(sqrt (/ 1 (pow x 5))) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 3)) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(* -1/8 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)) |
(* 1/2 (sqrt (/ 1 x))) |
(* -1 (sqrt x)) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/ 1/2 x) |
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x) |
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x) |
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x) |
(/ (- 1/2 (* 3/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x))) x) |
1/2 |
(- 1/2 (* 3/8 (/ 1 x))) |
(- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(* -1 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))) x) |
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x)))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x)) |
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 3/8) x)) 1/2) x)) |
(+ 1/2 (* -1 (/ (- 3/8 (* 1/4 (/ 1 x))) x))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* 1/2 (* (pow (sqrt -1) 2) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (pow (sqrt -1) 6)))) (* 1/16 (sqrt (pow x 3)))) x)) (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
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(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 x)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x) |
(* -1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x)) |
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt x))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -3/4 binary64) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* 1/2 (* (pow (sqrt -1) 2) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (pow (sqrt -1) 6)))) (* 1/16 (sqrt (pow x 3)))) x)) (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -3/4 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (sqrt.f64 x)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x)))) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 309 |
| 0 | 78 | 308 |
| 1 | 259 | 270 |
| 2 | 1863 | 254 |
| 0 | 9206 | 250 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x) |
(-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64)) |
(/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) |
#s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (hypot.f64 (sqrt.f64 x) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(neg.f64 (sqrt.f64 x)) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal -3/8 binary64)) x)) x)))) (sqrt.f64 x)) |
(/.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal -3/8 binary64)) x)) x))) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal -3/8 binary64)) x)) x)) (sqrt.f64 x)) |
(neg.f64 (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal -3/8 binary64)) x)) x)) (sqrt.f64 x))) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal -3/8 binary64)) x)) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal -3/8 binary64) x) (sqrt.f64 x)))) x) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (sqrt.f64 x)) (*.f64 x x)) (*.f64 (sqrt.f64 x) #s(literal -3/8 binary64))) (pow.f64 x #s(literal 5/2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (sqrt.f64 x)) x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -3/8 binary64) x))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (sqrt.f64 x)) (*.f64 x x)) (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64))) (pow.f64 x #s(literal 5/2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (sqrt.f64 x)) (*.f64 x (/.f64 (/.f64 #s(literal -3/8 binary64) x) (sqrt.f64 x)))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 x x)) (*.f64 x #s(literal -3/8 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x) (*.f64 x (/.f64 #s(literal -3/8 binary64) x))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 x x)) (*.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) (/.f64 (/.f64 #s(literal -3/8 binary64) x) (sqrt.f64 x)))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) (sqrt.f64 x))) |
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) #s(literal -3/8 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -3/8 binary64) x))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)) |
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) #s(literal 3/8 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 x)) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (/.f64 (/.f64 #s(literal -3/8 binary64) x) (sqrt.f64 x)))) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (sqrt.f64 x))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) #s(literal -3/8 binary64))) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)))) x) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (/.f64 #s(literal -3/8 binary64) x))) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) #s(literal 3/8 binary64))) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (sqrt.f64 x)) (*.f64 x (/.f64 (/.f64 #s(literal -3/8 binary64) x) (sqrt.f64 x)))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x #s(literal -3/8 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)))) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -3/8 binary64) x) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (-.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal -3/8 binary64) x)) x) |
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal -3/8 binary64)) x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 x x)) #s(literal 2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x) (/.f64 #s(literal -3/8 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x) #s(literal 3 binary64)) (/.f64 #s(literal -27/512 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x) (/.f64 #s(literal -3/8 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal -3/8 binary64)) x)))) x) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x) (*.f64 x (/.f64 #s(literal -3/8 binary64) x))) (*.f64 x x)) |
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(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x) (*.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 x)))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x) (*.f64 x (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x) (*.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x) (*.f64 x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x) (*.f64 x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 x)) x (*.f64 (sqrt.f64 x) (neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 x)) x (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x) (*.f64 x (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x (*.f64 x (neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) (*.f64 x x)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x (*.f64 x (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 x) (*.f64 x (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x (*.f64 x (neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x (*.f64 x (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 x)))) x) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 x (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 x)))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x (*.f64 x (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) (*.f64 x x)) |
(/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x (*.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 x)))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x (*.f64 x (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) |
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (sqrt.f64 x) #s(literal -9 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x (*.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (*.f64 x x)) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x) |
(/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) x)) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) x) |
(neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) |
(-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) x)) |
(-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) |
(+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))) (neg.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)))) |
(/.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (hypot.f64 (sqrt.f64 x) x))) |
(neg.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x) |
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
(/.f64 (fabs.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 x) x) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(neg.f64 (pow.f64 x #s(literal -1/2 binary64))) |
(sqrt.f64 (/.f64 x (*.f64 x x))) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))) |
(exp.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 x))) |
(exp.f64 (/.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x))) |
(/.f64 (fabs.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (fabs.f64 (neg.f64 (/.f64 #s(literal -1/4 binary64) x))) x) |
(/.f64 (fabs.f64 (/.f64 #s(literal -1/4 binary64) x)) x) |
(/.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (neg.f64 (/.f64 #s(literal -1/4 binary64) x)) x) |
(/.f64 (/.f64 #s(literal -1/4 binary64) x) x) |
(/.f64 #s(literal -1/4 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(neg.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
(sqrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fabs.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(fabs.f64 (sqrt.f64 x)) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))) |
(exp.f64 (/.f64 (log.f64 x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
Compiled 14 986 to 2 035 computations (86.4% saved)
25 alts after pruning (17 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 436 | 11 | 447 |
| Fresh | 5 | 6 | 11 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 441 | 25 | 466 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 37.4% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| ✓ | 98.8% | (/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
| 38.3% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) | |
| ✓ | 37.4% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) |
| 81.9% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)))) (*.f64 x x))) (sqrt.f64 x)) | |
| ▶ | 99.1% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
| ✓ | 98.9% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
| 97.4% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (sqrt.f64 x)) x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -3/8 binary64) x))) (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 x)) | |
| 98.9% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) | |
| 98.8% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x)) | |
| ▶ | 98.1% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) |
| ▶ | 98.2% | (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x)) |
| ✓ | 98.3% | (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (hypot.f64 (sqrt.f64 x) x)) |
| ✓ | 37.3% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 65.2% | #s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) | |
| 34.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x))) (*.f64 x x))) | |
| ▶ | 5.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
| ✓ | 5.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| 98.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (neg.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x)) x)) x) #s(literal -1/2 binary64))) | |
| ✓ | 82.0% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64))) |
| 82.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| 98.6% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64))) | |
| 34.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| 36.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) | |
| ✓ | 5.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 1 044 to 689 computations (34% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x)) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| cost-diff | 1 | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) | |
| cost-diff | 3 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 x) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) | |
| cost-diff | 0 | (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) | |
| cost-diff | 2 | (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 385 |
| 0 | 77 | 385 |
| 1 | 121 | 371 |
| 2 | 301 | 359 |
| 3 | 1130 | 359 |
| 4 | 5023 | 359 |
| 0 | 9004 | 350 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) |
(/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x) |
(-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) |
(+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) |
(+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) |
#s(literal 3/8 binary64) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) |
#s(literal 1/4 binary64) |
x |
#s(literal 1 binary64) |
#s(literal -1/4 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 3/8 binary64) x) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
(/.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
x |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) |
(/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x) |
#s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(sqrt.f64 x) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
x |
(hypot.f64 (sqrt.f64 x) x) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/4 binary64)) x) #s(literal 3/8 binary64)) x) x) (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))) x)) (sqrt.f64 x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/4 binary64)) x) #s(literal 3/8 binary64)) x) x) (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))) x)) |
(/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x) |
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/4 binary64)) x) #s(literal 3/8 binary64)) x) x) (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))) x) |
(-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) |
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/4 binary64)) x) #s(literal 3/8 binary64)) x) x) (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/4 binary64)) x) #s(literal 3/8 binary64)) x) x)) |
(/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/4 binary64)) x) #s(literal 3/8 binary64)) x) x) |
(+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) |
(+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/4 binary64)) x) #s(literal 3/8 binary64)) |
#s(literal 3/8 binary64) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x) |
(/.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/4 binary64)) x) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) |
(fma.f64 #s(literal -1/16 binary64) x #s(literal -1/4 binary64)) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) |
#s(literal 1/4 binary64) |
x |
#s(literal 1 binary64) |
#s(literal -1/4 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 3/8 binary64) x) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
(/.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
x |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) |
(/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x) |
#s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(sqrt.f64 x) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) |
(-.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 1 binary64)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
x |
(hypot.f64 (sqrt.f64 x) x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.1640625 | (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x)) | |
| accuracy | 0.25390625 | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) | |
| accuracy | 0.9121702963124209 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.24609375 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.33822250976844204 | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) | |
| accuracy | 60.18462999946927 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x) | |
| accuracy | 0.25390625 | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) | |
| accuracy | 0.45807543659067457 | #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) | |
| accuracy | 0.9831007575677138 | #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.2578125 | (/.f64 (sqrt.f64 x) x) | |
| accuracy | 60.464192040049284 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) | |
| accuracy | 0.0078125 | (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) | |
| accuracy | 0.25390625 | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) | |
| accuracy | 0.3215595824926397 | #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) | |
| accuracy | 0.9117143927864858 | (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) |
| 153.0ms | 212× | 1 | valid |
| 29.0ms | 41× | 2 | valid |
| 1.0ms | 3× | 0 | valid |
Compiled 310 to 38 computations (87.7% saved)
ival-div: 54.0ms (41.6% of total)adjust: 30.0ms (23.1% of total)ival-sqrt: 14.0ms (10.8% of total)ival-add: 10.0ms (7.7% of total)ival-hypot: 9.0ms (6.9% of total)ival-sub: 8.0ms (6.2% of total)ival-mult: 4.0ms (3.1% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) |
(/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
(/.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) |
(/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x) |
#s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) |
(-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) |
| Outputs |
|---|
-1/4 |
(- (* -1/16 x) 1/4) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(- 1 (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x)) |
(/ -1/4 (pow x 4)) |
(/ (- (* 5/16 x) 1/4) (pow x 4)) |
(/ (- (* x (+ 5/16 (* -3/8 x))) 1/4) (pow x 4)) |
(/ (- (* x (+ 5/16 (* x (- (* 1/2 x) 3/8)))) 1/4) (pow x 4)) |
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
(/ 1/4 (pow x 3)) |
(/ (+ 1/4 (* -3/8 x)) (pow x 3)) |
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 3)) |
(/ 1/4 (pow x 2)) |
(/ (+ 1/4 (* -3/8 x)) (pow x 2)) |
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 2)) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(* 1/2 (sqrt (/ 1 x))) |
(/ -1/4 (pow x 3)) |
(/ (- (* 5/16 x) 1/4) (pow x 3)) |
(/ (- (* x (+ 5/16 (* -3/8 x))) 1/4) (pow x 3)) |
(/ (- (* x (+ 5/16 (* x (- (* 1/2 x) 3/8)))) 1/4) (pow x 3)) |
(* -1/16 x) |
(* -1 (* x (+ 1/16 (* 1/4 (/ 1 x))))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/ 1/2 x) |
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x) |
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x) |
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x) |
(/ (- 1/2 (* 3/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 5/16 (pow x 2))) (* 3/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 5/16 (pow x 2))) (+ (* 3/8 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/ (- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x))) x) |
1/2 |
(- 1/2 (* 3/8 (/ 1 x))) |
(- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x))) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(/ 5/16 (pow x 2)) |
(/ (- 5/16 (* 1/4 (/ 1 x))) (pow x 2)) |
(- (+ 1/2 (/ 5/16 (pow x 2))) (* 3/8 (/ 1 x))) |
(- (+ 1/2 (/ 5/16 (pow x 2))) (+ (* 3/8 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x)) |
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 5/16) x)) 3/8) x)) 1/2) x)) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 3/8) x)) 1/2) x)) |
(+ 1/2 (* -1 (/ (- 3/8 (* 1/4 (/ 1 x))) x))) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* 1/2 (* (pow (sqrt -1) 2) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (pow (sqrt -1) 6)))) (* 1/16 (sqrt (pow x 3)))) x)) (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(+ 1/2 (* -1 (/ (- 3/8 (* 5/16 (/ 1 x))) x))) |
(+ 1/2 (* -1 (/ (+ 3/8 (* -1 (/ (- 5/16 (* 1/4 (/ 1 x))) x))) x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((* (+ (* 1/4 x) 1) -1/4) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (- (+ (/ (+ 3/8 (/ (* (+ (* 1/4 x) 1) -1/4) x)) (* x x)) 1/2) (/ 3/8 x)) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) x) (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (/ (+ 3/8 (/ (* (+ (* 1/4 x) 1) -1/4) x)) (* x x)) (- (+ (/ (+ 3/8 (/ (* (+ (* 1/4 x) 1) -1/4) x)) (* x x)) 1/2) (/ 3/8 x))) |
| 3.0ms | x | @ | inf | ((* (+ (* 1/4 x) 1) -1/4) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (- (+ (/ (+ 3/8 (/ (* (+ (* 1/4 x) 1) -1/4) x)) (* x x)) 1/2) (/ 3/8 x)) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) x) (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (/ (+ 3/8 (/ (* (+ (* 1/4 x) 1) -1/4) x)) (* x x)) (- (+ (/ (+ 3/8 (/ (* (+ (* 1/4 x) 1) -1/4) x)) (* x x)) 1/2) (/ 3/8 x))) |
| 2.0ms | x | @ | 0 | ((* (+ (* 1/4 x) 1) -1/4) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (- (+ (/ (+ 3/8 (/ (* (+ (* 1/4 x) 1) -1/4) x)) (* x x)) 1/2) (/ 3/8 x)) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) x) (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (/ (+ 3/8 (/ (* (+ (* 1/4 x) 1) -1/4) x)) (* x x)) (- (+ (/ (+ 3/8 (/ (* (+ (* 1/4 x) 1) -1/4) x)) (* x x)) 1/2) (/ 3/8 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 499 | 2021 |
| 1 | 1660 | 1744 |
| 2 | 6755 | 1738 |
| 0 | 8035 | 1630 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/4 |
(- (* -1/16 x) 1/4) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(- 1 (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x)) |
(/ -1/4 (pow x 4)) |
(/ (- (* 5/16 x) 1/4) (pow x 4)) |
(/ (- (* x (+ 5/16 (* -3/8 x))) 1/4) (pow x 4)) |
(/ (- (* x (+ 5/16 (* x (- (* 1/2 x) 3/8)))) 1/4) (pow x 4)) |
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
(/ 1/4 (pow x 3)) |
(/ (+ 1/4 (* -3/8 x)) (pow x 3)) |
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 3)) |
(/ 1/4 (pow x 2)) |
(/ (+ 1/4 (* -3/8 x)) (pow x 2)) |
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 2)) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(* 1/2 (sqrt (/ 1 x))) |
(/ -1/4 (pow x 3)) |
(/ (- (* 5/16 x) 1/4) (pow x 3)) |
(/ (- (* x (+ 5/16 (* -3/8 x))) 1/4) (pow x 3)) |
(/ (- (* x (+ 5/16 (* x (- (* 1/2 x) 3/8)))) 1/4) (pow x 3)) |
(* -1/16 x) |
(* -1 (* x (+ 1/16 (* 1/4 (/ 1 x))))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/ 1/2 x) |
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x) |
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x) |
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x) |
(/ (- 1/2 (* 3/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 5/16 (pow x 2))) (* 3/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 5/16 (pow x 2))) (+ (* 3/8 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/ (- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x))) x) |
1/2 |
(- 1/2 (* 3/8 (/ 1 x))) |
(- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x))) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(/ 5/16 (pow x 2)) |
(/ (- 5/16 (* 1/4 (/ 1 x))) (pow x 2)) |
(- (+ 1/2 (/ 5/16 (pow x 2))) (* 3/8 (/ 1 x))) |
(- (+ 1/2 (/ 5/16 (pow x 2))) (+ (* 3/8 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x)) |
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 5/16) x)) 3/8) x)) 1/2) x)) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 3/8) x)) 1/2) x)) |
(+ 1/2 (* -1 (/ (- 3/8 (* 1/4 (/ 1 x))) x))) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* 1/2 (* (pow (sqrt -1) 2) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (pow (sqrt -1) 6)))) (* 1/16 (sqrt (pow x 3)))) x)) (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(+ 1/2 (* -1 (/ (- 3/8 (* 5/16 (/ 1 x))) x))) |
(+ 1/2 (* -1 (/ (+ 3/8 (* -1 (/ (- 5/16 (* 1/4 (/ 1 x))) x))) x))) |
| Outputs |
|---|
-1/4 |
#s(literal -1/4 binary64) |
(- (* -1/16 x) 1/4) |
(-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/4 binary64)) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) x (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) #s(literal 3/8 binary64)) x (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x)) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 5/16 binary64)) x (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) #s(literal 3/8 binary64))) x (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/ -1/4 (pow x 4)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ (- (* 5/16 x) 1/4) (pow x 4)) |
(/.f64 (-.f64 (*.f64 #s(literal 5/16 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ (- (* x (+ 5/16 (* -3/8 x))) 1/4) (pow x 4)) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 5/16 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ (- (* x (+ 5/16 (* x (- (* 1/2 x) 3/8)))) 1/4) (pow x 4)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/8 binary64)) x #s(literal 5/16 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/.f64 (-.f64 (sqrt.f64 x) x) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x) |
(sqrt x) |
(sqrt.f64 x) |
(/ 1/4 (pow x 3)) |
(/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 1/4 (* -3/8 x)) (pow x 3)) |
(/.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 3)) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/8 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ 1/4 (pow x 2)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(/ (+ 1/4 (* -3/8 x)) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/4 binary64)) x) x) |
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/8 binary64)) x #s(literal 1/4 binary64)) x) x) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(/ -1/4 (pow x 3)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* 5/16 x) 1/4) (pow x 3)) |
(/.f64 (fma.f64 #s(literal 5/16 binary64) x #s(literal -1/4 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* x (+ 5/16 (* -3/8 x))) 1/4) (pow x 3)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 5/16 binary64)) x #s(literal -1/4 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* x (+ 5/16 (* x (- (* 1/2 x) 3/8)))) 1/4) (pow x 3)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/8 binary64)) x #s(literal 5/16 binary64)) x #s(literal -1/4 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/16 x) |
(*.f64 #s(literal -1/16 binary64) x) |
(* -1 (* x (+ 1/16 (* 1/4 (/ 1 x))))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/16 binary64))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64) (fma.f64 #s(literal 3/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) (*.f64 x x)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x x) (/.f64 #s(literal 3/8 binary64) x))) x) |
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x) |
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x) |
(/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x) |
(/ (- 1/2 (* 3/8 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x) |
(/ (- (+ 1/2 (/ 5/16 (pow x 2))) (* 3/8 (/ 1 x))) x) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x) |
(/ (- (+ 1/2 (/ 5/16 (pow x 2))) (+ (* 3/8 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
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(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -3/4 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (sqrt.f64 x)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x)))) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
(+ 1/2 (* -1 (/ (- 3/8 (* 5/16 (/ 1 x))) x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)) |
(+ 1/2 (* -1 (/ (+ 3/8 (* -1 (/ (- 5/16 (* 1/4 (/ 1 x))) x))) x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 (-.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 313 |
| 0 | 77 | 313 |
| 1 | 284 | 275 |
| 2 | 2239 | 259 |
| 0 | 9349 | 254 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) |
(/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
(/.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) |
(/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x) |
#s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) |
(-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) |
| Outputs |
|---|
(*.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/4 binary64)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) |
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/4 binary64)) |
(+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) |
(+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -3/8 binary64)) x) #s(literal -3/8 binary64)) x)) x)))) (sqrt.f64 x)) |
(/.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -3/8 binary64)) x) #s(literal -3/8 binary64)) x)) x))) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -3/8 binary64)) x) #s(literal -3/8 binary64)) x)) x)) (sqrt.f64 x)) |
(neg.f64 (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -3/8 binary64)) x) #s(literal -3/8 binary64)) x)) x)) (sqrt.f64 x))) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -3/8 binary64)) x) #s(literal -3/8 binary64)) x)) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x))) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal -3/8 binary64) x) (sqrt.f64 x)))) x) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x))) (sqrt.f64 x)) (*.f64 x x)) (*.f64 (sqrt.f64 x) #s(literal -3/8 binary64))) (pow.f64 x #s(literal 5/2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x))) (sqrt.f64 x)) x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -3/8 binary64) x))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x))) (sqrt.f64 x)) (*.f64 x x)) (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64))) (pow.f64 x #s(literal 5/2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)))) (sqrt.f64 x)) (*.f64 x (/.f64 (/.f64 #s(literal -3/8 binary64) x) (sqrt.f64 x)))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)))) (*.f64 x x)) (*.f64 x #s(literal -3/8 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)))) x) (*.f64 x (/.f64 #s(literal -3/8 binary64) x))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)))) (*.f64 x x)) (*.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) x) (/.f64 (/.f64 #s(literal -3/8 binary64) x) (sqrt.f64 x)))) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) x) (sqrt.f64 x))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) x) #s(literal -3/8 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -3/8 binary64) x))) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) x) #s(literal 3/8 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (sqrt.f64 x)) (*.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)))) x) (/.f64 (/.f64 #s(literal -3/8 binary64) x) (sqrt.f64 x)))) (*.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)))) x) (sqrt.f64 x))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)))) x) #s(literal -3/8 binary64))) (*.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)))) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 3 binary64))) x) (*.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)))) x) (/.f64 #s(literal -3/8 binary64) x))) (*.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)))) x) x)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)))) x) #s(literal 3/8 binary64))) (*.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)))) x) (*.f64 x x))) |
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(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 3 binary64))) x) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -3/8 binary64)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 3/8 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -3/8 binary64)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) #s(literal 1/2 binary64))) (*.f64 x x))) x)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (sqrt.f64 x)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)))) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)))) (sqrt.f64 x))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 3 binary64))) x) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)))) #s(literal -3/8 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)))) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)) #s(literal 2 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) x) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 3 binary64))) x) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)))) #s(literal 3/8 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)))) x)) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -3/8 binary64) x) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)))) (/.f64 (pow.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -3/8 binary64) x) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -3/8 binary64) x) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x))) #s(literal 2 binary64))))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x))) (/.f64 #s(literal -3/8 binary64) x)) |
(+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 x x)) (+.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -3/8 binary64)) x) #s(literal -3/8 binary64)) x)) |
(+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3/8 binary64)) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x))) |
Compiled 18 440 to 2 281 computations (87.6% saved)
25 alts after pruning (15 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 560 | 4 | 564 |
| Fresh | 1 | 11 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 2 | 6 | 8 |
| Total | 564 | 25 | 589 |
| Status | Accuracy | Program |
|---|---|---|
| 37.7% | (/.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| ✓ | 37.4% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 38.3% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) | |
| ✓ | 37.4% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) |
| 81.9% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)))) (*.f64 x x))) (sqrt.f64 x)) | |
| 97.4% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (sqrt.f64 x)) x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -3/8 binary64) x))) (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 x)) | |
| 99.1% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ (+ 3/8 (/ (* (+ (* 1/4 x) 1) -1/4) x)) (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x))) x)) (sqrt.f64 x)) | |
| 98.8% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x)) | |
| ✓ | 98.1% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) |
| 98.9% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 98.2% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| ✓ | 98.2% | (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x)) |
| ✓ | 98.3% | (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (hypot.f64 (sqrt.f64 x) x)) |
| ✓ | 37.3% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 65.2% | #s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) | |
| 34.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x))) (*.f64 x x))) | |
| ✓ | 5.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
| ✓ | 5.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| 98.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (neg.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x)) x)) x) #s(literal -1/2 binary64))) | |
| ✓ | 82.0% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64))) |
| 82.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| 98.6% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64))) | |
| 34.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| 36.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) | |
| ✓ | 5.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 1 479 to 610 computations (58.8% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (neg.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x)) x)) x) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ (+ 3/8 (/ (* (+ (* 1/4 x) 1) -1/4) x)) (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x))) x)) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)))) (*.f64 x x))) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) x) x)) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x)) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (hypot.f64 (sqrt.f64 x) x)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) |
(/.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (sqrt.f64 x)) x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -3/8 binary64) x))) (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
2 calls:
| 9.0ms | x |
| 7.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 99.1% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (neg.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x)) x)) x) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ (+ 3/8 (/ (* (+ (* 1/4 x) 1) -1/4) x)) (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x))) x)) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)))) (*.f64 x x))) (sqrt.f64 x)) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ (+ 3/8 (/ (* (+ (* 1/4 x) 1) -1/4) x)) (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x))) x)) (sqrt.f64 x)) |
2 calls:
| 6.0ms | x |
| 4.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 99.1% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (neg.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x)) x)) x) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
2 calls:
| 9.0ms | x |
| 3.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 98.9% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (neg.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x)) x)) x) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x)) |
2 calls:
| 4.0ms | x |
| 3.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 98.8% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (neg.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x)) x)) x) #s(literal -1/2 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 98.2% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 98.1% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (sqrt.f64 x))) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.4% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 36.4% | 1 | x |
Compiled 12 to 9 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.5% | 1 | x |
| 5.5% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 217 |
| 1 | 116 | 203 |
| 2 | 221 | 203 |
| 3 | 534 | 203 |
| 4 | 1694 | 201 |
| 5 | 7072 | 201 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ (+ 3/8 (/ (* (+ (* 1/4 x) 1) -1/4) x)) (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x))) x)) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ (+ 3/8 (/ (* (+ (* 1/4 x) 1) -1/4) x)) (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x))) x)) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 499 | 2021 |
| 1 | 1660 | 1744 |
| 2 | 6755 | 1738 |
| 0 | 8035 | 1630 |
| 0 | 398 | 1672 |
| 1 | 1329 | 1399 |
| 2 | 5604 | 1397 |
| 0 | 8093 | 1311 |
| 0 | 611 | 3964 |
| 1 | 2038 | 3206 |
| 0 | 8685 | 3068 |
| 0 | 8 | 23 |
| 0 | 14 | 23 |
| 1 | 59 | 19 |
| 2 | 416 | 19 |
| 3 | 5679 | 17 |
| 0 | 8791 | 17 |
| 0 | 41 | 241 |
| 0 | 72 | 247 |
| 1 | 284 | 212 |
| 2 | 1968 | 177 |
| 0 | 9349 | 177 |
| 0 | 114 | 457 |
| 1 | 333 | 395 |
| 2 | 1237 | 369 |
| 3 | 6312 | 369 |
| 0 | 8119 | 348 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 217 to 80 computations (63.1% saved)
Compiled 474 to 190 computations (59.9% saved)
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