
Time bar (total: 8.0s)
| 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 15 to 11 computations (26.7% saved)
| 1.2s | 7 989× | 1 | valid |
| 17.0ms | 267× | 0 | valid |
ival-sqrt: 277.0ms (29.9% of total)ival-add: 160.0ms (17.3% of total)const: 146.0ms (15.8% of total)adjust: 144.0ms (15.6% of total)ival-sub: 120.0ms (13% of total)ival->: 34.0ms (3.7% of total)ival-<: 20.0ms (2.2% of total)ival-and: 12.0ms (1.3% of total)exact: 8.0ms (0.9% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 255 | 0 | - | 1 | (48.14563696366618) | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | cancellation | 254 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 254 | 1 |
| - | 0 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 254 | 1 | 0 |
| - | 0 | 0 | 1 |
| number | freq |
|---|---|
| 0 | 2 |
| 1 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 54.0ms | 490× | 1 | valid |
| 1.0ms | 22× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-sqrt: 14.0ms (42% of total)adjust: 8.0ms (24% of total)ival-add: 5.0ms (15% of total)ival-sub: 5.0ms (15% 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 | 8 | 19 |
| 1 | 11 | 19 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 13 | 7 |
| 0 | 13 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Outputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.6% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 13 | 18 |
| 0 | 13 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.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) |
| Outputs |
|---|
(-.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) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 59.145291822339274 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 24.0ms | 245× | 1 | valid |
| 1.0ms | 11× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-sqrt: 7.0ms (42.9% of total)adjust: 4.0ms (24.5% of total)ival-add: 3.0ms (18.4% of total)ival-sub: 2.0ms (12.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.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)) |
(sqrt.f64 x) |
| Outputs |
|---|
(- 1 (sqrt 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) |
(sqrt x) |
(* 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))) |
(* -1/2 (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))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (sqrt x)) |
| 1.0ms | x | @ | inf | ((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (sqrt x)) |
| 1.0ms | x | @ | 0 | ((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (sqrt x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 451 |
| 1 | 331 | 393 |
| 2 | 1209 | 387 |
| 3 | 4903 | 387 |
| 0 | 8229 | 353 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (sqrt 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) |
(sqrt x) |
(* 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))) |
(* -1/2 (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))))))) |
| Outputs |
|---|
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 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 x) |
(-.f64 x #s(literal -1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 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) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (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))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (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)))) x) |
(* 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)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (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))))) x) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 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)) |
(/.f64 (fma.f64 #s(literal -1/16 binary64) (/.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))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 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)) |
(/.f64 (fma.f64 #s(literal 5/128 binary64) (/.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))) (fma.f64 #s(literal -1/16 binary64) (/.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))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))) x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -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)))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -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))))))) |
(*.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 42 | 16 |
| 2 | 271 | 16 |
| 3 | 2932 | 16 |
| 0 | 9099 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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)) |
(sqrt.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) |
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
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(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(/.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sinh.f64 (acosh.f64 x)) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x))) |
(/.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sinh.f64 (acosh.f64 x))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (hypot.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (sinh.f64 (acosh.f64 x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(neg.f64 (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(sin.f64 (acos.f64 x)) |
(cosh.f64 (asinh.f64 x)) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(fabs.f64 (-.f64 #s(literal 1 binary64) x)) |
(cos.f64 (asin.f64 x)) |
(hypot.f64 (fabs.f64 (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(hypot.f64 (hypot.f64 (sqrt.f64 x) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (fabs.f64 (hypot.f64 (sqrt.f64 x) x))) |
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (sqrt.f64 x) x)) |
(+.f64 (cosh.f64 (log1p.f64 x)) (sinh.f64 (log1p.f64 x))) |
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
(exp.f64 (log1p.f64 x)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (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)) (neg.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 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 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 #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 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
Compiled 5 730 to 1 085 computations (81.1% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 299 | 7 | 306 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 299 | 8 | 307 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 7.6% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ▶ | 4.7% | (-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ▶ | 3.8% | (-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
| ▶ | 1.6% | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
| ▶ | 99.0% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
| 98.9% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) | |
| 98.4% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) | |
| ▶ | 97.3% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
Compiled 265 to 212 computations (20% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) | |
| cost-diff | 0 | (-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 266 |
| 0 | 59 | 266 |
| 1 | 86 | 266 |
| 2 | 168 | 266 |
| 3 | 486 | 266 |
| 4 | 1305 | 266 |
| 5 | 1887 | 266 |
| 6 | 2995 | 266 |
| 7 | 3046 | 266 |
| 8 | 3052 | 266 |
| 0 | 3052 | 266 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
x |
#s(literal 5 binary64) |
#s(literal -5/128 binary64) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 1/16 binary64) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal -1/8 binary64) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (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 |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
(fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
x |
#s(literal 5 binary64) |
#s(literal -5/128 binary64) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 1/16 binary64) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.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 (sqrt.f64 x) #s(literal 1/2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal -1/8 binary64) |
(*.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) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.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)) |
(*.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 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) | |
| accuracy | 0.1015625 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 1.6147438284905902 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 1.6762088736630065 | #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) | |
| accuracy | 59.145291822339274 | (-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 59.145291822339274 | (-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| accuracy | 59.416302016794084 | #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 59.145291822339274 | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| accuracy | 59.43845721742488 | #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) | |
| accuracy | 0.4536756840891317 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.6819919104209876 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) | |
| accuracy | 11.210222970417718 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) | |
| accuracy | 23.378486144361325 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
| 118.0ms | 245× | 1 | valid |
| 2.0ms | 11× | 0 | valid |
Compiled 222 to 33 computations (85.1% saved)
ival-sub: 25.0ms (26.9% of total)adjust: 18.0ms (19.4% of total)ival-mult: 14.0ms (15.1% of total)ival-sqrt: 12.0ms (12.9% of total)ival-add: 10.0ms (10.8% of total)ival-div: 8.0ms (8.6% of total)ival-pow: 5.0ms (5.4% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) |
(sqrt.f64 x) |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (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) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
| Outputs |
|---|
(- 1 (sqrt 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)) |
(* -5/128 (sqrt (/ 1 (pow x 7)))) |
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)) |
(* -5/128 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3)) |
(sqrt (/ 1 (pow x 5))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt x) |
(* 1/2 (sqrt (/ 1 x))) |
(sqrt (/ 1 x)) |
(/ 1 x) |
(sqrt (/ 1 (pow x 3))) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 3)) |
(/ (+ (* -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)))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) |
(* 1/2 (sqrt x)) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 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)))))))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 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)) |
(* -1/2 (* (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 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)) |
(* -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))))))) |
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | x | @ | inf | ((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (sqrt (/ 1 (pow x 5))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 5)) (/ 1 (pow x 3))) |
| 4.0ms | x | @ | -inf | ((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (sqrt (/ 1 (pow x 5))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 5)) (/ 1 (pow x 3))) |
| 3.0ms | x | @ | 0 | ((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (sqrt (/ 1 (pow x 5))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 5)) (/ 1 (pow x 3))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 1074 |
| 1 | 634 | 913 |
| 2 | 2890 | 899 |
| 0 | 8390 | 828 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (sqrt 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)) |
(* -5/128 (sqrt (/ 1 (pow x 7)))) |
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)) |
(* -5/128 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3)) |
(sqrt (/ 1 (pow x 5))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt x) |
(* 1/2 (sqrt (/ 1 x))) |
(sqrt (/ 1 x)) |
(/ 1 x) |
(sqrt (/ 1 (pow x 3))) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 3)) |
(/ (+ (* -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)))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) |
(* 1/2 (sqrt x)) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 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)))))))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 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)) |
(* -1/2 (* (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 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)) |
(* -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))))))) |
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 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))) |
(* -5/128 (sqrt (/ 1 (pow x 7)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -5/128 binary64)) |
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* -5/128 (sqrt (/ 1 (pow x 5)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64)) |
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3)) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3)) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 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)))) |
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)) |
(sqrt x) |
(sqrt.f64 x) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 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) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64)))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64))))) |
(* 1/2 (sqrt x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64)))) x) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (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))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (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)))) x) |
(* 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)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (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))))) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 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)) |
(/.f64 (fma.f64 #s(literal -1/16 binary64) (/.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))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 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)) |
(/.f64 (fma.f64 #s(literal 5/128 binary64) (/.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))) (fma.f64 #s(literal -1/16 binary64) (/.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))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))) x) |
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(+ (* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (/.f64 (fma.f64 #s(literal 5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))) x)) x)) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64))) x)) x) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (/.f64 (fma.f64 #s(literal 5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))) x)) x)) x) |
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -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)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -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))))))) |
(*.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 198 |
| 0 | 59 | 178 |
| 1 | 229 | 162 |
| 2 | 1642 | 162 |
| 0 | 8876 | 159 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) |
(sqrt.f64 x) |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (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) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (-.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) (-.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))) |
(*.f64 (/.f64 (fma.f64 #s(literal 25/16384 binary64) (pow.f64 x #s(literal -5 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))))) (fma.f64 #s(literal 25/16384 binary64) (pow.f64 x #s(literal -5 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))))))) (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x) (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x) (-.f64 (*.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.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 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) #s(literal 3 binary64)) (*.f64 #s(literal -125/2097152 binary64) (pow.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -125/2097152 binary64) (pow.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))) x (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))) (neg.f64 (*.f64 x x))) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (*.f64 x x)) |
(/.f64 (fma.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))))) (*.f64 x x)) |
(/.f64 (fma.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x (*.f64 (neg.f64 x) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (neg.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) (neg.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) (neg.f64 x))) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) x (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal -9/2 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (neg.f64 x) (*.f64 (*.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal -3 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))))) x) (neg.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))))) (*.f64 (*.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal -3 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))))) x) (neg.f64 x))) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal -9/2 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) x (*.f64 (*.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal -3 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))))) x) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal -3 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))))) x) x)) |
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x) (*.f64 x (neg.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))))) (*.f64 x (neg.f64 x))) |
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (*.f64 x (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))))) (*.f64 x x)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))) (*.f64 x x)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(sqrt.f64 (/.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 x #s(literal -5 binary64)))) |
(-.f64 (cosh.f64 (*.f64 #s(literal -5 binary64) (log.f64 x))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))) |
(+.f64 (cosh.f64 (*.f64 #s(literal -5 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)))) |
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 5/2 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal -5 binary64) (log.f64 x))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) x)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -3/4 binary64)) x) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (sqrt.f64 x))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -3 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) |
(pow.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -3/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -6 binary64)) |
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -3 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 x x))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(/.f64 (pow.f64 x #s(literal -2 binary64)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(sqrt.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) |
(-.f64 (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(+.f64 (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))) |
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) |
Compiled 29 649 to 3 195 computations (89.2% saved)
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 677 | 9 | 686 |
| Fresh | 0 | 2 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 680 | 14 | 694 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 7.6% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ▶ | 4.7% | (-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
| ✓ | 1.6% | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
| ▶ | 99.0% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))) |
| 71.9% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) | |
| 98.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (+.f64 (cosh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x))))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) | |
| 98.9% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) | |
| 98.4% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) | |
| ▶ | 97.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
| 97.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) | |
| ▶ | 99.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x))) |
| ✓ | 97.3% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
| ▶ | 98.6% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
| 26.8% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
Compiled 802 to 604 computations (24.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) | |
| cost-diff | 0 | (pow.f64 x #s(literal -7/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) | |
| cost-diff | 0 | (-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x))) | |
| cost-diff | 3 | (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 537 |
| 0 | 96 | 533 |
| 1 | 154 | 533 |
| 2 | 314 | 533 |
| 3 | 871 | 533 |
| 4 | 2391 | 533 |
| 5 | 3583 | 533 |
| 6 | 4971 | 533 |
| 7 | 5362 | 533 |
| 8 | 5502 | 533 |
| 9 | 5629 | 533 |
| 10 | 5652 | 533 |
| 11 | 5732 | 533 |
| 12 | 5809 | 533 |
| 13 | 5823 | 533 |
| 14 | 5831 | 533 |
| 15 | 5839 | 533 |
| 0 | 5839 | 513 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x))) |
(+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x)) |
(/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) |
(fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
#s(literal 1/16 binary64) |
(pow.f64 x #s(literal -3/2 binary64)) |
x |
#s(literal -3/2 binary64) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
#s(literal -1/8 binary64) |
(sqrt.f64 x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x) |
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))) |
#s(literal -5/128 binary64) |
(pow.f64 x #s(literal -5/2 binary64)) |
#s(literal -5/2 binary64) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(sqrt.f64 x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
#s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (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 |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
#s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -1/8 binary64) |
(*.f64 (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 1/2 binary64) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))) |
(fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
(pow.f64 x #s(literal -7/2 binary64)) |
x |
#s(literal -7/2 binary64) |
#s(literal -5/128 binary64) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) |
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(sqrt.f64 x) |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
#s(literal 1/16 binary64) |
(pow.f64 x #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
#s(literal -1/8 binary64) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)) |
(+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x) |
(/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) |
(fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
#s(literal 1/16 binary64) |
(pow.f64 x #s(literal -3/2 binary64)) |
x |
#s(literal -3/2 binary64) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
#s(literal -1/8 binary64) |
(sqrt.f64 x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) x) |
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) |
#s(literal -5/128 binary64) |
(pow.f64 x #s(literal -5/2 binary64)) |
#s(literal -5/2 binary64) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(sqrt.f64 x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
#s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (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 |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
#s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -1/8 binary64) |
(*.f64 (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 1/2 binary64) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))) |
(fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
(fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
(pow.f64 x #s(literal -7/2 binary64)) |
x |
#s(literal -7/2 binary64) |
#s(literal -5/128 binary64) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) |
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(sqrt.f64 x) |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
#s(literal 1/16 binary64) |
(pow.f64 x #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
#s(literal -1/8 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) | |
| accuracy | 0.25 | (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) | |
| accuracy | 0.28125 | (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) | |
| accuracy | 0.3276181414769449 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))) | |
| accuracy | 0.3276181414769449 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) | |
| accuracy | 0.4536756840891317 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.758880644159091 | #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) | |
| accuracy | 23.378486144361325 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.28125 | (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) | |
| accuracy | 0.3276181414769449 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) | |
| accuracy | 1.609924856412155 | #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 1.8164448974204204 | #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 59.145291822339274 | (-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) | |
| accuracy | 59.416302016794084 | #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) | |
| accuracy | 0.16796875 | (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) | |
| accuracy | 0.25 | (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) | |
| accuracy | 0.27734375 | (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x) | |
| accuracy | 0.3276181414769449 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x))) |
| 244.0ms | 245× | 1 | valid |
| 4.0ms | 11× | 0 | valid |
Compiled 376 to 54 computations (85.6% saved)
ival-div: 52.0ms (29.1% of total)ival-pow: 39.0ms (21.8% of total)adjust: 25.0ms (14% of total)ival-add: 22.0ms (12.3% of total)ival-mult: 22.0ms (12.3% of total)ival-sqrt: 14.0ms (7.8% of total)ival-sub: 2.0ms (1.1% 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 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x))) |
(/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) |
(fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
#s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
#s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))) |
(fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
(pow.f64 x #s(literal -7/2 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
| Outputs |
|---|
(* -5/128 (sqrt (/ 1 (pow x 7)))) |
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)) |
(- 1 (sqrt 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)) |
(* 1/16 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3)) |
(* 1/16 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(* 1/2 x) |
(* -5/128 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3)) |
(* 1/2 (sqrt x)) |
(* -1/8 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 7))) |
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3)) |
(/ (+ (* -5/128 (sqrt x)) (* 1/2 (sqrt (pow x 7)))) (pow x 4)) |
(* -1/8 (sqrt (/ 1 x))) |
(sqrt x) |
(/ 1 (pow x 3)) |
(* 1/2 (sqrt (/ 1 x))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 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) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))) x) |
(+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))) |
(* 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 (+ 1/2 (/ 1 x))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
(+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 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))))) |
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -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 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) |
(+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(* -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))))))) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 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))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | -inf | ((+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (* 1/2 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (+ (* (sqrt (/ 1 (pow x 3))) -1/8) (* (sqrt (/ 1 x)) 1/2)) (sqrt (/ 1 (pow x 3))) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (pow x -7/2) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x) (/ -1/8 (sqrt x)) (sqrt x) (/ 1 (pow x 3))) |
| 5.0ms | x | @ | 0 | ((+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (* 1/2 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (+ (* (sqrt (/ 1 (pow x 3))) -1/8) (* (sqrt (/ 1 x)) 1/2)) (sqrt (/ 1 (pow x 3))) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (pow x -7/2) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x) (/ -1/8 (sqrt x)) (sqrt x) (/ 1 (pow x 3))) |
| 4.0ms | x | @ | inf | ((+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (* 1/2 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (+ (* (sqrt (/ 1 (pow x 3))) -1/8) (* (sqrt (/ 1 x)) 1/2)) (sqrt (/ 1 (pow x 3))) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (pow x -7/2) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x) (/ -1/8 (sqrt x)) (sqrt x) (/ 1 (pow x 3))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 1439 |
| 1 | 739 | 1220 |
| 2 | 3392 | 1210 |
| 0 | 8453 | 1118 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -5/128 (sqrt (/ 1 (pow x 7)))) |
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)) |
(- 1 (sqrt 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)) |
(* 1/16 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3)) |
(* 1/16 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(* 1/2 x) |
(* -5/128 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3)) |
(* 1/2 (sqrt x)) |
(* -1/8 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 7))) |
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3)) |
(/ (+ (* -5/128 (sqrt x)) (* 1/2 (sqrt (pow x 7)))) (pow x 4)) |
(* -1/8 (sqrt (/ 1 x))) |
(sqrt x) |
(/ 1 (pow x 3)) |
(* 1/2 (sqrt (/ 1 x))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 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) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))) x) |
(+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))) |
(* 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 (+ 1/2 (/ 1 x))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
(+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 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))))) |
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -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 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) |
(+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(* -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))))))) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 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))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2)))) |
| Outputs |
|---|
(* -5/128 (sqrt (/ 1 (pow x 7)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -5/128 binary64)) |
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 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))) |
(* 1/16 (sqrt (/ 1 (pow x 5)))) |
(*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
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(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) x)) |
(* -1 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal 5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 443 |
| 0 | 96 | 411 |
| 1 | 386 | 371 |
| 2 | 3091 | 364 |
| 0 | 11059 | 350 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x))) |
(/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) |
(fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
#s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
#s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))) |
(fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
(pow.f64 x #s(literal -7/2 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
| Outputs |
|---|
(/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (*.f64 x x)) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64)))) #s(literal 2 binary64))) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64)))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64)))) #s(literal 2 binary64))) (fma.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64))))) (*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64)))) #s(literal 2 binary64))))) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64))))))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64))))))) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64)))) #s(literal 3 binary64))))) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64))))))))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))))) (*.f64 (neg.f64 x) (neg.f64 (neg.f64 x)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) (*.f64 x (neg.f64 x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (neg.f64 x) (*.f64 x (neg.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))))) (*.f64 (neg.f64 x) (*.f64 x (neg.f64 x)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) (*.f64 x x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64))))) (*.f64 (neg.f64 x) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/4 binary64) x) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64))))) (*.f64 (neg.f64 x) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) (*.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64))))) x) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal -9/2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))) (*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64))))) x))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/4 binary64) x)) x) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))) (*.f64 (neg.f64 x) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/4 binary64) x)) x))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))) (*.f64 x x)) |
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(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 x)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -7/4 binary64))) (pow.f64 x #s(literal -7/4 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(fma.f64 (pow.f64 x #s(literal -7/4 binary64)) (*.f64 (pow.f64 x #s(literal -7/4 binary64)) #s(literal -5/128 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.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 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64))) |
(fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (/.f64 #s(literal -5/128 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -7/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64))) |
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))) x)) |
(+.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64)) |
(*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal -1/8 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
(neg.f64 (/.f64 #s(literal 1/8 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 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(fabs.f64 (neg.f64 (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 (log.f64 (sqrt.f64 x))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -3 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) |
(pow.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -6 binary64)) |
(pow.f64 x #s(literal -3 binary64)) |
(/.f64 (pow.f64 x #s(literal -2 binary64)) x) |
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(sqrt.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) |
(-.f64 (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(+.f64 (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))) |
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal -3/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) |
Compiled 38 661 to 3 575 computations (90.8% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 789 | 3 | 792 |
| Fresh | 0 | 6 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 792 | 14 | 806 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 7.6% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | 4.7% | (-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
| ✓ | 1.6% | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
| ▶ | 71.9% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
| 98.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (+.f64 (cosh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x))))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) | |
| 98.9% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) | |
| 98.4% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) | |
| ✓ | 97.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
| ▶ | 97.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
| ✓ | 97.3% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
| 26.8% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 4 binary64))))) | |
| ▶ | 72.7% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))))) |
| ▶ | 99.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)))) |
| ▶ | 99.3% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) x)))) |
Compiled 867 to 628 computations (27.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) | |
| cost-diff | 2 | (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) | |
| cost-diff | 8 | (+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x))) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)))) | |
| cost-diff | 2 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)) | |
| cost-diff | 1 | (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) | |
| cost-diff | 1 | (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) | |
| cost-diff | 2 | (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))) | |
| cost-diff | 6 | (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) | |
| 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 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) x)) | |
| cost-diff | 0 | #s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) x))) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) x)))) | |
| cost-diff | 2 | (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 860 |
| 0 | 142 | 811 |
| 1 | 267 | 790 |
| 2 | 644 | 743 |
| 3 | 2515 | 743 |
| 0 | 8624 | 718 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) x)))) |
#s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) x) |
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) |
#s(literal -1/8 binary64) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) |
#s(literal 1/16 binary64) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -5/128 binary64) |
#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 |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))))) |
#s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x)))) |
(/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))) |
(fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
#s(literal -1/8 binary64) |
(sqrt.f64 x) |
x |
(*.f64 (neg.f64 x) #s(literal 1/2 binary64)) |
(neg.f64 x) |
#s(literal 1/2 binary64) |
(*.f64 (neg.f64 x) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)))) |
#s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x) |
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
#s(literal -1/8 binary64) |
(*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
#s(literal 1/16 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
x |
#s(literal 5 binary64) |
#s(literal -5/128 binary64) |
(fma.f64 (+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) |
(cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -3 binary64) (log.f64 x)) |
#s(literal -3 binary64) |
(log.f64 x) |
#s(literal 1/2 binary64) |
(sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) |
#s(literal 1/16 binary64) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal -1/8 binary64) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -5/128 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))) x)))) |
#s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) x))) |
#s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -5/128 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))) x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) x)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -5/128 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))) x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -5/128 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))) x) |
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) |
(fma.f64 (/.f64 #s(literal -5/128 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))) |
#s(literal -1/8 binary64) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))) |
#s(literal 1/16 binary64) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -5/128 binary64) |
#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 |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x)))) |
#s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x)))) |
#s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x))) |
(/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))) |
(/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x)) |
(fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)) |
(neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
#s(literal -1/8 binary64) |
(sqrt.f64 x) |
x |
(*.f64 (neg.f64 x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) x) |
(neg.f64 x) |
#s(literal 1/2 binary64) |
(*.f64 (neg.f64 x) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (/.f64 #s(literal 1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)))))) |
#s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x))) |
#s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (/.f64 #s(literal 1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)) |
(fma.f64 (/.f64 #s(literal 1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/8 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 |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))) x) |
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))) |
#s(literal -1/8 binary64) |
(*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64)) |
#s(literal 1/16 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64))))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64))))) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
x |
#s(literal 5 binary64) |
#s(literal -5/128 binary64) |
(fma.f64 (+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) |
(pow.f64 x #s(literal -3/2 binary64)) |
(cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) |
(cosh.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x))) |
(*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 (log.f64 x) #s(literal -3/2 binary64)) |
(*.f64 #s(literal -3 binary64) (log.f64 x)) |
(*.f64 (log.f64 x) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(log.f64 x) |
#s(literal 1/2 binary64) |
(sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) |
(sinh.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64))) |
#s(literal 1/16 binary64) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.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))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal -1/8 binary64) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.273385418191399 | (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) | |
| accuracy | 4.285492979416207 | (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) | |
| accuracy | 11.210222970417718 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) | |
| accuracy | 60.29065552999543 | (+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) | |
| accuracy | 0.3276181414769449 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)))) | |
| accuracy | 0.44309962744168485 | #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x))) | |
| accuracy | 0.4536756840891317 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 23.378486144361325 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0.25 | (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) | |
| accuracy | 0.3276181414769449 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))))) | |
| accuracy | 0.758880644159091 | #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x)))) | |
| accuracy | 16.658567838160774 | (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.25 | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) | |
| accuracy | 1.6147438284905902 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) | |
| accuracy | 0.20703125 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64)) | |
| accuracy | 0.3276181414769449 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) x)))) | |
| accuracy | 0.4536756840891317 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 23.378486144361325 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
| 484.0ms | 251× | 1 | valid |
| 7.0ms | 5× | 0 | valid |
Compiled 617 to 81 computations (86.9% saved)
ival-sinh: 62.0ms (15.5% of total)ival-div: 56.0ms (14% of total)ival-cosh: 52.0ms (13% of total)ival-mult: 50.0ms (12.5% of total)ival-add: 50.0ms (12.5% of total)adjust: 42.0ms (10.5% of total)ival-log: 35.0ms (8.7% of total)ival-pow: 26.0ms (6.5% of total)ival-sqrt: 16.0ms (4% of total)ival-neg: 5.0ms (1.2% of total)ival-sub: 3.0ms (0.7% of total)exact: 2.0ms (0.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) x)))) |
#s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) 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)) |
(sqrt.f64 x) |
(fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))) |
(neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(*.f64 (neg.f64 x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)))) |
#s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64)) |
#s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))))) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) |
(cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(* -5/128 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3)) |
(- 1 (sqrt 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)) |
(* -5/128 (sqrt (/ 1 (pow x 7)))) |
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)) |
(* 1/2 (sqrt (/ 1 x))) |
(sqrt x) |
1/8 |
(+ 1/8 (* -1/2 x)) |
(* -1/8 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)) |
(* 1/8 (sqrt (/ 1 x))) |
(* -1/2 x) |
(* 1/16 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3)) |
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3)) |
(sqrt (/ 1 x)) |
(+ (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (sqrt (pow x 3)))) (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (pow x 3)))))) |
(* -3/2 (log x)) |
(/ (+ (* -1/8 (sqrt (pow x 5))) (* -5/128 (sqrt x))) (pow x 4)) |
(/ (+ (* -5/128 (sqrt x)) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* x (+ (* 1/16 (+ (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (sqrt (pow x 3)))) (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (pow x 3))))))) (* 1/2 (sqrt x))))))) (pow x 4)) |
(sqrt (/ 1 (pow x 3))) |
(/ 1 (pow x 3)) |
(* -5/128 (sqrt (/ 1 (pow x 3)))) |
(* -1/8 (sqrt (/ 1 x))) |
(sqrt (/ 1 (pow x 5))) |
(* 1/2 (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (pow x 3))))) |
(* 1/2 (+ (sqrt (/ 1 (pow x 3))) (sqrt (pow x 3)))) |
(+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))) |
(+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
(/ (+ (* -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)))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) |
(* x (- (* 1/8 (/ 1 x)) 1/2)) |
(* 3/2 (log (/ 1 x))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (/ (+ (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (sqrt (pow x 3)))) (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (pow x 3)))))) x)) (* 1/2 (sqrt (/ 1 x))))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (/ (+ (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (sqrt (pow x 3)))) (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (pow x 3)))))) x)) (* 1/2 (sqrt (/ 1 x)))))) |
(* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (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))))) |
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 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))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- 1/2 (* 1/8 (/ 1 x))))) |
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* 1/2 (+ (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))))))) (* 1/2 (- (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))))))) |
(* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (/ (+ (* 1/2 (+ (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))))))) (* 1/2 (- (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)))) |
(+ (* -1 (/ (+ (* -1 (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (+ (* 1/2 (+ (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))))))) (* 1/2 (- (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))))))))))) (* 5/128 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* 5/128 (* (sqrt (/ 1 (pow x 3))) (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 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)) |
(* 1/2 (- (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))))))) |
(* 1/2 (+ (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 42.0ms | x | @ | 0 | ((+ (* -1/8 (sqrt (/ 1 x))) (/ (+ (* (sqrt (/ 1 x)) 1/16) (* (sqrt (/ 1 (pow x 3))) -5/128)) x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (+ (* (sqrt (/ 1 x)) 1/2) (/ (+ (* -1/8 (sqrt (/ 1 x))) (/ (+ (* (sqrt (/ 1 x)) 1/16) (* (sqrt (/ 1 (pow x 3))) -5/128)) x)) x)) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (sqrt x) (+ (* (neg (/ -1/8 (sqrt x))) (sqrt x)) (* (neg x) 1/2)) (/ (+ (* (neg (/ -1/8 (sqrt x))) (sqrt x)) (* (neg x) 1/2)) (* (neg x) (sqrt x))) (neg (/ -1/8 (sqrt x))) (* (neg x) 1/2) (+ (* (sqrt (/ 1 x)) 1/2) (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))) x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (sqrt (/ 1 x)) (+ (cosh (* (* -3 (log x)) 1/2)) (sinh (* (* -3 (log x)) 1/2))) (* (* -3 (log x)) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (+ (cosh (* (* -3 (log x)) 1/2)) (sinh (* (* -3 (log x)) 1/2))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (* (sqrt (/ 1 (pow x 3))) -5/128) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (- (sqrt (+ x 1)) (sqrt x)) (/ -1/8 (sqrt x)) (sqrt (/ 1 (pow x 5))) (sinh (* (* -3 (log x)) 1/2)) (cosh (* (* -3 (log x)) 1/2))) |
| 30.0ms | x | @ | -inf | ((+ (* -1/8 (sqrt (/ 1 x))) (/ (+ (* (sqrt (/ 1 x)) 1/16) (* (sqrt (/ 1 (pow x 3))) -5/128)) x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (+ (* (sqrt (/ 1 x)) 1/2) (/ (+ (* -1/8 (sqrt (/ 1 x))) (/ (+ (* (sqrt (/ 1 x)) 1/16) (* (sqrt (/ 1 (pow x 3))) -5/128)) x)) x)) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (sqrt x) (+ (* (neg (/ -1/8 (sqrt x))) (sqrt x)) (* (neg x) 1/2)) (/ (+ (* (neg (/ -1/8 (sqrt x))) (sqrt x)) (* (neg x) 1/2)) (* (neg x) (sqrt x))) (neg (/ -1/8 (sqrt x))) (* (neg x) 1/2) (+ (* (sqrt (/ 1 x)) 1/2) (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))) x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (sqrt (/ 1 x)) (+ (cosh (* (* -3 (log x)) 1/2)) (sinh (* (* -3 (log x)) 1/2))) (* (* -3 (log x)) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (+ (cosh (* (* -3 (log x)) 1/2)) (sinh (* (* -3 (log x)) 1/2))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (* (sqrt (/ 1 (pow x 3))) -5/128) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (- (sqrt (+ x 1)) (sqrt x)) (/ -1/8 (sqrt x)) (sqrt (/ 1 (pow x 5))) (sinh (* (* -3 (log x)) 1/2)) (cosh (* (* -3 (log x)) 1/2))) |
| 11.0ms | x | @ | inf | ((+ (* -1/8 (sqrt (/ 1 x))) (/ (+ (* (sqrt (/ 1 x)) 1/16) (* (sqrt (/ 1 (pow x 3))) -5/128)) x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (+ (* (sqrt (/ 1 x)) 1/2) (/ (+ (* -1/8 (sqrt (/ 1 x))) (/ (+ (* (sqrt (/ 1 x)) 1/16) (* (sqrt (/ 1 (pow x 3))) -5/128)) x)) x)) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (sqrt x) (+ (* (neg (/ -1/8 (sqrt x))) (sqrt x)) (* (neg x) 1/2)) (/ (+ (* (neg (/ -1/8 (sqrt x))) (sqrt x)) (* (neg x) 1/2)) (* (neg x) (sqrt x))) (neg (/ -1/8 (sqrt x))) (* (neg x) 1/2) (+ (* (sqrt (/ 1 x)) 1/2) (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))) x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (sqrt (/ 1 x)) (+ (cosh (* (* -3 (log x)) 1/2)) (sinh (* (* -3 (log x)) 1/2))) (* (* -3 (log x)) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (+ (cosh (* (* -3 (log x)) 1/2)) (sinh (* (* -3 (log x)) 1/2))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (* (sqrt (/ 1 (pow x 3))) -5/128) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (- (sqrt (+ x 1)) (sqrt x)) (/ -1/8 (sqrt x)) (sqrt (/ 1 (pow x 5))) (sinh (* (* -3 (log x)) 1/2)) (cosh (* (* -3 (log x)) 1/2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 244 | 1662 |
| 1 | 769 | 1381 |
| 2 | 3433 | 1363 |
| 0 | 8443 | 1277 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -5/128 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3)) |
(- 1 (sqrt 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)) |
(* -5/128 (sqrt (/ 1 (pow x 7)))) |
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)) |
(* 1/2 (sqrt (/ 1 x))) |
(sqrt x) |
1/8 |
(+ 1/8 (* -1/2 x)) |
(* -1/8 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)) |
(* 1/8 (sqrt (/ 1 x))) |
(* -1/2 x) |
(* 1/16 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3)) |
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3)) |
(sqrt (/ 1 x)) |
(+ (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (sqrt (pow x 3)))) (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (pow x 3)))))) |
(* -3/2 (log x)) |
(/ (+ (* -1/8 (sqrt (pow x 5))) (* -5/128 (sqrt x))) (pow x 4)) |
(/ (+ (* -5/128 (sqrt x)) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* x (+ (* 1/16 (+ (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (sqrt (pow x 3)))) (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (pow x 3))))))) (* 1/2 (sqrt x))))))) (pow x 4)) |
(sqrt (/ 1 (pow x 3))) |
(/ 1 (pow x 3)) |
(* -5/128 (sqrt (/ 1 (pow x 3)))) |
(* -1/8 (sqrt (/ 1 x))) |
(sqrt (/ 1 (pow x 5))) |
(* 1/2 (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (pow x 3))))) |
(* 1/2 (+ (sqrt (/ 1 (pow x 3))) (sqrt (pow x 3)))) |
(+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))) |
(+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
(/ (+ (* -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)))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) |
(* x (- (* 1/8 (/ 1 x)) 1/2)) |
(* 3/2 (log (/ 1 x))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (/ (+ (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (sqrt (pow x 3)))) (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (pow x 3)))))) x)) (* 1/2 (sqrt (/ 1 x))))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (/ (+ (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (sqrt (pow x 3)))) (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (pow x 3)))))) x)) (* 1/2 (sqrt (/ 1 x)))))) |
(* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (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))))) |
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 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))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- 1/2 (* 1/8 (/ 1 x))))) |
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* 1/2 (+ (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))))))) (* 1/2 (- (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))))))) |
(* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (/ (+ (* 1/2 (+ (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))))))) (* 1/2 (- (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)))) |
(+ (* -1 (/ (+ (* -1 (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (+ (* 1/2 (+ (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))))))) (* 1/2 (- (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))))))))))) (* 5/128 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* 5/128 (* (sqrt (/ 1 (pow x 3))) (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 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)) |
(* 1/2 (- (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))))))) |
(* 1/2 (+ (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))))))) |
| Outputs |
|---|
(* -5/128 (sqrt (/ 1 (pow x 5)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64)) |
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 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))) |
(* -5/128 (sqrt (/ 1 (pow x 7)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -5/128 binary64)) |
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)) |
(* -1/8 (sqrt (/ 1 (pow x 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64)) |
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(* 1/8 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* 1/16 (sqrt (/ 1 (pow x 5)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64)) |
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3)) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3)) |
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (sqrt (pow x 3)))) (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (pow x 3)))))) |
(*.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 3 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 3 binary64))))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(* -3/2 (log x)) |
(*.f64 (log.f64 x) #s(literal -3/2 binary64)) |
(/ (+ (* -1/8 (sqrt (pow x 5))) (* -5/128 (sqrt x))) (pow x 4)) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* -5/128 (sqrt x)) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* x (+ (* 1/16 (+ (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (sqrt (pow x 3)))) (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (pow x 3))))))) (* 1/2 (sqrt x))))))) (pow x 4)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/32 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 3 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 3 binary64))))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)))) (*.f64 x x) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -5/128 (sqrt (/ 1 (pow x 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64)) |
(* -1/8 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)) |
(sqrt (/ 1 (pow x 5))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* 1/2 (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (pow x 3))))) |
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(* 1/2 (+ (sqrt (/ 1 (pow x 3))) (sqrt (pow x 3)))) |
(*.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64)) |
(+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64))) |
(+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64)))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 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) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64)))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64))))) |
(* x (- (* 1/8 (/ 1 x)) 1/2)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x) |
(* 3/2 (log (/ 1 x))) |
(*.f64 (log.f64 x) #s(literal -3/2 binary64)) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (/ (+ (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (sqrt (pow x 3)))) (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (pow x 3)))))) x)) (* 1/2 (sqrt (/ 1 x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/32 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 3 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 3 binary64))))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (/ (+ (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (sqrt (pow x 3)))) (* 1/2 (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (pow x 3)))))) x)) (* 1/2 (sqrt (/ 1 x)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/32 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 3 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 3 binary64))))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)))) |
(* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -1/16 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 -5/128 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 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)) |
(/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64))) |
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) 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))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -1/16 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 -5/128 binary64))) x)) x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (- 1/2 (* 1/8 (/ 1 x))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) |
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal 1/8 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 1/16 binary64))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 #s(literal 5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* 1/2 (+ (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))))))) (* 1/2 (- (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))))))) |
(*.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -3/2 binary64)) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -3/2 binary64)) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 1/2 binary64)) |
(* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -3/2 binary64)) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (/ (+ (* 1/2 (+ (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))))))) (* 1/2 (- (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/32 binary64) (-.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -3/2 binary64)) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -3/2 binary64)) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x))) |
(+ (* -1 (/ (+ (* -1 (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (+ (* 1/2 (+ (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))))))) (* 1/2 (- (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))))))))))) (* 5/128 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/32 binary64) (-.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -3/2 binary64)) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -3/2 binary64)) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64)) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 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 1/16 binary64))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 #s(literal 5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)) x)) |
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(* 1/2 (- (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))))))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -3/2 binary64))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (exp (* -3/2 (+ (log -1) (* -1 (log (/ -1 x))))))))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -3/2 binary64)) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 607 |
| 0 | 142 | 537 |
| 1 | 581 | 466 |
| 2 | 4871 | 454 |
| 0 | 8225 | 421 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) x)))) |
#s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) 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)) |
(sqrt.f64 x) |
(fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))) |
(neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(*.f64 (neg.f64 x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)))) |
#s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64)) |
#s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))))) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) |
(cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (pow.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/64 binary64) x)))) |
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(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(-.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -3 binary64))) |
(*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -5/128 binary64)) |
(/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 3/2 binary64))) |
#s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal 3/2 binary64))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal 3/2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64)) |
(*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal -1/8 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
(neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal -5/4 binary64)) (pow.f64 (fabs.f64 x) #s(literal -5/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -5/4 binary64)) (pow.f64 (neg.f64 x) #s(literal -5/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal -5/2 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal -5/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -5/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -5/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -5/2 binary64)) (pow.f64 x #s(literal -5/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -5/4 binary64))) (neg.f64 (pow.f64 x #s(literal -5/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -5/4 binary64))) (fabs.f64 (pow.f64 x #s(literal -5/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal -5/4 binary64))) |
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -5/2 binary64))) |
(pow.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 x #s(literal -5 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal -5/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 x #s(literal -5/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -5/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -5/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -5 binary64)) |
(pow.f64 x #s(literal -5/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) x) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/2 binary64))) |
(sqrt.f64 (pow.f64 x #s(literal -5 binary64))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -5/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -5/2 binary64)))) |
(exp.f64 (neg.f64 (/.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal 2 binary64)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 5/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -5/4 binary64) (*.f64 (log.f64 x) #s(literal -5/4 binary64)))) |
(exp.f64 (/.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (/.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5/2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -5/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -5/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -5/4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -5/2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(sinh.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 x #s(literal -3/2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) |
(cosh.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(cosh.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
Compiled 43 565 to 4 451 computations (89.8% saved)
14 alts after pruning (8 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 792 | 6 | 798 |
| Fresh | 2 | 2 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 5 | 5 |
| Total | 798 | 14 | 812 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 7.6% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | 4.7% | (-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
| ✓ | 1.6% | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
| 6.2% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64))) (fma.f64 (sqrt.f64 x) x (pow.f64 x #s(literal -3/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) | |
| 98.4% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) | |
| ✓ | 97.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
| ✓ | 97.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
| ✓ | 97.3% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
| 97.0% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x))) | |
| 26.8% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 4 binary64))))) | |
| 72.7% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 #s(approx (+ (* (neg (/ -1/8 (sqrt x))) (sqrt x)) (* (neg x) 1/2)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))))) | |
| 51.0% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 x x)))) | |
| 98.9% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))) | |
| 99.3% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -5/128 binary64))) x)) x)))) |
Compiled 1 412 to 561 computations (60.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 #s(approx (+ (* (neg (/ -1/8 (sqrt x))) (sqrt x)) (* (neg x) 1/2)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 x x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -5/128 binary64))) x)) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64))) x)) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64))) (fma.f64 (sqrt.f64 x) x (pow.f64 x #s(literal -3/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (+.f64 (cosh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x))))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -5/128 binary64))) x)) x)))) |
2 calls:
| 9.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 #s(approx (+ (* (neg (/ -1/8 (sqrt x))) (sqrt x)) (* (neg x) 1/2)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 x x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 #s(approx (+ (* (neg (/ -1/8 (sqrt x))) (sqrt x)) (* (neg x) 1/2)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 x x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
2 calls:
| 5.0ms | x |
| 4.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | x |
| 98.9% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 #s(approx (+ (* (neg (/ -1/8 (sqrt x))) (sqrt x)) (* (neg x) 1/2)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))) |
2 calls:
| 10.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | x |
| 98.9% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 #s(approx (+ (* (neg (/ -1/8 (sqrt x))) (sqrt x)) (* (neg x) 1/2)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
2 calls:
| 4.0ms | x |
| 3.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | x |
| 98.6% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 #s(approx (+ (* (neg (/ -1/8 (sqrt x))) (sqrt x)) (* (neg x) 1/2)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
2 calls:
| 14.0ms | x |
| 3.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | x |
| 98.4% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 #s(approx (+ (* (neg (/ -1/8 (sqrt x))) (sqrt x)) (* (neg x) 1/2)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
2 calls:
| 3.0ms | x |
| 3.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 1 | x |
| 97.3% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | x |
| 97.1% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Outputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
2 calls:
| 2.0ms | x |
| 1.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.7% | 1 | x |
| 4.7% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
| Outputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.6% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 1.6% | 1 | x |
Compiled 8 to 7 computations (12.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 314 |
| 1 | 151 | 314 |
| 2 | 308 | 314 |
| 3 | 802 | 314 |
| 4 | 1890 | 314 |
| 5 | 3022 | 314 |
| 6 | 3771 | 314 |
| 7 | 4193 | 314 |
| 8 | 4393 | 314 |
| 9 | 4594 | 314 |
| 10 | 4734 | 314 |
| 11 | 5061 | 314 |
| 12 | 5132 | 314 |
| 13 | 5147 | 314 |
| 14 | 5155 | 314 |
| 15 | 5159 | 314 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -5/128 binary64))) x)) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -5/128 binary64))) x)) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (pow x -7/2) -5/128) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x)))) x)) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -5/128 binary64))) x)) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (/ (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))) x) (/ (+ (* (sqrt x) 1/2) (* -5/128 (pow x -5/2))) x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (fma.f64 (sqrt.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 607 |
| 0 | 142 | 537 |
| 1 | 581 | 466 |
| 2 | 4871 | 454 |
| 0 | 8225 | 421 |
| 0 | 113 | 451 |
| 1 | 331 | 393 |
| 2 | 1209 | 387 |
| 3 | 4903 | 387 |
| 0 | 8229 | 353 |
| 0 | 194 | 1074 |
| 1 | 634 | 913 |
| 2 | 2890 | 899 |
| 0 | 8390 | 828 |
| 0 | 227 | 1439 |
| 1 | 739 | 1220 |
| 2 | 3392 | 1210 |
| 0 | 8453 | 1118 |
| 0 | 36 | 198 |
| 0 | 59 | 178 |
| 1 | 229 | 162 |
| 2 | 1642 | 162 |
| 0 | 8876 | 159 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 429 to 196 computations (54.3% saved)
Compiled 660 to 230 computations (65.2% saved)
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