
Time bar (total: 4.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 66.7% | 50% | 25% | 0.1% | 0% | 25% | 0% | 4 |
| 66.7% | 50% | 25% | 0.1% | 0% | 25% | 0% | 5 |
| 80% | 50% | 12.5% | 0.1% | 0% | 37.5% | 0% | 6 |
| 80% | 50% | 12.5% | 0.1% | 0% | 37.5% | 0% | 7 |
| 88.9% | 50% | 6.2% | 0.1% | 0% | 43.7% | 0% | 8 |
| 88.9% | 50% | 6.2% | 0.1% | 0% | 43.7% | 0% | 9 |
| 94.1% | 50% | 3.1% | 0.1% | 0% | 46.8% | 0% | 10 |
| 94.1% | 50% | 3.1% | 0.1% | 0% | 46.8% | 0% | 11 |
| 97% | 50% | 1.6% | 0.1% | 0% | 48.4% | 0% | 12 |
Compiled 10 to 9 computations (10% saved)
| 579.0ms | 8 254× | 0 | valid |
| 12.0ms | 261× | 0 | invalid |
| 0.0ms | 2× | 1 | valid |
ival-sqrt: 99.0ms (31.9% of total)ival-mult: 98.0ms (31.6% of total)ival-sub: 61.0ms (19.7% of total)ival-add: 37.0ms (11.9% of total)ival-true: 6.0ms (1.9% of total)exact: 5.0ms (1.6% of total)ival-assert: 4.0ms (1.3% of total)adjust: 2.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 27.0ms | 512× | 0 | valid |
Compiled 52 to 25 computations (51.9% saved)
ival-mult: 4.0ms (29.4% of total)ival-sqrt: 4.0ms (29.4% of total)ival-sub: 3.0ms (22% of total)ival-add: 2.0ms (14.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 46 |
| 1 | 49 | 46 |
| 2 | 93 | 46 |
| 3 | 146 | 46 |
| 4 | 203 | 46 |
| 5 | 214 | 46 |
| 6 | 222 | 46 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 20 | 8 |
| 2 | 32 | 8 |
| 3 | 48 | 8 |
| 4 | 63 | 8 |
| 5 | 64 | 8 |
| 6 | 66 | 8 |
| 0 | 66 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Outputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
Compiled 8 to 7 computations (12.5% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 8 to 7 computations (12.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 y (sqrt.f64 x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 1 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 20 | 20 |
| 2 | 32 | 20 |
| 3 | 48 | 20 |
| 4 | 63 | 20 |
| 5 | 64 | 20 |
| 6 | 66 | 20 |
| 0 | 66 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
| Outputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
y |
(sqrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.19921875 | (*.f64 y (sqrt.f64 x)) |
| 38.0ms | 256× | 0 | valid |
Compiled 22 to 9 computations (59.1% saved)
ival-mult: 27.0ms (86.2% of total)ival-sqrt: 2.0ms (6.4% of total)ival-sub: 1.0ms (3.2% of total)ival-add: 1.0ms (3.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
1 |
(+ 1 (* -1 x)) |
(* (sqrt x) y) |
(sqrt x) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x)) |
| 1.0ms | x | @ | inf | ((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x)) |
| 1.0ms | x | @ | 0 | ((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x)) |
| 1.0ms | y | @ | -inf | ((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x)) |
| 1.0ms | y | @ | inf | ((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 128 |
| 1 | 140 | 122 |
| 2 | 452 | 122 |
| 3 | 1320 | 118 |
| 4 | 3735 | 118 |
| 5 | 7972 | 118 |
| 0 | 8111 | 107 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
1 |
(+ 1 (* -1 x)) |
(* (sqrt x) y) |
(sqrt x) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(sqrt x) |
(sqrt.f64 x) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 0 | 11 | 17 |
| 1 | 48 | 17 |
| 2 | 341 | 17 |
| 3 | 4398 | 17 |
| 0 | 8363 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (*.f64 y (-.f64 (*.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y (-.f64 (*.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 y (-.f64 (*.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) (-.f64 (*.f64 y (-.f64 (*.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 y (fma.f64 y x (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))) |
(*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 y) (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (*.f64 (*.f64 y x) y))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal 2 binary64))) |
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(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) |
(exp.f64 (/.f64 (log.f64 x) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))) |
Compiled 5 080 to 633 computations (87.5% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 187 | 9 | 196 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 188 | 9 | 197 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x)) | |
| 73.7% | (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) | |
| ▶ | 99.9% | (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
| ▶ | 71.4% | (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
| ▶ | 59.3% | (*.f64 (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))) |
| ▶ | 94.7% | #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) |
| 71.4% | #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) | |
| ▶ | 63.4% | #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
| 60.3% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)) |
Compiled 324 to 196 computations (39.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) | |
| cost-diff | 34 | (*.f64 (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 y (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| cost-diff | 1 | (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 225 |
| 0 | 47 | 189 |
| 1 | 87 | 189 |
| 2 | 178 | 189 |
| 3 | 495 | 189 |
| 4 | 1602 | 189 |
| 5 | 7873 | 189 |
| 0 | 8098 | 188 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 x) |
x |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
x |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(literal -1 binary64) |
(*.f64 (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))) |
(fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) |
(*.f64 y x) |
y |
x |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) |
(fma.f64 (sqrt.f64 x) y x) |
(sqrt.f64 x) |
(/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 x) |
x |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
x |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(literal -1 binary64) |
(*.f64 (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))) |
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) |
(fma.f64 (*.f64 y y) x (*.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1 binary64) x))) |
(*.f64 y x) |
y |
x |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) |
(*.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) |
(-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) |
(fma.f64 (sqrt.f64 x) y x) |
(fma.f64 y (sqrt.f64 x) x) |
(sqrt.f64 x) |
(/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) |
(/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y y) x (*.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1 binary64) x)))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (fma.f64 (sqrt.f64 x) y x) | |
| accuracy | 5.257798738027802 | (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) | |
| accuracy | 23.369120386455958 | (*.f64 (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))) | |
| accuracy | 24.450230597762996 | (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) | |
| accuracy | 0.0 | #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 0.1171875 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.1484375 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) | |
| accuracy | 3.38949284960121 | (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.19921875 | (*.f64 y (sqrt.f64 x)) | |
| accuracy | 31.927693841080014 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 23.421956451887187 | #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.05859375 | (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
| 63.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 226 to 26 computations (88.5% saved)
ival-mult: 12.0ms (41% of total)ival-add: 7.0ms (23.9% of total)ival-sqrt: 4.0ms (13.7% of total)ival-div: 3.0ms (10.3% of total)ival-sub: 3.0ms (10.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 x) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
(*.f64 y (sqrt.f64 x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))) |
(fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) |
(*.f64 y x) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) |
(/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) |
(fma.f64 (sqrt.f64 x) y x) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(sqrt x) |
1 |
(+ 1 (* -1 x)) |
(* (sqrt x) y) |
(* (sqrt (/ 1 x)) y) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(sqrt (/ 1 x)) |
(- 1 (* (sqrt x) y)) |
(- (+ 1 (* x (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1))) (* (sqrt x) y)) |
(- (+ 1 (* x (- (+ x (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2))) 1))) (* (sqrt x) y)) |
(* x y) |
(- (+ 1 (* x (- (* -1 (- 1 (* (sqrt x) y))) 1))) (* (sqrt x) y)) |
(- (+ 1 (* x (- (+ x (* -1 (- 1 (* (sqrt x) y)))) 1))) (* (sqrt x) y)) |
(/ (+ 1 (* (sqrt x) y)) (- 1 (* (sqrt x) y))) |
(+ (* -1 (* x (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* (sqrt x) (/ y (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y))))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (+ (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* (sqrt x) (/ y (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (+ (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (* -1 (/ (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- 1 (* (sqrt x) y))))))) (+ (* -1 (/ (* (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (+ (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* (sqrt x) (/ y (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y))))) |
(+ x (* (sqrt x) y)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))) |
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) y)) x)) (+ (* (sqrt (/ 1 x)) y) (/ (pow y 2) x)))) (/ 1 x))) |
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) y)) x)) (+ (* (sqrt (/ 1 x)) y) (+ (/ 1 (pow x 2)) (/ (pow y 2) x))))) (/ 1 x))) |
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) y)) x)) (* (sqrt (/ 1 x)) y))) (/ 1 x))) |
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) y)) x)) (+ (* (sqrt (/ 1 x)) y) (/ 1 (pow x 2))))) (/ 1 x))) |
(/ (- (* (sqrt (/ 1 x)) y) 1) (* x (+ 1 (* (sqrt (/ 1 x)) y)))) |
(/ (- (+ (* (sqrt (/ 1 x)) (/ y (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) x) |
(/ (- (+ (* (sqrt (/ 1 x)) (/ y (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) (+ (* (sqrt (/ 1 (pow x 5))) (/ y (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (+ (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))))))) x) |
(/ (- (+ (* (sqrt (/ 1 x)) (/ y (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))))) (+ (* (sqrt (/ 1 (pow x 5))) (/ y (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (+ (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)) (+ (* (sqrt (/ 1 x)) (/ y (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ 1 (* (sqrt (/ 1 x)) y)))))) (* (pow x 3) (+ 1 (* (sqrt (/ 1 x)) y)))))))))) x) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (pow x 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) x))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (- (+ 2 (* -1 (pow y 2))) (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))) x))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (- 2 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) x))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (- 2 (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))) x))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* -1 (/ (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (/ (+ (* -1 (/ (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* (sqrt (/ 1 (pow x 3))) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)) (+ (* -1 (/ (* (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ (* (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ (* (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
-1 |
(pow (- 1 x) 2) |
(+ (* -1 (* (sqrt x) (* y (- 1 x)))) (pow (- 1 x) 2)) |
(+ (* y (+ (* -1 (* (sqrt x) (- 1 x))) (* x y))) (pow (- 1 x) 2)) |
(/ 1 (- 1 x)) |
(+ (* y (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x))) |
(+ (* y (- (+ (* -1 (* y (+ (* -1 (* (sqrt x) (/ (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (- 1 x)))) (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2)))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x))) |
(+ (* y (- (+ (* y (- (* -1 (* y (+ (* (sqrt x) (/ (+ (* -1 (* (sqrt x) (/ (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (- 1 x)))) (/ x (pow (- 1 x) 3))) (- 1 x))) (/ (* x (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (pow (- 1 x) 2))))) (+ (* -1 (* (sqrt x) (/ (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (- 1 x)))) (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2)))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x))) |
x |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1 (* (sqrt x) (/ (- 1 x) y))))) |
(* (pow y 2) (+ x (+ (* -1 (* (sqrt x) (/ (- 1 x) y))) (/ (pow (- 1 x) 2) (pow y 2))))) |
(* -1 (* (sqrt x) (* y (- 1 x)))) |
(* y (+ (* -1 (* (sqrt x) (- 1 x))) (/ (pow (- 1 x) 2) y))) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(/ (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (+ (* -1 (/ (- 1 x) (* x y))) (/ 1 y))) y) |
(/ (- (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))))) (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (pow y 2))) (/ 1 (* x y)))) (+ (* -1 (/ (- 1 x) (* x y))) (/ 1 y))) y) |
(/ (- (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (+ (* -1 (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))))) (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (- 1 x))) (/ (* (pow (- 1 x) 2) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) x)) (pow y 3))) (/ 1 (* x y)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) (pow y 2)))) (+ (* -1 (/ (- 1 x) (* x y))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) (pow y 2))) (/ 1 y))))) y) |
(* y (+ (sqrt x) (/ x y))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 (/ (pow (- 1 x) 2) y)) (* (sqrt x) (- 1 x))) y)))) |
(* -1 (* y (+ (* -1 (/ (pow (- 1 x) 2) y)) (* (sqrt x) (- 1 x))))) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x)))) y))) y)) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) y))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) y)) (/ 1 x))) (+ 1 (* -1 (/ (- 1 x) x)))) y))) y)) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))))) (- 1 x)) y))) (/ (* (pow (- 1 x) 2) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) (* x y))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x)))))))) y)) (/ 1 x)) (+ 1 (* -1 (/ (- 1 x) x)))) y))) y)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | inf | ((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))))) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* y x) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (+ (* (sqrt x) y) x)) |
| 6.0ms | x | @ | -inf | ((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))))) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* y x) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (+ (* (sqrt x) y) x)) |
| 4.0ms | x | @ | 0 | ((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))))) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* y x) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (+ (* (sqrt x) y) x)) |
| 3.0ms | y | @ | 0 | ((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))))) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* y x) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (+ (* (sqrt x) y) x)) |
| 3.0ms | y | @ | -inf | ((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))))) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* y x) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (+ (* (sqrt x) y) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 456 | 3685 |
| 1 | 1506 | 3026 |
| 2 | 6217 | 2860 |
| 0 | 8064 | 2726 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(sqrt x) |
1 |
(+ 1 (* -1 x)) |
(* (sqrt x) y) |
(* (sqrt (/ 1 x)) y) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(sqrt (/ 1 x)) |
(- 1 (* (sqrt x) y)) |
(- (+ 1 (* x (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1))) (* (sqrt x) y)) |
(- (+ 1 (* x (- (+ x (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2))) 1))) (* (sqrt x) y)) |
(* x y) |
(- (+ 1 (* x (- (* -1 (- 1 (* (sqrt x) y))) 1))) (* (sqrt x) y)) |
(- (+ 1 (* x (- (+ x (* -1 (- 1 (* (sqrt x) y)))) 1))) (* (sqrt x) y)) |
(/ (+ 1 (* (sqrt x) y)) (- 1 (* (sqrt x) y))) |
(+ (* -1 (* x (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* (sqrt x) (/ y (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y))))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (+ (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* (sqrt x) (/ y (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (+ (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (* -1 (/ (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- 1 (* (sqrt x) y))))))) (+ (* -1 (/ (* (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (+ (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* (sqrt x) (/ y (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y))))) |
(+ x (* (sqrt x) y)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))) |
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) y)) x)) (+ (* (sqrt (/ 1 x)) y) (/ (pow y 2) x)))) (/ 1 x))) |
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) y)) x)) (+ (* (sqrt (/ 1 x)) y) (+ (/ 1 (pow x 2)) (/ (pow y 2) x))))) (/ 1 x))) |
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) y)) x)) (* (sqrt (/ 1 x)) y))) (/ 1 x))) |
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) y)) x)) (+ (* (sqrt (/ 1 x)) y) (/ 1 (pow x 2))))) (/ 1 x))) |
(/ (- (* (sqrt (/ 1 x)) y) 1) (* x (+ 1 (* (sqrt (/ 1 x)) y)))) |
(/ (- (+ (* (sqrt (/ 1 x)) (/ y (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) x) |
(/ (- (+ (* (sqrt (/ 1 x)) (/ y (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) (+ (* (sqrt (/ 1 (pow x 5))) (/ y (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (+ (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))))))) x) |
(/ (- (+ (* (sqrt (/ 1 x)) (/ y (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))))) (+ (* (sqrt (/ 1 (pow x 5))) (/ y (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (+ (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)) (+ (* (sqrt (/ 1 x)) (/ y (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ 1 (* (sqrt (/ 1 x)) y)))))) (* (pow x 3) (+ 1 (* (sqrt (/ 1 x)) y)))))))))) x) |
(* x (+ 1 (* (sqrt (/ 1 x)) y))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (pow x 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) x))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (- (+ 2 (* -1 (pow y 2))) (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))) x))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (- 2 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) x))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (- 2 (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))) x))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* -1 (/ (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (/ (+ (* -1 (/ (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* (sqrt (/ 1 (pow x 3))) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)) (+ (* -1 (/ (* (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ (* (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ (* (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
-1 |
(pow (- 1 x) 2) |
(+ (* -1 (* (sqrt x) (* y (- 1 x)))) (pow (- 1 x) 2)) |
(+ (* y (+ (* -1 (* (sqrt x) (- 1 x))) (* x y))) (pow (- 1 x) 2)) |
(/ 1 (- 1 x)) |
(+ (* y (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x))) |
(+ (* y (- (+ (* -1 (* y (+ (* -1 (* (sqrt x) (/ (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (- 1 x)))) (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2)))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x))) |
(+ (* y (- (+ (* y (- (* -1 (* y (+ (* (sqrt x) (/ (+ (* -1 (* (sqrt x) (/ (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (- 1 x)))) (/ x (pow (- 1 x) 3))) (- 1 x))) (/ (* x (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (pow (- 1 x) 2))))) (+ (* -1 (* (sqrt x) (/ (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (- 1 x)))) (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2)))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x))) |
x |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1 (* (sqrt x) (/ (- 1 x) y))))) |
(* (pow y 2) (+ x (+ (* -1 (* (sqrt x) (/ (- 1 x) y))) (/ (pow (- 1 x) 2) (pow y 2))))) |
(* -1 (* (sqrt x) (* y (- 1 x)))) |
(* y (+ (* -1 (* (sqrt x) (- 1 x))) (/ (pow (- 1 x) 2) y))) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(/ (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (+ (* -1 (/ (- 1 x) (* x y))) (/ 1 y))) y) |
(/ (- (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))))) (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (pow y 2))) (/ 1 (* x y)))) (+ (* -1 (/ (- 1 x) (* x y))) (/ 1 y))) y) |
(/ (- (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (+ (* -1 (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))))) (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (- 1 x))) (/ (* (pow (- 1 x) 2) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) x)) (pow y 3))) (/ 1 (* x y)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) (pow y 2)))) (+ (* -1 (/ (- 1 x) (* x y))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) (pow y 2))) (/ 1 y))))) y) |
(* y (+ (sqrt x) (/ x y))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 (/ (pow (- 1 x) 2) y)) (* (sqrt x) (- 1 x))) y)))) |
(* -1 (* y (+ (* -1 (/ (pow (- 1 x) 2) y)) (* (sqrt x) (- 1 x))))) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x)))) y))) y)) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) y))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) y)) (/ 1 x))) (+ 1 (* -1 (/ (- 1 x) x)))) y))) y)) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))))) (- 1 x)) y))) (/ (* (pow (- 1 x) 2) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) (* x y))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x)))))))) y)) (/ 1 x)) (+ 1 (* -1 (/ (- 1 x) x)))) y))) y)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y))))) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(sqrt x) |
(sqrt.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(- 1 (* (sqrt x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
(- (+ 1 (* x (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1))) (* (sqrt x) y)) |
(fma.f64 (-.f64 (fma.f64 y y (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) |
(- (+ 1 (* x (- (+ x (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2))) 1))) (* (sqrt x) y)) |
(fma.f64 (-.f64 (+.f64 (fma.f64 y y (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))) x) #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) |
(* x y) |
(*.f64 y x) |
(- (+ 1 (* x (- (* -1 (- 1 (* (sqrt x) y))) 1))) (* (sqrt x) y)) |
(fma.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) |
(- (+ 1 (* x (- (+ x (* -1 (- 1 (* (sqrt x) y)))) 1))) (* (sqrt x) y)) |
(fma.f64 (-.f64 (-.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) |
(/ (+ 1 (* (sqrt x) y)) (- 1 (* (sqrt x) y))) |
(/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) |
(+ (* -1 (* x (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* (sqrt x) (/ y (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y y (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (neg.f64 x) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (+ (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* (sqrt x) (/ y (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y))))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (*.f64 (-.f64 (fma.f64 y y (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y y (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))))) (neg.f64 x)) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y y (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (+ (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (* -1 (/ (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- 1 (* (sqrt x) y))))))) (+ (* -1 (/ (* (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (+ (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* (sqrt x) (/ y (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y))))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (*.f64 (-.f64 (fma.f64 y y (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y y (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))))) (-.f64 (fma.f64 y y (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y y (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))) (neg.f64 x) (*.f64 (-.f64 (fma.f64 y y (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y y (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))))) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) x) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y y (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(+ x (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y x) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) x) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 (-.f64 #s(literal 1 binary64) x) x)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) |
(- (* (sqrt (/ 1 x)) y) 1) |
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(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) x))) y) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) x)) (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))))) (- 1 x)) y))) (/ (* (pow (- 1 x) 2) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) (* x y))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x)))))))) y)) (/ 1 x)) (+ 1 (* -1 (/ (- 1 x) x)))) y))) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) x) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) x))) (-.f64 #s(literal 1 binary64) x)))) y) (fma.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) x)))) y) #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) x)) (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y))))) |
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 x)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 183 |
| 0 | 47 | 147 |
| 1 | 207 | 143 |
| 2 | 1588 | 143 |
| 0 | 8355 | 142 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 x) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
(*.f64 y (sqrt.f64 x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))) |
(fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) |
(*.f64 y x) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) |
(/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) |
(fma.f64 (sqrt.f64 x) y x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 y x) y) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y x) y)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (sqrt.f64 x)) y) (*.f64 (neg.f64 (sqrt.f64 x)) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 x)) y))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))) (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x)))))) |
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(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (*.f64 x (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x (*.f64 (neg.f64 x) x)))) (neg.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) x (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y x) y))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 y (sqrt.f64 x)) x)) (*.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x) (*.f64 x x))) (pow.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x))))) (*.f64 (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x))))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 y (sqrt.f64 x)) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x)))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y x) y)) (-.f64 x (*.f64 y (sqrt.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) x (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 y x) y) (*.f64 y (pow.f64 x #s(literal 3/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x))))))) |
(/.f64 (fma.f64 (*.f64 y y) x (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 y (sqrt.f64 x)) x)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 y x) y) (*.f64 y (pow.f64 x #s(literal 3/2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x)))))) |
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) |
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 y (sqrt.f64 x))) |
(fma.f64 y (sqrt.f64 x) x) |
(fma.f64 (sqrt.f64 x) y x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 x))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (sqrt.f64 x)))) (/.f64 (*.f64 (*.f64 y x) y) (-.f64 x (*.f64 y (sqrt.f64 x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 y (sqrt.f64 x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (sqrt.f64 x)) x))) |
(-.f64 x (*.f64 (neg.f64 (sqrt.f64 x)) y)) |
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 x))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 (*.f64 y x) y) (*.f64 y (pow.f64 x #s(literal 3/2 binary64)))))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 (*.f64 y x) y) (*.f64 y (pow.f64 x #s(literal 3/2 binary64))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 (*.f64 y x) y) (*.f64 y (pow.f64 x #s(literal 3/2 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 (*.f64 y x) y) (*.f64 y (pow.f64 x #s(literal 3/2 binary64))))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) x) |
(+.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x)))))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 y (sqrt.f64 x)) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 y (sqrt.f64 x)) x))) |
(+.f64 (*.f64 y (sqrt.f64 x)) x) |
(+.f64 x (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) |
(+.f64 x (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) |
(+.f64 x (*.f64 y (sqrt.f64 x))) |
Compiled 73 081 to 3 923 computations (94.6% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 148 | 7 | 1 155 |
| Fresh | 2 | 2 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 154 | 10 | 1 164 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
| 73.7% | (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) | |
| 65.5% | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) | |
| ▶ | 71.4% | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) |
| ▶ | 94.6% | #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) |
| 90.5% | #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))) x #s(literal 1 binary64))) | |
| ▶ | 66.2% | #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x #s(literal 1 binary64))) |
| ✓ | 63.4% | #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
| 29.9% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) | |
| ▶ | 34.7% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
Compiled 338 to 230 computations (32% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 1 | (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) | |
| cost-diff | 0 | (pow.f64 x #s(literal 1/4 binary64)) | |
| cost-diff | 5 | (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 188 |
| 0 | 49 | 188 |
| 1 | 77 | 182 |
| 2 | 144 | 181 |
| 3 | 352 | 181 |
| 4 | 912 | 181 |
| 5 | 2599 | 181 |
| 6 | 4223 | 181 |
| 7 | 4339 | 181 |
| 8 | 4404 | 181 |
| 9 | 4473 | 181 |
| 10 | 4623 | 181 |
| 11 | 5027 | 181 |
| 12 | 5258 | 181 |
| 13 | 5423 | 181 |
| 14 | 5423 | 181 |
| 15 | 5423 | 181 |
| 0 | 5423 | 174 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal 1/4 binary64)) |
x |
#s(literal 1/4 binary64) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) |
(sqrt.f64 x) |
x |
y |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x #s(literal 1 binary64)) |
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
y |
#s(literal -1 binary64) |
| Outputs |
|---|
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal 1/4 binary64)) |
x |
#s(literal 1/4 binary64) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) |
(*.f64 y (pow.f64 x #s(literal 1/4 binary64))) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) |
(sqrt.f64 x) |
x |
y |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x #s(literal 1 binary64)) |
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) |
(+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
y |
#s(literal -1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 0.1484375 | (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) | |
| accuracy | 0.21484375 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| accuracy | 3.38949284960121 | (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.1171875 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.26953125 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) | |
| accuracy | 3.38949284960121 | (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x #s(literal 1 binary64)) | |
| accuracy | 31.481917585098692 | #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.05859375 | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) | |
| accuracy | 31.927693841080014 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 23.421956451887187 | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) | |
| accuracy | 31.927693841080014 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (pow.f64 x #s(literal 1/4 binary64)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.10546875 | (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.23046875 | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) |
| 84.0ms | 256× | 0 | valid |
Compiled 140 to 28 computations (80% saved)
ival-mult: 12.0ms (28.5% of total)ival-add: 11.0ms (26.2% of total)ival-sqrt: 8.0ms (19% of total)ival-pow: 6.0ms (14.3% of total)ival-div: 3.0ms (7.1% of total)ival-sub: 1.0ms (2.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal 1/4 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) |
(sqrt.f64 x) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x #s(literal 1 binary64)) |
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(pow (* 1 x) 1/4) |
(* (pow (* 1 x) 1/4) y) |
1 |
(+ 1 (* -1 x)) |
(sqrt x) |
(* (sqrt (/ 1 x)) y) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(sqrt (/ 1 x)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 x)))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
-1 |
(* (sqrt x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 58.0ms | y | @ | 0 | ((+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (* (/ 1 (sqrt x)) y) -1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (/ 1 (sqrt x)) y) -1) x) 1) (/ 1 (sqrt x)) (sqrt (/ 1 x))) |
| 31.0ms | x | @ | 0 | ((+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (* (/ 1 (sqrt x)) y) -1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (/ 1 (sqrt x)) y) -1) x) 1) (/ 1 (sqrt x)) (sqrt (/ 1 x))) |
| 28.0ms | y | @ | inf | ((+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (* (/ 1 (sqrt x)) y) -1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (/ 1 (sqrt x)) y) -1) x) 1) (/ 1 (sqrt x)) (sqrt (/ 1 x))) |
| 24.0ms | x | @ | -inf | ((+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (* (/ 1 (sqrt x)) y) -1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (/ 1 (sqrt x)) y) -1) x) 1) (/ 1 (sqrt x)) (sqrt (/ 1 x))) |
| 8.0ms | y | @ | -inf | ((+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (* (/ 1 (sqrt x)) y) -1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (/ 1 (sqrt x)) y) -1) x) 1) (/ 1 (sqrt x)) (sqrt (/ 1 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 293 |
| 1 | 260 | 270 |
| 2 | 826 | 262 |
| 3 | 2520 | 258 |
| 4 | 5832 | 258 |
| 0 | 8130 | 239 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(pow (* 1 x) 1/4) |
(* (pow (* 1 x) 1/4) y) |
1 |
(+ 1 (* -1 x)) |
(sqrt x) |
(* (sqrt (/ 1 x)) y) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(sqrt (/ 1 x)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 x)))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
-1 |
(* (sqrt x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(sqrt x) |
(sqrt.f64 x) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(fma.f64 (/.f64 (sqrt.f64 x) x) y #s(literal -1 binary64)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(- (* (sqrt (/ 1 x)) y) 1) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)) |
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)) y) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(*.f64 (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(-.f64 (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 x)))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 163 |
| 0 | 49 | 160 |
| 1 | 195 | 140 |
| 2 | 1211 | 140 |
| 0 | 8177 | 136 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal 1/4 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) |
(sqrt.f64 x) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x #s(literal 1 binary64)) |
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))) (*.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64))))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 y y) x))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 y y) x)))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 y y) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 y y) x))))) (-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 y y) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 y y) x))))) |
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(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 x)))) |
(exp.f64 (/.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))) |
Compiled 15 801 to 1 587 computations (90% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 417 | 3 | 420 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 422 | 8 | 430 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x)) |
| ▶ | 65.5% | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
| ✓ | 71.4% | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) |
| ▶ | 66.2% | #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x #s(literal 1 binary64))) |
| ✓ | 63.4% | #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
| ▶ | 29.9% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
| ✓ | 34.7% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
| ▶ | 38.2% | #s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)) |
Compiled 195 to 144 computations (26.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- 1 x) (neg.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) y) | |
| cost-diff | 0 | #s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- 1 x) (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) | |
| cost-diff | 0 | (sqrt.f64 (sqrt.f64 x)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (sqrt.f64 x)) y) | |
| cost-diff | 0 | (pow.f64 x #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 167 |
| 0 | 45 | 167 |
| 1 | 75 | 163 |
| 2 | 135 | 162 |
| 3 | 265 | 162 |
| 4 | 425 | 162 |
| 5 | 511 | 162 |
| 6 | 526 | 162 |
| 7 | 529 | 162 |
| 0 | 529 | 156 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal 1/4 binary64)) |
x |
#s(literal 1/4 binary64) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) y) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
(sqrt.f64 x) |
x |
y |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x #s(literal 1 binary64)) |
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) |
(/.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (sqrt.f64 (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal 1/4 binary64)) |
x |
#s(literal 1/4 binary64) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) y) |
(*.f64 y (sqrt.f64 (sqrt.f64 x))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
y |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
(fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x))) |
(sqrt.f64 x) |
x |
y |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x #s(literal 1 binary64)) |
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) |
(/.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
x |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x #s(literal 1 binary64))) | |
| accuracy | 0.18359375 | (/.f64 y (sqrt.f64 x)) | |
| accuracy | 3.38949284960121 | (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x #s(literal 1 binary64)) | |
| accuracy | 31.481917585098692 | #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.05859375 | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) | |
| accuracy | 32.29691968310734 | #s(approx (- 1 x) (neg.f64 x)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.19921875 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 39.48840251995714 | #s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 23.421956451887187 | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) | |
| accuracy | 32.29691968310734 | #s(approx (- 1 x) (neg.f64 x)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.10546875 | (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.1640625 | (sqrt.f64 (sqrt.f64 x)) | |
| accuracy | 0.23046875 | (*.f64 (sqrt.f64 (sqrt.f64 x)) y) |
| 57.0ms | 256× | 0 | valid |
Compiled 124 to 29 computations (76.6% saved)
ival-mult: 12.0ms (29.2% of total)ival-pow: 8.0ms (19.5% of total)ival-div: 7.0ms (17% of total)ival-add: 6.0ms (14.6% of total)ival-sqrt: 5.0ms (12.2% of total)ival-sub: 1.0ms (2.4% of total)ival-neg: 1.0ms (2.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal 1/4 binary64)) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) y) |
(sqrt.f64 (sqrt.f64 x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x #s(literal 1 binary64)) |
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) |
(/.f64 y (sqrt.f64 x)) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(pow (* 1 x) 1/4) |
(* (pow (* 1 x) 1/4) y) |
1 |
(+ 1 (* -1 x)) |
(* -1 x) |
(* (sqrt x) y) |
(sqrt x) |
(* (sqrt (/ 1 x)) y) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (/ 1 x) 1)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(* -1 (* x (+ 1 (* (pow -1 1/4) (* (sqrt (/ (pow (sqrt -1) 3) x)) y))))) |
(* -1 (* x (- (+ 1 (* (pow -1 1/4) (* (sqrt (/ (pow (sqrt -1) 3) x)) y))) (/ 1 x)))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(* (pow (* -1 x) 1/4) (* y (sqrt (sqrt -1)))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
-1 |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | x | @ | -inf | ((+ (* (pow x 1/4) (* (sqrt (sqrt x)) y)) (- 1 x)) (pow x 1/4) (* (sqrt (sqrt x)) y) (sqrt (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (* (sqrt x) y) (sqrt x) (+ (* (sqrt x) y) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (/ y (sqrt x))) |
| 32.0ms | x | @ | inf | ((+ (* (pow x 1/4) (* (sqrt (sqrt x)) y)) (- 1 x)) (pow x 1/4) (* (sqrt (sqrt x)) y) (sqrt (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (* (sqrt x) y) (sqrt x) (+ (* (sqrt x) y) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (/ y (sqrt x))) |
| 14.0ms | x | @ | 0 | ((+ (* (pow x 1/4) (* (sqrt (sqrt x)) y)) (- 1 x)) (pow x 1/4) (* (sqrt (sqrt x)) y) (sqrt (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (* (sqrt x) y) (sqrt x) (+ (* (sqrt x) y) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (/ y (sqrt x))) |
| 14.0ms | y | @ | inf | ((+ (* (pow x 1/4) (* (sqrt (sqrt x)) y)) (- 1 x)) (pow x 1/4) (* (sqrt (sqrt x)) y) (sqrt (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (* (sqrt x) y) (sqrt x) (+ (* (sqrt x) y) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (/ y (sqrt x))) |
| 11.0ms | y | @ | 0 | ((+ (* (pow x 1/4) (* (sqrt (sqrt x)) y)) (- 1 x)) (pow x 1/4) (* (sqrt (sqrt x)) y) (sqrt (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (* (sqrt x) y) (sqrt x) (+ (* (sqrt x) y) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (/ y (sqrt x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 304 |
| 1 | 302 | 290 |
| 2 | 993 | 283 |
| 3 | 3022 | 279 |
| 4 | 6891 | 279 |
| 0 | 8221 | 261 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(pow (* 1 x) 1/4) |
(* (pow (* 1 x) 1/4) y) |
1 |
(+ 1 (* -1 x)) |
(* -1 x) |
(* (sqrt x) y) |
(sqrt x) |
(* (sqrt (/ 1 x)) y) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (/ 1 x) 1)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(* -1 (* x (+ 1 (* (pow -1 1/4) (* (sqrt (/ (pow (sqrt -1) 3) x)) y))))) |
(* -1 (* x (- (+ 1 (* (pow -1 1/4) (* (sqrt (/ (pow (sqrt -1) 3) x)) y))) (/ 1 x)))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(* (pow (* -1 x) 1/4) (* y (sqrt (sqrt -1)))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
-1 |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(* (pow (* 1 x) 1/4) y) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(sqrt x) |
(sqrt.f64 x) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(fma.f64 (/.f64 (sqrt.f64 x) x) y #s(literal -1 binary64)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* x (- (/ 1 x) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(- (* (sqrt (/ 1 x)) y) 1) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) |
(* -1 (* x (+ 1 (* (pow -1 1/4) (* (sqrt (/ (pow (sqrt -1) 3) x)) y))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)) y) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 x))) #s(literal -1 binary64)) x) |
(* -1 (* x (- (+ 1 (* (pow -1 1/4) (* (sqrt (/ (pow (sqrt -1) 3) x)) y))) (/ 1 x)))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)) y) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 x))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) x) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)) |
(* (pow (* -1 x) 1/4) (* y (sqrt (sqrt -1)))) |
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) y) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(*.f64 (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) |
(*.f64 (-.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(-.f64 (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 138 |
| 0 | 45 | 138 |
| 1 | 179 | 126 |
| 2 | 1245 | 126 |
| 0 | 8243 | 119 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal 1/4 binary64)) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) y) |
(sqrt.f64 (sqrt.f64 x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x #s(literal 1 binary64)) |
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) |
(/.f64 y (sqrt.f64 x)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))) (*.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))))) (-.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))) (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))))) (*.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x)))) (neg.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)) (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)) (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)) (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) (neg.f64 x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x))))) |
(+.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)) (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)) (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)) (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 2 binary64)))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)) (pow.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))))) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)) |
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x)) |
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x))) |
(/.f64 y (sqrt.f64 x)) |
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 x))) |
Compiled 12 332 to 1 116 computations (91% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 365 | 0 | 365 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 365 | 8 | 373 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | 65.5% | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
| ✓ | 71.4% | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) |
| ✓ | 66.2% | #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x #s(literal 1 binary64))) |
| ✓ | 63.4% | #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | 29.9% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
| ✓ | 34.7% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
| ✓ | 38.2% | #s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)) |
Compiled 462 to 166 computations (64.1% saved)
| Inputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) |
(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))) x #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) |
(*.f64 (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
3 calls:
| 5.0ms | y |
| 5.0ms | x |
| 5.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) |
(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
| Outputs |
|---|
(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
3 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 99.1% | 2 | x |
| 97.4% | 3 | y |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) |
(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
3 calls:
| 19.0ms | x |
| 2.0ms | y |
| 2.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 3 | y |
| 82.6% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 82.1% | 2 | x |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)) |
| Outputs |
|---|
#s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 1.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.4% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 63.4% | 1 | x |
| 63.4% | 1 | y |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
| Outputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.2% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 34.7% | 1 | y |
| 62.6% | 2 | x |
Compiled 10 to 11 computations (-10% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
2 calls:
| 30.0ms | x |
| 1.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.7% | 1 | x |
| 34.7% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 9 to 9 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.2527343441256198 | 801.286983739941 |
| 6.0ms | 128× | 0 | valid |
Compiled 171 to 164 computations (4.1% saved)
ival-sub: 1.0ms (30% of total)ival-add: 1.0ms (30% of total)ival-mult: 1.0ms (30% of total)ival-sqrt: 1.0ms (30% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 5.627328912784844e+84 | 1.819451577366195e+93 |
| 8.0ms | -5.435498320813124e+56 | -9.649779805075986e+55 |
| 16.0ms | 240× | 0 | valid |
Compiled 365 to 339 computations (7.1% saved)
ival-sub: 6.0ms (56.8% of total)ival-mult: 2.0ms (18.9% of total)ival-sqrt: 2.0ms (18.9% of total)ival-add: 1.0ms (9.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 5.627328912784844e+84 | 1.819451577366195e+93 |
| 1.0ms | -5.435498320813124e+56 | -9.649779805075986e+55 |
| 6.0ms | 128× | 0 | valid |
Compiled 437 to 366 computations (16.2% saved)
ival-sub: 1.0ms (31% of total)ival-add: 1.0ms (31% of total)ival-mult: 1.0ms (31% of total)ival-sqrt: 1.0ms (31% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.627328912784844e+84 | 1.819451577366195e+93 |
| 35.0ms | -1.2359249548885387e+101 | -1.084995073597019e+89 |
| 29.0ms | 160× | 0 | valid |
Compiled 581 to 468 computations (19.4% saved)
ival-sub: 1.0ms (24.7% of total)ival-add: 1.0ms (24.7% of total)ival-mult: 1.0ms (24.7% of total)ival-sqrt: 1.0ms (24.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2568.8035404835655 | 0.7472656558743802 |
Compiled 11 to 12 computations (-9.1% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 232 |
| 1 | 71 | 228 |
| 2 | 103 | 228 |
| 3 | 171 | 228 |
| 4 | 274 | 228 |
| 5 | 358 | 228 |
| 6 | 372 | 228 |
| 7 | 392 | 228 |
| 8 | 399 | 228 |
| 9 | 403 | 228 |
| 10 | 403 | 228 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))) |
(if (<=.f64 y #s(literal -160000000000000001637610723265368183940870210165195931648 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8500000000000000096753924073574165613506341947741466194063755802261722875484662940041216 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))))) |
(if (<=.f64 y #s(literal -160000000000000001637610723265368183940870210165195931648 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1200000000000000050243504975209957734455055349181578613942785036802706362351092583005945856 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)))) |
(if (<=.f64 y #s(literal -115999999999999993452557525324206042144575524825634174840847292998933146349444608077880591646720 binary64)) #s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 1200000000000000050243504975209957734455055349181578613942785036802706362351092583005945856 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -2000 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))) |
(if (<=.f64 y #s(literal -160000000000000001637610723265368183940870210165195931648 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8500000000000000096753924073574165613506341947741466194063755802261722875484662940041216 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))))) |
(if (<=.f64 y #s(literal -160000000000000001637610723265368183940870210165195931648 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1200000000000000050243504975209957734455055349181578613942785036802706362351092583005945856 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)))) |
(if (<=.f64 y #s(literal -115999999999999993452557525324206042144575524825634174840847292998933146349444608077880591646720 binary64)) #s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 1200000000000000050243504975209957734455055349181578613942785036802706362351092583005945856 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)))) |
(if (or (<=.f64 y #s(literal -115999999999999993452557525324206042144575524825634174840847292998933146349444608077880591646720 binary64)) (not (<=.f64 y #s(literal 1200000000000000050243504975209957734455055349181578613942785036802706362351092583005945856 binary64)))) #s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (*.f64 (sqrt.f64 x) y)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -2000 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 128 |
| 1 | 140 | 122 |
| 2 | 452 | 122 |
| 3 | 1320 | 118 |
| 4 | 3735 | 118 |
| 5 | 7972 | 118 |
| 0 | 8111 | 107 |
| 0 | 456 | 3685 |
| 1 | 1506 | 3026 |
| 2 | 6217 | 2860 |
| 0 | 8064 | 2726 |
| 0 | 89 | 293 |
| 1 | 260 | 270 |
| 2 | 826 | 262 |
| 3 | 2520 | 258 |
| 4 | 5832 | 258 |
| 0 | 8130 | 239 |
| 0 | 7 | 17 |
| 0 | 11 | 17 |
| 1 | 48 | 17 |
| 2 | 341 | 17 |
| 3 | 4398 | 17 |
| 0 | 8363 | 16 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 232 to 50 computations (78.4% saved)
Compiled 480 to 114 computations (76.3% saved)
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