
Time bar (total: 7.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 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 16 to 14 computations (12.5% saved)
| 800.0ms | 8 256× | 0 | valid |
| 41.0ms | 261× | 0 | invalid |
ival-mult: 194.0ms (34.1% of total)ival-sub: 120.0ms (21.1% of total)ival-div: 96.0ms (16.9% of total)ival-sqrt: 96.0ms (16.9% of total)ival-add: 40.0ms (7% of total)exact: 12.0ms (2.1% of total)ival-true: 6.0ms (1.1% of total)ival-assert: 4.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 9 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 9 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 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 |
| 78.0ms | 512× | 0 | valid |
Compiled 165 to 52 computations (68.5% saved)
ival-div: 25.0ms (56.7% of total)ival-mult: 9.0ms (20.4% of total)ival-sqrt: 4.0ms (9.1% of total)ival-add: 3.0ms (6.8% of total)ival-sub: 2.0ms (4.5% of total)exact: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 78 |
| 1 | 84 | 64 |
| 2 | 304 | 62 |
| 3 | 1274 | 62 |
| 4 | 3718 | 62 |
| 5 | 6072 | 62 |
| 6 | 7770 | 62 |
| 0 | 12 | 14 |
| 0 | 19 | 14 |
| 1 | 34 | 12 |
| 2 | 75 | 12 |
| 3 | 186 | 12 |
| 4 | 324 | 12 |
| 5 | 425 | 12 |
| 6 | 839 | 12 |
| 7 | 1858 | 12 |
| 8 | 2915 | 12 |
| 9 | 3645 | 12 |
| 10 | 3831 | 12 |
| 11 | 3861 | 12 |
| 12 | 3862 | 12 |
| 13 | 3862 | 12 |
| 14 | 4064 | 12 |
| 15 | 4309 | 12 |
| 16 | 4779 | 12 |
| 17 | 4779 | 12 |
| 18 | 4779 | 12 |
| 0 | 4779 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
Compiled 14 to 12 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 128 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 49 |
| 0 | 19 | 49 |
| 1 | 34 | 41 |
| 2 | 75 | 41 |
| 3 | 186 | 41 |
| 4 | 324 | 41 |
| 5 | 425 | 41 |
| 6 | 839 | 41 |
| 7 | 1858 | 41 |
| 8 | 2915 | 41 |
| 9 | 3645 | 41 |
| 10 | 3831 | 41 |
| 11 | 3861 | 41 |
| 12 | 3862 | 41 |
| 13 | 3862 | 41 |
| 14 | 4064 | 41 |
| 15 | 4309 | 41 |
| 16 | 4779 | 41 |
| 17 | 4779 | 41 |
| 18 | 4779 | 41 |
| 0 | 4779 | 40 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 9 binary64)) |
#s(literal 9 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) | |
| accuracy | 0.2109375 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| accuracy | 0.23828125 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) | |
| accuracy | 0.2890625 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 19.0ms | 256× | 0 | valid |
Compiled 100 to 26 computations (74% saved)
ival-mult: 4.0ms (35.2% of total)ival-div: 2.0ms (17.6% of total)ival-sqrt: 2.0ms (17.6% of total)ival-sub: 1.0ms (8.8% of total)ival-add: 1.0ms (8.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| Outputs |
|---|
(/ 1/9 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (sqrt x)) |
(sqrt x) |
(/ (+ 1/9 (* x y)) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 2.0ms | x | @ | 0 | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1.0ms | x | @ | inf | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1.0ms | y | @ | 0 | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1.0ms | y | @ | -inf | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 175 |
| 1 | 195 | 166 |
| 2 | 608 | 166 |
| 3 | 2217 | 164 |
| 4 | 6431 | 164 |
| 0 | 8212 | 152 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/9 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (sqrt x)) |
(sqrt x) |
(/ (+ 1/9 (* x y)) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
| Outputs |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 32 |
| 0 | 19 | 32 |
| 1 | 66 | 26 |
| 2 | 526 | 26 |
| 3 | 6505 | 26 |
| 0 | 8210 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64)) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x)) |
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) |
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(neg.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64))) (fma.f64 #s(literal -1 binary64) y (/.f64 #s(literal 1/9 binary64) x)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))))) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)))) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64)))) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) y) |
(fma.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) y) |
(fma.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64) y) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) |
(fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64)) y) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64) y) |
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x) y) |
(fma.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))))) |
(fma.f64 y #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64) y) |
(fma.f64 #s(literal 1 binary64) y (/.f64 #s(literal 1/9 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x) y) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (/.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(-.f64 (*.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64)))) |
(-.f64 y (/.f64 #s(literal -1/9 binary64) x)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
Compiled 4 892 to 785 computations (84% saved)
22 alts after pruning (21 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 189 | 21 | 210 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 189 | 22 | 211 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
| 99.4% | (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) | |
| 99.5% | (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| ▶ | 99.5% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
| 42.0% | (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))) | |
| 99.4% | (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) | |
| ▶ | 99.4% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
| 99.2% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) | |
| 99.4% | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| 99.4% | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 99.2% | (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| 58.3% | (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) | |
| ▶ | 66.9% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) |
| 99.5% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) | |
| ✓ | 99.5% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 71.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) | |
| 65.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) | |
| ▶ | 40.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| 34.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| 99.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) | |
| 59.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
Compiled 856 to 634 computations (25.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 128 | (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) | |
| cost-diff | 128 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 128 | (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) | |
| cost-diff | 832 | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) x) | |
| cost-diff | 0 | (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) x) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| cost-diff | 1280 | (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 258 |
| 0 | 68 | 265 |
| 1 | 118 | 251 |
| 2 | 224 | 247 |
| 3 | 404 | 247 |
| 4 | 650 | 247 |
| 5 | 1248 | 247 |
| 6 | 2896 | 247 |
| 7 | 6324 | 247 |
| 0 | 8052 | 241 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
y |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
#s(literal 3 binary64) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 3 binary64) |
#s(literal -3 binary64) |
(sqrt.f64 x) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
(*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
#s(literal 3 binary64) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) |
(pow.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/81 binary64) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
y |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
y |
#s(literal 3 binary64) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 3 binary64) |
#s(literal -3 binary64) |
(sqrt.f64 x) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
(*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
(fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
#s(literal 3 binary64) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (fma.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 y y)) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(/.f64 (fma.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 y y)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) |
(fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 y) y)) |
(pow.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/81 binary64) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2890625 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.34375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 3.0374268105798827 | (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) | |
| accuracy | 30.84533862472281 | (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) | |
| accuracy | 0.05859375 | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| accuracy | 0.21875 | (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) | |
| accuracy | 0.31869125976844204 | (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.34375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.00390625 | (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) | |
| accuracy | 0.12890625 | (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) | |
| accuracy | 0.31087875976844204 | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.34375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.19921875 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 0.25390625 | (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) | |
| accuracy | 37.90379985757672 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) | |
| accuracy | 0.1640625 | (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.22265625 | (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| accuracy | 0.2890625 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 0.34375 | (/.f64 #s(literal 1/9 binary64) x) |
| 75.0ms | 218× | 0 | valid |
| 48.0ms | 20× | 2 | valid |
| 9.0ms | 16× | 1 | valid |
| 2.0ms | 2× | 3 | valid |
Compiled 519 to 86 computations (83.4% saved)
ival-pow: 33.0ms (30.2% of total)ival-mult: 29.0ms (26.5% of total)ival-add: 15.0ms (13.7% of total)const: 12.0ms (11% of total)ival-div: 6.0ms (5.5% of total)ival-sub: 5.0ms (4.6% of total)adjust: 4.0ms (3.7% of total)ival-sqrt: 2.0ms (1.8% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(* 1/9 (sqrt (/ 1 x))) |
(/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* -1 x)) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) y)) |
(* (sqrt x) y) |
(sqrt x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ 1/3 x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (+ 1 (* -1 y)))) (* 1/3 (sqrt x))) x) |
(* 3 (sqrt x)) |
(/ 1/81 (pow x 2)) |
(/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* -1 (sqrt x)) |
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3)))))) |
-1 |
(- (* 1/9 (/ 1 x)) 1) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* 3 y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | -inf | ((+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (- (/ 1/9 x) 1) (sqrt x)) (- (/ 1/9 x) 1) (/ 1/9 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (+ y (/ 1/9 x)) 3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (* 3 (sqrt x)) (* (sqrt x) 3) (* y (* (sqrt x) 3)) (+ (* (pow x -2) 1/81) (* (neg y) y))) |
| 9.0ms | x | @ | -inf | ((+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (- (/ 1/9 x) 1) (sqrt x)) (- (/ 1/9 x) 1) (/ 1/9 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (+ y (/ 1/9 x)) 3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (* 3 (sqrt x)) (* (sqrt x) 3) (* y (* (sqrt x) 3)) (+ (* (pow x -2) 1/81) (* (neg y) y))) |
| 8.0ms | x | @ | inf | ((+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (- (/ 1/9 x) 1) (sqrt x)) (- (/ 1/9 x) 1) (/ 1/9 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (+ y (/ 1/9 x)) 3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (* 3 (sqrt x)) (* (sqrt x) 3) (* y (* (sqrt x) 3)) (+ (* (pow x -2) 1/81) (* (neg y) y))) |
| 7.0ms | y | @ | inf | ((+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (- (/ 1/9 x) 1) (sqrt x)) (- (/ 1/9 x) 1) (/ 1/9 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (+ y (/ 1/9 x)) 3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (* 3 (sqrt x)) (* (sqrt x) 3) (* y (* (sqrt x) 3)) (+ (* (pow x -2) 1/81) (* (neg y) y))) |
| 7.0ms | x | @ | 0 | ((+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (- (/ 1/9 x) 1) (sqrt x)) (- (/ 1/9 x) 1) (/ 1/9 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (+ y (/ 1/9 x)) 3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (* 3 (sqrt x)) (* (sqrt x) 3) (* y (* (sqrt x) 3)) (+ (* (pow x -2) 1/81) (* (neg y) y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 219 | 828 |
| 1 | 638 | 764 |
| 2 | 2032 | 755 |
| 3 | 4525 | 755 |
| 0 | 8118 | 701 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(* 1/9 (sqrt (/ 1 x))) |
(/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* -1 x)) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) y)) |
(* (sqrt x) y) |
(sqrt x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ 1/3 x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (+ 1 (* -1 y)))) (* 1/3 (sqrt x))) x) |
(* 3 (sqrt x)) |
(/ 1/81 (pow x 2)) |
(/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* -1 (sqrt x)) |
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3)))))) |
-1 |
(- (* 1/9 (/ 1 x)) 1) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* 3 y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* 1/9 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x) |
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* -1 x)) x) |
(/.f64 (-.f64 #s(literal 1/9 binary64) x) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(sqrt x) |
(sqrt.f64 x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/.f64 (fma.f64 (*.f64 y x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (+ 1 (* -1 y)))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(/ 1/81 (pow x 2)) |
(/.f64 #s(literal 1/81 binary64) (*.f64 x x)) |
(/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal -1/81 binary64))) (*.f64 x x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (sqrt x)) |
(neg.f64 (sqrt.f64 x)) |
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/9 (/ 1 x)) 1) |
(/.f64 (-.f64 #s(literal 1/9 binary64) x) x) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(- (* 3 y) 3) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2)))) |
(fma.f64 (neg.f64 y) y (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 x)) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x)) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(- (* 1/3 (/ 1 x)) 3) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) x) y) y y)) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal -3 binary64)) y) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1)) |
(*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 y y)) x) x) y (neg.f64 y)) y) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) x) y) y y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal -3 binary64)) y) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 180 |
| 0 | 68 | 161 |
| 1 | 255 | 151 |
| 2 | 2248 | 151 |
| 0 | 8456 | 151 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) x (*.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))) |
(*.f64 #s(literal 3 binary64) (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) x (*.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x))))) (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (neg.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal -6 binary64)) (neg.f64 (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -4 binary64)) (neg.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal -6 binary64)) (neg.f64 (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal -4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 y y))) |
(/.f64 (fma.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal -6 binary64)) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -4 binary64)) (neg.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal -6 binary64)) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (fma.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal -4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 y y)) (-.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -4 binary64)) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal -4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal -6 binary64)) (neg.f64 (pow.f64 y #s(literal 6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 y y)) (-.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -4 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal -4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal -6 binary64)) (neg.f64 (pow.f64 y #s(literal 6 binary64)))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/9 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 #s(literal -1/9 binary64) x) (*.f64 (neg.f64 y) y)) |
(fma.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/81 binary64)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 y y) (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(fma.f64 (neg.f64 y) y (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1/81 binary64) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (neg.f64 y) y)) |
(fma.f64 #s(literal 1/81 binary64) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) |
(fma.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) |
(fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) |
(fma.f64 y (neg.f64 y) (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 (neg.f64 y) y)) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal 1/9 binary64) x) (*.f64 (neg.f64 y) y)) |
(fma.f64 #s(literal 1/9 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal 9 binary64) x)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -4 binary64)) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal -4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal -4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -4 binary64)) (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 y y)))) |
(-.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 y y)) |
(+.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 (neg.f64 y) y)) |
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64)))) |
Compiled 15 519 to 2 109 computations (86.4% saved)
30 alts after pruning (27 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 611 | 21 | 632 |
| Fresh | 10 | 6 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 624 | 30 | 654 |
| Status | Accuracy | Program |
|---|---|---|
| 97.8% | (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 y (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) | |
| 99.4% | (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) | |
| 65.8% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))) | |
| 99.4% | (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) | |
| 99.5% | (*.f64 (fma.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| 99.4% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| ▶ | 99.5% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
| 99.1% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) | |
| 58.3% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) | |
| ✓ | 99.4% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
| 99.2% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) | |
| 99.4% | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| 99.4% | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) | |
| 39.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) | |
| ✓ | 99.5% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| ▶ | 99.5% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
| 65.7% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) | |
| 34.1% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) | |
| 59.2% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) | |
| 83.3% | #s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| 70.9% | #s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) | |
| 59.9% | #s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| 34.2% | #s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| ▶ | 99.5% | #s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))) |
| 59.3% | #s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) | |
| ▶ | 31.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) #s(literal 3 binary64))) |
| ✓ | 40.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| 40.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) | |
| ▶ | 40.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
Compiled 1 110 to 911 computations (17.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) #s(literal 3 binary64))) | |
| cost-diff | 0 | (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) | |
| cost-diff | 0 | (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) | |
| cost-diff | 0 | #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) 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)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 262 |
| 0 | 75 | 248 |
| 1 | 121 | 244 |
| 2 | 191 | 242 |
| 3 | 336 | 242 |
| 4 | 537 | 242 |
| 5 | 852 | 242 |
| 6 | 1787 | 242 |
| 7 | 3111 | 242 |
| 8 | 3759 | 242 |
| 9 | 4246 | 242 |
| 10 | 4409 | 242 |
| 11 | 4457 | 242 |
| 12 | 4464 | 242 |
| 13 | 4691 | 242 |
| 14 | 4783 | 242 |
| 15 | 4783 | 242 |
| 16 | 4955 | 242 |
| 17 | 5454 | 242 |
| 18 | 5462 | 242 |
| 19 | 5494 | 242 |
| 20 | 5562 | 242 |
| 21 | 5562 | 242 |
| 22 | 5562 | 242 |
| 0 | 5562 | 242 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/3 binary64) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
#s(literal 3 binary64) |
y |
#s(literal -3 binary64) |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
y |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal -3 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
(sqrt.f64 x) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
x |
#s(literal 3 binary64) |
#s(literal -3 binary64) |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/4 binary64) |
y |
#s(literal 3 binary64) |
| Outputs |
|---|
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))) |
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/3 binary64) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
#s(literal 3 binary64) |
y |
#s(literal -3 binary64) |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
y |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal -3 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
(sqrt.f64 x) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1 binary64) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
x |
#s(literal 3 binary64) |
#s(literal -3 binary64) |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) #s(literal 3 binary64))) |
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/4 binary64) |
y |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.19921875 | (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) | |
| accuracy | 0.25390625 | (*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) #s(literal 3 binary64)) | |
| accuracy | 31.670752083130868 | (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) | |
| accuracy | 37.90379985757672 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) #s(literal 3 binary64))) | |
| accuracy | 0.00390625 | (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) | |
| accuracy | 0.12890625 | (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) | |
| accuracy | 0.23828125 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) | |
| accuracy | 0.31087875976844204 | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.0 | #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) | |
| accuracy | 0.109375 | (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) | |
| accuracy | 0.31087875976844204 | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) | |
| accuracy | 0.390625 | (/.f64 #s(literal 1/3 binary64) x) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.22265625 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) | |
| accuracy | 0.2890625 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 37.90379985757672 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) | |
| accuracy | 0.0 | #s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))) | |
| accuracy | 0.08984375 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.15234375 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) | |
| accuracy | 0.28125 | (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
| 117.0ms | 222× | 0 | valid |
| 17.0ms | 15× | 2 | valid |
| 12.0ms | 19× | 1 | valid |
Compiled 484 to 100 computations (79.3% saved)
ival-mult: 55.0ms (50.5% of total)ival-add: 15.0ms (13.8% of total)ival-div: 9.0ms (8.3% of total)adjust: 8.0ms (7.3% of total)const: 7.0ms (6.4% of total)ival-pow: 6.0ms (5.5% of total)ival-sqrt: 4.0ms (3.7% of total)ival-sub: 3.0ms (2.8% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) x) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(sqrt (/ 1 x)) |
(/ 1 x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) y)) |
(* 3 (sqrt x)) |
(sqrt x) |
(/ 1/3 x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x y)) x) |
(* (sqrt x) y) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(* -3 (- 1 y)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -3 (* (sqrt x) (* y (sqrt -1)))) |
(* -1 (* (sqrt x) (* y (sqrt -1)))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
1 |
(+ 1 (* -1 y)) |
(* -3 (sqrt x)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* 3 y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 70.0ms | x | @ | 0 | ((+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (+ (* (sqrt (/ 1 x)) 1/3) (* (+ (* 3 y) -3) (sqrt x))) (sqrt (/ 1 x)) (/ 1 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 (sqrt x)) y) (* 3 (sqrt x)) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ (* (- 1 y) -3) (/ 1/3 x)) (- 1 y) (/ 1 (* 9 x)) (* (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (sqrt x)) (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (+ y (/ 1 (* 9 x))) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (pow (* x x) 1/4) y) 3) (* (pow (* x x) 1/4) y) (pow (* x x) 1/4) (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 x)) |
| 22.0ms | x | @ | inf | ((+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (+ (* (sqrt (/ 1 x)) 1/3) (* (+ (* 3 y) -3) (sqrt x))) (sqrt (/ 1 x)) (/ 1 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 (sqrt x)) y) (* 3 (sqrt x)) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ (* (- 1 y) -3) (/ 1/3 x)) (- 1 y) (/ 1 (* 9 x)) (* (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (sqrt x)) (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (+ y (/ 1 (* 9 x))) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (pow (* x x) 1/4) y) 3) (* (pow (* x x) 1/4) y) (pow (* x x) 1/4) (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 x)) |
| 18.0ms | x | @ | -inf | ((+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (+ (* (sqrt (/ 1 x)) 1/3) (* (+ (* 3 y) -3) (sqrt x))) (sqrt (/ 1 x)) (/ 1 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 (sqrt x)) y) (* 3 (sqrt x)) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ (* (- 1 y) -3) (/ 1/3 x)) (- 1 y) (/ 1 (* 9 x)) (* (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (sqrt x)) (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (+ y (/ 1 (* 9 x))) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (pow (* x x) 1/4) y) 3) (* (pow (* x x) 1/4) y) (pow (* x x) 1/4) (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 x)) |
| 16.0ms | y | @ | 0 | ((+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (+ (* (sqrt (/ 1 x)) 1/3) (* (+ (* 3 y) -3) (sqrt x))) (sqrt (/ 1 x)) (/ 1 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 (sqrt x)) y) (* 3 (sqrt x)) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ (* (- 1 y) -3) (/ 1/3 x)) (- 1 y) (/ 1 (* 9 x)) (* (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (sqrt x)) (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (+ y (/ 1 (* 9 x))) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (pow (* x x) 1/4) y) 3) (* (pow (* x x) 1/4) y) (pow (* x x) 1/4) (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 x)) |
| 15.0ms | y | @ | inf | ((+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (+ (* (sqrt (/ 1 x)) 1/3) (* (+ (* 3 y) -3) (sqrt x))) (sqrt (/ 1 x)) (/ 1 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 (sqrt x)) y) (* 3 (sqrt x)) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ (* (- 1 y) -3) (/ 1/3 x)) (- 1 y) (/ 1 (* 9 x)) (* (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (sqrt x)) (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (+ y (/ 1 (* 9 x))) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (pow (* x x) 1/4) y) 3) (* (pow (* x x) 1/4) y) (pow (* x x) 1/4) (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 724 |
| 1 | 557 | 631 |
| 2 | 1881 | 619 |
| 3 | 4071 | 618 |
| 0 | 8173 | 566 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(sqrt (/ 1 x)) |
(/ 1 x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) y)) |
(* 3 (sqrt x)) |
(sqrt x) |
(/ 1/3 x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x y)) x) |
(* (sqrt x) y) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(* -3 (- 1 y)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -3 (* (sqrt x) (* y (sqrt -1)))) |
(* -1 (* (sqrt x) (* y (sqrt -1)))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
1 |
(+ 1 (* -1 y)) |
(* -3 (sqrt x)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* 3 y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(- (* 3 y) 3) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* -3 (- 1 y)) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -3 (* (sqrt x) (* y (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 y (sqrt.f64 x))) |
(* -1 (* (sqrt x) (* y (sqrt -1)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) y) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(- (* 1/3 (/ 1 x)) 3) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -3 (sqrt x)) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 222 |
| 0 | 75 | 199 |
| 1 | 298 | 189 |
| 2 | 1814 | 189 |
| 0 | 8717 | 187 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) x) |
| Outputs |
|---|
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 2 binary64)) x)) (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/27 binary64) (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 2 binary64)) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/27 binary64) (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/9 binary64) x))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/27 binary64) (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/9 binary64) x))))) |
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(*.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(pow.f64 (/.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)) (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)))) (pow.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (-.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1/9 binary64) x) y))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (-.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(/.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)) (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)) (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)) y) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/3 binary64) y) |
(fma.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) y) |
(fma.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x) y) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -1 binary64)) y) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64) y) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) y) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) y) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64) y) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x) y) |
(fma.f64 #s(literal 1 binary64) y (/.f64 #s(literal 1/9 binary64) x)) |
(fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64)) y) |
(fma.f64 y #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (/.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
(*.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)) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64))) |
(/.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(/.f64 #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 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)))) |
(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) |
(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -27 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (-.f64 (*.f64 #s(literal 9 binary64) x) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -27 binary64) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) x (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) (sqrt.f64 x))) (neg.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -27 binary64)) (sqrt.f64 x))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)))) (neg.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -27 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) (sqrt.f64 x)) (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -27 binary64)) (sqrt.f64 x)) (fma.f64 (*.f64 y y) #s(literal 9 binary64) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64))) (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -27 binary64))) (fma.f64 (*.f64 y y) #s(literal 9 binary64) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64))))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(pow.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
Compiled 15 777 to 1 987 computations (87.4% saved)
29 alts after pruning (22 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 521 | 9 | 530 |
| Fresh | 9 | 13 | 22 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 531 | 29 | 560 |
| Status | Accuracy | Program |
|---|---|---|
| 99.4% | (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| 65.8% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))) | |
| ✓ | 99.5% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
| 58.3% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) | |
| ✓ | 99.4% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
| 99.4% | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| 99.4% | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) | |
| ✓ | 99.5% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| ▶ | 99.5% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 x)) |
| ✓ | 99.5% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
| ▶ | 72.9% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
| 65.7% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) | |
| 67.8% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) | |
| 34.1% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) | |
| 59.2% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) | |
| ▶ | 40.6% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
| ▶ | 83.3% | #s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
| 70.9% | #s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) | |
| 59.9% | #s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| 34.2% | #s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| ▶ | 99.6% | #s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
| 99.5% | #s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))) | |
| 59.3% | #s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) | |
| 68.0% | #s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)))) | |
| 40.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 3 binary64) y)))) | |
| ✓ | 31.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) #s(literal 3 binary64))) |
| ✓ | 40.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| ✓ | 40.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
Compiled 1 131 to 887 computations (21.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| cost-diff | 192 | (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) | |
| cost-diff | 960 | (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 x)) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) | |
| cost-diff | 0 | #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) | |
| cost-diff | 0 | #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 317 |
| 0 | 72 | 315 |
| 1 | 115 | 301 |
| 2 | 181 | 287 |
| 3 | 356 | 287 |
| 4 | 731 | 287 |
| 5 | 1349 | 287 |
| 6 | 2705 | 287 |
| 7 | 4599 | 283 |
| 8 | 7577 | 283 |
| 0 | 8051 | 282 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
#s(literal 3 binary64) |
y |
#s(literal -3 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
#s(literal 1/3 binary64) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(sqrt.f64 x) |
x |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(literal -3 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
(sqrt.f64 x) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal -3 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(sqrt.f64 x) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
#s(literal 3 binary64) |
y |
#s(literal -3 binary64) |
(sqrt.f64 x) |
x |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
#s(literal 3 binary64) |
y |
#s(literal -3 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
#s(literal 1/3 binary64) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(sqrt.f64 x) |
x |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(literal -3 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
(sqrt.f64 x) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) |
(fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal -3 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
x |
#s(literal 3 binary64) |
(sqrt.f64 x) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x #s(literal 1/3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
#s(literal 3 binary64) |
y |
#s(literal -3 binary64) |
(sqrt.f64 x) |
x |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
#s(literal 1/3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.109375 | (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.28125 | (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.453125 | (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) | |
| accuracy | 10.57671596078932 | (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) | |
| accuracy | 0.0 | #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) | |
| accuracy | 0.109375 | (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0.31087875976844204 | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 x)) | |
| accuracy | 0.3203125 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.109375 | (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) | |
| accuracy | 0.31087875976844204 | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) | |
| accuracy | 0.390625 | (/.f64 #s(literal 1/3 binary64) x) | |
| accuracy | 31.860067924293574 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.31087875976844204 | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) | |
| accuracy | 37.97517098127673 | #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.0 | #s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) | |
| accuracy | 0.1796875 | (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.359375 | (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
| 66.0ms | 222× | 0 | valid |
| 11.0ms | 15× | 2 | valid |
| 11.0ms | 19× | 1 | valid |
Compiled 559 to 91 computations (83.7% saved)
ival-mult: 28.0ms (42.7% of total)ival-add: 12.0ms (18.3% of total)ival-div: 9.0ms (13.7% of total)const: 7.0ms (10.7% of total)adjust: 3.0ms (4.6% of total)ival-sub: 3.0ms (4.6% of total)ival-sqrt: 2.0ms (3% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(sqrt.f64 x) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#s(approx (- 1 y) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(sqrt x) |
(/ 1/3 x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(* 1/3 (sqrt x)) |
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(* -3 (- 1 y)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(* (sqrt (pow x 3)) (- (* 3 y) 3)) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
-3 |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* 3 y) |
1 |
(+ 1 (* -1 y)) |
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) |
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y)))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* -3 (sqrt x)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3)))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 61.0ms | x | @ | -inf | ((+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (+ (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 (sqrt x))) (+ (* 3 y) -3) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (* 3 y) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ (* (- 1 y) -3) (/ 1/3 x)) (- 1 y) (/ 1 (* x 3)) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (+ (* (* (+ (* 3 y) -3) (sqrt x)) x) (* 1/3 (sqrt x))) (/ (+ (* (* (+ (* 3 y) -3) (sqrt x)) x) (* 1/3 (sqrt x))) x) (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 (sqrt x)) (/ 1/3 x) (* 1/3 (sqrt x))) |
| 3.0ms | x | @ | inf | ((+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (+ (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 (sqrt x))) (+ (* 3 y) -3) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (* 3 y) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ (* (- 1 y) -3) (/ 1/3 x)) (- 1 y) (/ 1 (* x 3)) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (+ (* (* (+ (* 3 y) -3) (sqrt x)) x) (* 1/3 (sqrt x))) (/ (+ (* (* (+ (* 3 y) -3) (sqrt x)) x) (* 1/3 (sqrt x))) x) (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 (sqrt x)) (/ 1/3 x) (* 1/3 (sqrt x))) |
| 3.0ms | x | @ | 0 | ((+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (+ (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 (sqrt x))) (+ (* 3 y) -3) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (* 3 y) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ (* (- 1 y) -3) (/ 1/3 x)) (- 1 y) (/ 1 (* x 3)) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (+ (* (* (+ (* 3 y) -3) (sqrt x)) x) (* 1/3 (sqrt x))) (/ (+ (* (* (+ (* 3 y) -3) (sqrt x)) x) (* 1/3 (sqrt x))) x) (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 (sqrt x)) (/ 1/3 x) (* 1/3 (sqrt x))) |
| 3.0ms | y | @ | -inf | ((+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (+ (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 (sqrt x))) (+ (* 3 y) -3) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (* 3 y) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ (* (- 1 y) -3) (/ 1/3 x)) (- 1 y) (/ 1 (* x 3)) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (+ (* (* (+ (* 3 y) -3) (sqrt x)) x) (* 1/3 (sqrt x))) (/ (+ (* (* (+ (* 3 y) -3) (sqrt x)) x) (* 1/3 (sqrt x))) x) (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 (sqrt x)) (/ 1/3 x) (* 1/3 (sqrt x))) |
| 3.0ms | y | @ | 0 | ((+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (+ (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 (sqrt x))) (+ (* 3 y) -3) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (* 3 y) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ (* (- 1 y) -3) (/ 1/3 x)) (- 1 y) (/ 1 (* x 3)) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (+ (* (* (+ (* 3 y) -3) (sqrt x)) x) (* 1/3 (sqrt x))) (/ (+ (* (* (+ (* 3 y) -3) (sqrt x)) x) (* 1/3 (sqrt x))) x) (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 (sqrt x)) (/ 1/3 x) (* 1/3 (sqrt x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 187 | 776 |
| 1 | 567 | 699 |
| 2 | 1898 | 674 |
| 3 | 4080 | 672 |
| 0 | 8179 | 611 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(sqrt x) |
(/ 1/3 x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(* 1/3 (sqrt x)) |
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(* -3 (- 1 y)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(* (sqrt (pow x 3)) (- (* 3 y) 3)) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
-3 |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* 3 y) |
1 |
(+ 1 (* -1 y)) |
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) |
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y)))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* -3 (sqrt x)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3)))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(sqrt x) |
(sqrt.f64 x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x) |
(* 1/3 (sqrt x)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(- (* 3 y) 3) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* -3 (- 1 y)) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* (sqrt (pow x 3)) (- (* 3 y) 3)) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
-3 |
#s(literal -3 binary64) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(- (* 1/3 (/ 1 x)) 3) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y)))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(* -3 (sqrt x)) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) y) #s(literal 3 binary64)) y #s(literal -3 binary64)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3)))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) y y)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) y) #s(literal 3 binary64)) y #s(literal -3 binary64)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) y y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 275 |
| 0 | 72 | 273 |
| 1 | 273 | 259 |
| 2 | 2224 | 259 |
| 0 | 8523 | 249 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(sqrt.f64 x) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#s(approx (- 1 y) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 (fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/27 binary64) (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 2 binary64)) x (-.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 2 binary64)) x (-.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/27 binary64) (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 2 binary64)) x))) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/9 binary64) x)))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/27 binary64) (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 2 binary64)) x (-.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 2 binary64)) x) (fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))))) (*.f64 (fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) #s(literal -1/3 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) (sqrt.f64 x)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) (sqrt.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 x))) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (neg.f64 (neg.f64 (sqrt.f64 x))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -27 binary64)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64)))) #s(literal -1/3 binary64))) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -27 binary64)) (sqrt.f64 x)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64)))) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64)))) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -27 binary64)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64)))) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64)))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -27 binary64)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64)))) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -27 binary64)) (sqrt.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 x))) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64)))) #s(literal 1/3 binary64))) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 x))))) |
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(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #s(literal 2 binary64)) x (-.f64 (*.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #s(literal 2 binary64)) x) (*.f64 #s(literal 1/9 binary64) x)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 x (fma.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #s(literal 2 binary64)) x (-.f64 (*.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) x)) |
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) #s(literal -1 binary64))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) (sqrt.f64 x))) (neg.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -27 binary64)) (sqrt.f64 x))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)))) (neg.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -27 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) (sqrt.f64 x)) (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -27 binary64)) (sqrt.f64 x)) (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64))) (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -27 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64))))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -3 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -3 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/3 binary64) x) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) x)) |
(neg.f64 (pow.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
Compiled 19 430 to 2 000 computations (89.7% saved)
28 alts after pruning (17 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 499 | 4 | 503 |
| Fresh | 4 | 13 | 17 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 504 | 28 | 532 |
| Status | Accuracy | Program |
|---|---|---|
| 99.4% | (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| 65.8% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))) | |
| ✓ | 99.5% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
| 58.3% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) | |
| ✓ | 99.4% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
| 99.4% | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) | |
| ✓ | 99.5% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| ✓ | 99.5% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 x)) |
| ✓ | 99.5% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
| ✓ | 72.9% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
| 65.7% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) | |
| 34.1% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) | |
| 59.2% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) | |
| ✓ | 40.6% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
| 83.3% | #s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| 34.1% | #s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.f64 #s(approx (+ (* (* (+ (* 3 y) -3) (sqrt x)) x) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| 70.9% | #s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) | |
| 59.9% | #s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| 34.2% | #s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| 99.5% | #s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) | |
| ✓ | 99.6% | #s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
| 99.5% | #s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))) | |
| 59.3% | #s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 #s(approx (+ (* 3 y) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) | |
| 40.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 3 binary64) y)))) | |
| ✓ | 31.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) #s(literal 3 binary64))) |
| ✓ | 40.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| ✓ | 40.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
Compiled 1 866 to 752 computations (59.7% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.f64 #s(approx (+ (* (* (+ (* 3 y) -3) (sqrt x)) x) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 #s(approx (+ (* 3 y) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))) |
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))) |
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) |
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) #s(literal 3 binary64))) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) |
(*.f64 (fma.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 3 binary64) y)))) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 y (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))) |
| Outputs |
|---|
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
3 calls:
| 50.0ms | y |
| 15.0ms | x |
| 15.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.f64 #s(approx (+ (* (* (+ (* 3 y) -3) (sqrt x)) x) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 #s(approx (+ (* 3 y) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 x)) |
3 calls:
| 35.0ms | x |
| 8.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.f64 #s(approx (+ (* (* (+ (* 3 y) -3) (sqrt x)) x) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 #s(approx (+ (* 3 y) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
3 calls:
| 6.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 6.0ms | y |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.f64 #s(approx (+ (* (* (+ (* 3 y) -3) (sqrt x)) x) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) |
3 calls:
| 6.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 5.0ms | y |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.f64 #s(approx (+ (* (* (+ (* 3 y) -3) (sqrt x)) x) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
3 calls:
| 6.0ms | y |
| 5.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | x |
| 97.4% | 3 | y |
| 97.3% | 2 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.f64 #s(approx (+ (* (* (+ (* 3 y) -3) (sqrt x)) x) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
3 calls:
| 8.0ms | y |
| 4.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.4% | 3 | y |
| 91.8% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 89.6% | 2 | x |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.f64 #s(approx (+ (* (* (+ (* 3 y) -3) (sqrt x)) x) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
1 calls:
| 4.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.2% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 14 to 12 computations (14.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
3 calls:
| 3.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.7% | 1 | y |
| 65.7% | 1 | x |
| 65.7% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
3 calls:
| 5.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.6% | 1 | x |
| 40.6% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 40.6% | 1 | y |
Compiled 16 to 16 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
3 calls:
| 1.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.6% | 1 | x |
| 40.6% | 1 | y |
| 40.6% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 16 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 2.0493743617668924e-8 | 3.0224791774768315e-8 |
| 4.0ms | 64× | 0 | valid |
Compiled 201 to 177 computations (11.9% saved)
ival-mult: 1.0ms (35.2% of total)ival-sqrt: 1.0ms (35.2% of total)ival-div: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.763648654609322e+152 | 1.1588370861803649e+157 |
| 0.0ms | -3946666.6626267736 | -1372.0408262670867 |
Compiled 17 to 17 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.763648654609322e+152 | 1.1588370861803649e+157 |
| 0.0ms | -1.0525469568576202 | 2328.455893615997 |
Compiled 17 to 17 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 409 |
| 1 | 114 | 406 |
| 2 | 181 | 406 |
| 3 | 389 | 406 |
| 4 | 663 | 406 |
| 5 | 1171 | 406 |
| 6 | 2208 | 406 |
| 7 | 3803 | 406 |
| 8 | 7356 | 406 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) |
(if (<=.f64 x #s(literal 4533471823554859/151115727451828646838272 binary64)) (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
| Outputs |
|---|
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (sqrt.f64 x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) |
(if (<=.f64 x #s(literal 4533471823554859/151115727451828646838272 binary64)) (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(literal -2000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/3 binary64))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 724 |
| 1 | 557 | 631 |
| 2 | 1881 | 619 |
| 3 | 4071 | 618 |
| 0 | 8173 | 566 |
| 0 | 12 | 32 |
| 0 | 19 | 32 |
| 1 | 66 | 26 |
| 2 | 526 | 26 |
| 3 | 6505 | 26 |
| 0 | 8210 | 25 |
| 0 | 48 | 222 |
| 0 | 75 | 199 |
| 1 | 298 | 189 |
| 2 | 1814 | 189 |
| 0 | 8717 | 187 |
| 0 | 219 | 828 |
| 1 | 638 | 764 |
| 2 | 2032 | 755 |
| 3 | 4525 | 755 |
| 0 | 8118 | 701 |
| 0 | 41 | 180 |
| 0 | 68 | 161 |
| 1 | 255 | 151 |
| 2 | 2248 | 151 |
| 0 | 8456 | 151 |
| 0 | 72 | 175 |
| 1 | 195 | 166 |
| 2 | 608 | 166 |
| 3 | 2217 | 164 |
| 4 | 6431 | 164 |
| 0 | 8212 | 152 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 703 to 342 computations (51.4% saved)
Compiled 880 to 218 computations (75.2% saved)
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