
Time bar (total: 9.3s)
| 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)
| 1.1s | 8 256× | 0 | valid |
| 37.0ms | 260× | 0 | invalid |
ival-sqrt: 309.0ms (41.7% of total)ival-mult: 197.0ms (26.6% of total)ival-div: 118.0ms (15.9% of total)ival-sub: 47.0ms (6.3% of total)ival-add: 46.0ms (6.2% of total)exact: 13.0ms (1.8% of total)ival-true: 8.0ms (1.1% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 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 | - | #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 |
| 73.0ms | 512× | 0 | valid |
Compiled 116 to 40 computations (65.5% saved)
ival-mult: 9.0ms (40.3% of total)ival-div: 4.0ms (17.9% of total)ival-sqrt: 4.0ms (17.9% of total)ival-sub: 2.0ms (9% of total)ival-add: 2.0ms (9% of total)exact: 1.0ms (4.5% 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 | 71 | 66 |
| 2 | 195 | 64 |
| 3 | 611 | 64 |
| 4 | 1634 | 62 |
| 5 | 3132 | 62 |
| 6 | 4740 | 62 |
| 7 | 5680 | 62 |
| 8 | 6469 | 62 |
| 9 | 7374 | 62 |
| 0 | 12 | 14 |
| 0 | 19 | 14 |
| 1 | 31 | 12 |
| 2 | 56 | 12 |
| 3 | 122 | 12 |
| 4 | 289 | 12 |
| 5 | 487 | 12 |
| 6 | 1063 | 12 |
| 7 | 2186 | 12 |
| 8 | 2534 | 12 |
| 9 | 2621 | 12 |
| 10 | 2979 | 12 |
| 11 | 3957 | 12 |
| 12 | 4745 | 12 |
| 13 | 4867 | 12 |
| 14 | 5681 | 12 |
| 15 | 5876 | 12 |
| 16 | 5920 | 12 |
| 17 | 5936 | 12 |
| 18 | 5936 | 12 |
| 19 | 5984 | 12 |
| 20 | 6224 | 12 |
| 21 | 6224 | 12 |
| 22 | 6224 | 12 |
| 23 | 6224 | 12 |
| 0 | 6224 | 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 |
|---|---|---|
| ▶ | 99.4% | (*.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 | 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))) | |
| cost-diff | 2 | (/.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 | 31 | 41 |
| 2 | 56 | 41 |
| 3 | 122 | 41 |
| 4 | 289 | 41 |
| 5 | 487 | 41 |
| 6 | 1063 | 41 |
| 7 | 2186 | 41 |
| 8 | 2534 | 41 |
| 9 | 2621 | 41 |
| 10 | 2979 | 41 |
| 11 | 3957 | 41 |
| 12 | 4745 | 41 |
| 13 | 4867 | 41 |
| 14 | 5681 | 41 |
| 15 | 5876 | 41 |
| 16 | 5920 | 41 |
| 17 | 5936 | 41 |
| 18 | 5936 | 41 |
| 19 | 5984 | 41 |
| 20 | 6224 | 41 |
| 21 | 6224 | 41 |
| 22 | 6224 | 41 |
| 23 | 6224 | 41 |
| 0 | 6224 | 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 | 0.25 | (*.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 | 0.28515625 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.6835626642160779 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 19.0ms | 256× | 0 | valid |
Compiled 51 to 14 computations (72.5% saved)
ival-mult: 4.0ms (37.1% of total)ival-div: 2.0ms (18.6% of total)ival-sqrt: 2.0ms (18.6% of total)ival-sub: 1.0ms (9.3% of total)ival-add: 1.0ms (9.3% 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 | |
|---|---|---|---|---|
| 24.0ms | y | @ | -inf | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 179 |
| 1 | 220 | 170 |
| 2 | 731 | 164 |
| 3 | 2617 | 164 |
| 4 | 7654 | 164 |
| 0 | 8247 | 161 |
| 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 (*.f64 (-.f64 y #s(literal 1 binary64)) #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 (/.f64 #s(literal 1/9 binary64) x) y) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #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 (*.f64 (-.f64 y #s(literal 1 binary64)) #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 (*.f64 (-.f64 y #s(literal 1 binary64)) #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 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 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))) |
(* 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 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(* 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 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 32 |
| 0 | 19 | 32 |
| 1 | 63 | 26 |
| 2 | 446 | 26 |
| 3 | 5669 | 26 |
| 0 | 8839 | 26 |
| 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 (*.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 #s(literal -1/9 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))) |
(*.f64 (neg.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 (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/9 binary64)) |
(*.f64 (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)) #s(literal -1 binary64))) |
(*.f64 (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)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (neg.f64 (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 binary64) x) #s(literal 1/9 binary64)) |
(*.f64 #s(literal 1/9 binary64) (fabs.f64 (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.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 (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 (/.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 (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (*.f64 #s(literal -9 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (fabs.f64 (*.f64 #s(literal 9 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 9 binary64) x))) #s(literal -1 binary64)) |
(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 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
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(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 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 #s(literal 729 binary64) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 #s(literal 729 binary64) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) y) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 81 binary64) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))))) |
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 81 binary64) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))))) |
(fma.f64 #s(literal 1/9 binary64) (fabs.f64 (pow.f64 x #s(literal -1 binary64))) y) |
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) x) 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 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64) y) |
(fma.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64))))) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 #s(literal 729 binary64) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 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))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 81 binary64) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))))) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 #s(literal 729 binary64) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)))))) |
(fma.f64 y #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(fma.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64))))) |
(fma.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64) y) |
(fma.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64) y) |
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 #s(literal 729 binary64) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64))))))) |
(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 -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 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 #s(literal 729 binary64) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)))))) |
(-.f64 (*.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal -1/9 binary64) x)))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 81 binary64) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))))) |
(-.f64 y (/.f64 #s(literal -1/9 binary64) x)) |
(+.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 #s(literal 729 binary64) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 #s(literal 729 binary64) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64))))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 #s(literal 729 binary64) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 #s(literal 729 binary64) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) y (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)))))) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal -1/9 binary64) x)))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 81 binary64) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))))) |
(+.f64 y (/.f64 #s(literal -1/9 binary64) x)) |
(+.f64 (/.f64 #s(literal -1/9 binary64) x) y) |
Compiled 5 594 to 962 computations (82.8% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 220 | 16 | 236 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 220 | 17 | 237 |
| Status | Accuracy | Program |
|---|---|---|
| 56.9% | (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)))) | |
| 56.9% | (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))) | |
| 20.2% | (/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 (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)))))) | |
| 60.4% | (/.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 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))) | |
| 99.1% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 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)) |
| ▶ | 99.1% | (*.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))) |
| 56.4% | (*.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))) | |
| 99.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) | |
| ✓ | 99.4% | (*.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))) |
| ▶ | 69.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
| 63.9% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #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)) | |
| 64.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| 57.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| ▶ | 35.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| 42.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
Compiled 738 to 542 computations (26.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 1 | (*.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))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) | |
| cost-diff | 3 | (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) 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 | (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) | |
| cost-diff | 1 | (*.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| 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 y (/.f64 #s(literal -1/9 binary64) x)) | |
| cost-diff | 0 | (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| cost-diff | 1 | (*.f64 (*.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 268 |
| 0 | 69 | 257 |
| 1 | 112 | 247 |
| 2 | 218 | 247 |
| 3 | 534 | 247 |
| 4 | 1574 | 247 |
| 5 | 3863 | 247 |
| 6 | 7107 | 247 |
| 0 | 8221 | 242 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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)) (sqrt.f64 x)) |
(-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 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 1 binary64) |
(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 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 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 1 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
(/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
(sqrt.f64 x) |
#s(literal 1/3 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))) |
(*.f64 #s(literal 3 binary64) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
#s(literal 3 binary64) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 1/4 binary64)) |
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)) |
(+.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 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) |
(-.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(-.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 1 binary64) |
(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 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #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 1 binary64)) |
(-.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(-.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 1 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(literal 1/3 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))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(sqrt.f64 x) |
(pow.f64 x #s(literal 1/4 binary64)) |
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)) |
(-.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 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.25 | (*.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))) | |
| accuracy | 0.28515625 | (*.f64 #s(literal 3 binary64) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0.4873237793053261 | (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.6835626642160779 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) | |
| accuracy | 0.39453125 | (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) | |
| accuracy | 1.4145861174526753 | (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) | |
| accuracy | 10.51238383797287 | (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) | |
| accuracy | 18.277786105405898 | (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.00390625 | (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) | |
| accuracy | 0.25 | (*.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| accuracy | 0.28515625 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 0.33203125 | (/.f64 #s(literal -1/9 binary64) x) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.23828125 | (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) | |
| accuracy | 0.23828125 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 41.24942935744709 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) | |
| accuracy | 0.00390625 | (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) | |
| accuracy | 0.22265625 | (*.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.2578125 | (*.f64 (*.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| accuracy | 0.33203125 | (/.f64 #s(literal -1/9 binary64) x) |
| 107.0ms | 238× | 0 | valid |
| 6.0ms | 11× | 1 | valid |
| 5.0ms | 7× | 2 | valid |
Compiled 248 to 39 computations (84.3% saved)
ival-mult: 24.0ms (27.1% of total)ival-sqrt: 21.0ms (23.7% of total)ival-pow: 17.0ms (19.2% of total)const: 7.0ms (7.9% of total)ival-div: 6.0ms (6.8% of total)ival-sub: 5.0ms (5.7% of total)ival-pow2: 3.0ms (3.4% of total)adjust: 2.0ms (2.3% of total)ival-add: 2.0ms (2.3% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.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)) (sqrt.f64 x)) |
(-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) |
(-.f64 y (/.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 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal -1/9 binary64) x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
(/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 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))) |
(*.f64 #s(literal 3 binary64) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 1/9 (sqrt (/ 1 x))) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x y)) x) |
(* 3 (* (sqrt x) y)) |
(* (sqrt x) y) |
(sqrt x) |
(/ -1/9 x) |
(* 1/3 (sqrt x)) |
(+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) |
(* 3 (sqrt x)) |
(sqrt (pow x 3)) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* (sqrt x) (- y 1)) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* 3 (* (sqrt (pow x 3)) (- y 1))) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -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))))))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (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))) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* 3 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- y 1)))) |
(* (pow x 2) (+ (* -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))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* -1/3 (* (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) (- (* 1/9 (/ 1 x)) 1)) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(- (* 1/9 (/ 1 x)) 1) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) 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 |
(- (* 3 y) 3) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 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))))) |
(* 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)))))) |
(* 3 y) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 47.0ms | x | @ | 0 | ((* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (* (- (- y (/ -1/9 x)) 1) (sqrt x)) (- (- y (/ -1/9 x)) 1) (- y (/ -1/9 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (sqrt x) (* (- (- y (/ -1/9 x)) 1) (* (sqrt x) 3)) (/ -1/9 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (* (- y 1) 3) (pow (pow x 1/4) 2) (/ 1 (* x 9)) (* (* 3 (pow (pow x 1/4) 2)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (pow (pow x 1/4) 2)) (* (sqrt x) 3) (sqrt (pow x 3)) (* (sqrt x) 1/3)) |
| 43.0ms | y | @ | -inf | ((* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (* (- (- y (/ -1/9 x)) 1) (sqrt x)) (- (- y (/ -1/9 x)) 1) (- y (/ -1/9 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (sqrt x) (* (- (- y (/ -1/9 x)) 1) (* (sqrt x) 3)) (/ -1/9 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (* (- y 1) 3) (pow (pow x 1/4) 2) (/ 1 (* x 9)) (* (* 3 (pow (pow x 1/4) 2)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (pow (pow x 1/4) 2)) (* (sqrt x) 3) (sqrt (pow x 3)) (* (sqrt x) 1/3)) |
| 5.0ms | x | @ | -inf | ((* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (* (- (- y (/ -1/9 x)) 1) (sqrt x)) (- (- y (/ -1/9 x)) 1) (- y (/ -1/9 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (sqrt x) (* (- (- y (/ -1/9 x)) 1) (* (sqrt x) 3)) (/ -1/9 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (* (- y 1) 3) (pow (pow x 1/4) 2) (/ 1 (* x 9)) (* (* 3 (pow (pow x 1/4) 2)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (pow (pow x 1/4) 2)) (* (sqrt x) 3) (sqrt (pow x 3)) (* (sqrt x) 1/3)) |
| 3.0ms | x | @ | inf | ((* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (* (- (- y (/ -1/9 x)) 1) (sqrt x)) (- (- y (/ -1/9 x)) 1) (- y (/ -1/9 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (sqrt x) (* (- (- y (/ -1/9 x)) 1) (* (sqrt x) 3)) (/ -1/9 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (* (- y 1) 3) (pow (pow x 1/4) 2) (/ 1 (* x 9)) (* (* 3 (pow (pow x 1/4) 2)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (pow (pow x 1/4) 2)) (* (sqrt x) 3) (sqrt (pow x 3)) (* (sqrt x) 1/3)) |
| 2.0ms | y | @ | 0 | ((* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (* (- (- y (/ -1/9 x)) 1) (sqrt x)) (- (- y (/ -1/9 x)) 1) (- y (/ -1/9 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (sqrt x) (* (- (- y (/ -1/9 x)) 1) (* (sqrt x) 3)) (/ -1/9 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (* (- y 1) 3) (pow (pow x 1/4) 2) (/ 1 (* x 9)) (* (* 3 (pow (pow x 1/4) 2)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (pow (pow x 1/4) 2)) (* (sqrt x) 3) (sqrt (pow x 3)) (* (sqrt x) 1/3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 728 |
| 1 | 567 | 674 |
| 2 | 2180 | 643 |
| 3 | 5829 | 642 |
| 0 | 8160 | 613 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 1/9 (sqrt (/ 1 x))) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x y)) x) |
(* 3 (* (sqrt x) y)) |
(* (sqrt x) y) |
(sqrt x) |
(/ -1/9 x) |
(* 1/3 (sqrt x)) |
(+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) |
(* 3 (sqrt x)) |
(sqrt (pow x 3)) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* (sqrt x) (- y 1)) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* 3 (* (sqrt (pow x 3)) (- y 1))) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -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))))))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (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))) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* 3 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- y 1)))) |
(* (pow x 2) (+ (* -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))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* -1/3 (* (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) (- (* 1/9 (/ 1 x)) 1)) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(- (* 1/9 (/ 1 x)) 1) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) 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 |
(- (* 3 y) 3) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 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))))) |
(* 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)))))) |
(* 3 y) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
| Outputs |
|---|
(* 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 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.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))) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/.f64 (fma.f64 #s(literal 1/9 binary64) (sqrt.f64 x) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1/9 binary64)) x) |
(/ (+ 1/9 (* x y)) x) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* 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) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(* 1/3 (sqrt x)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt (pow x 3)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 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) |
(* (sqrt x) (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 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 1/9 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* 3 (* (sqrt (pow x 3)) (- y 1))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 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)))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 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 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 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) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (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 1/9 binary64) (*.f64 (-.f64 y #s(literal 1 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) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 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 (pow x 3)) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 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))) (*.f64 x x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x)) |
(- (* 1/9 (/ 1 x)) 1) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 #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)) (+ (* 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 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) |
(fma.f64 #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)) (* 3 (* (sqrt (pow x 3)) y)))) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
-3 |
#s(literal -3 binary64) |
(- (* 3 y) 3) |
(-.f64 (*.f64 #s(literal 3 binary64) 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) #s(literal 1 binary64)) y) y y)) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(*.f64 (sqrt.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) y y)) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) y 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 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* 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 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) y)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (- 3 (* 3 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) 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) #s(literal 1 binary64)) y) y y)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) y y)) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (neg.f64 y)) #s(literal 1 binary64))) |
(* -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 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) y)) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 3 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 194 |
| 0 | 69 | 181 |
| 1 | 209 | 173 |
| 2 | 1334 | 173 |
| 0 | 8148 | 173 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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)) (sqrt.f64 x)) |
(-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) |
(-.f64 y (/.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 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal -1/9 binary64) x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
(/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 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))) |
(*.f64 #s(literal 3 binary64) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)))) (/.f64 (-.f64 (pow.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))) (sqrt.f64 x)) |
(*.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 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(*.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 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 (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 #s(literal 1 binary64) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))))) |
(/.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 #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 3 binary64)) #s(literal 1 binary64)))) (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 (*.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))) (+.f64 #s(literal 1 binary64) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)))) |
(/.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))) (+.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 (*.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))) (+.f64 #s(literal 1 binary64) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)))) |
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(*.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)))) (/.f64 (-.f64 (pow.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
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(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (cosh.f64 (log.f64 (sqrt.f64 x))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))))) |
(sqrt.f64 x) |
(fabs.f64 (sqrt.f64 x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/9 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 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(*.f64 #s(literal 1/9 binary64) (fabs.f64 (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 9 binary64) x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)) #s(literal -1 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 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 9 binary64)) |
(/.f64 (fabs.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 9 binary64)) |
(/.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 9 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -9 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal 1/9 binary64) (fabs.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x))) |
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x))) |
(fabs.f64 (neg.f64 (/.f64 #s(literal -1/9 binary64) x))) |
(fabs.f64 (/.f64 #s(literal 1/9 binary64) x)) |
(fabs.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) (sinh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 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 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(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 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (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)) #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (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)) #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (sqrt.f64 x) x) |
(*.f64 x (sqrt.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(pow.f64 x #s(literal 3/2 binary64)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) |
(+.f64 (cosh.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (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)) (fabs.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
(sqrt.f64 (*.f64 #s(literal 1/9 binary64) x)) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fabs.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
Compiled 18 929 to 2 028 computations (89.3% saved)
31 alts after pruning (27 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 527 | 24 | 551 |
| Fresh | 8 | 3 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 537 | 31 | 568 |
| Status | Accuracy | Program |
|---|---|---|
| 56.9% | (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)))) | |
| 99.3% | (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 56.9% | (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))) | |
| 99.1% | (*.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 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))) |
| 56.5% | (*.f64 (*.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) #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)) |
| 42.0% | (*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 64.9% | (*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 99.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) | |
| ✓ | 99.4% | (*.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))) |
| 84.1% | (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) y y)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| 93.3% | (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1/9 binary64)) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| ▶ | 42.0% | (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| 57.5% | (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| 63.9% | #s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 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)) | |
| 64.8% | #s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x))) | |
| 42.1% | #s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| 76.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) | |
| 86.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) | |
| ▶ | 81.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
| 69.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (*.f64 #s(literal 1/9 binary64) x))) x)) | |
| 66.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) y))) x)) | |
| ▶ | 29.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)) |
| 42.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| ✓ | 35.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| 35.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) | |
| ▶ | 35.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
| 92.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) | |
| ▶ | 99.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
| 2.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))))) |
Compiled 1 487 to 1 153 computations (22.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)) | |
| cost-diff | 0 | (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) | |
| cost-diff | 2 | (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) | |
| cost-diff | 3 | (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) x) | |
| cost-diff | 0 | #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 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 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 400 |
| 0 | 81 | 400 |
| 1 | 141 | 392 |
| 2 | 300 | 386 |
| 3 | 719 | 382 |
| 4 | 1580 | 382 |
| 5 | 3262 | 376 |
| 6 | 7920 | 376 |
| 0 | 8017 | 370 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
#s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.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 (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 (sqrt.f64 x) (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) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(sqrt.f64 x) |
x |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
#s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
(/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(*.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
x |
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)) |
(/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x) |
#s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) |
#s(literal 3 binary64) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))))) |
#s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
#s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.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 y #s(literal 3 binary64) #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 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(sqrt.f64 x) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
#s(literal 3 binary64) |
y |
#s(literal -3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
y |
(sqrt.f64 x) |
x |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (+.f64 #s(literal -1 binary64) y) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) |
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 #s(literal -1 binary64) y) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(*.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
x |
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) x)) |
(/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x) |
(/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) x) |
#s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.926342120479205 | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) | |
| accuracy | 10.51238383797287 | (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x) | |
| accuracy | 18.277786105405898 | (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 26.644611084119276 | #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) | |
| accuracy | 0.1953125 | (*.f64 (sqrt.f64 x) x) | |
| accuracy | 0.39453125 | (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) | |
| accuracy | 1.4145861174526753 | (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) | |
| accuracy | 10.51238383797287 | (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) | |
| accuracy | 0.25 | (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| accuracy | 0.28515625 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 0.33203125 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 36.765449979720714 | #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) | |
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.285820019536884 | (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) | |
| accuracy | 41.24942935744709 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) | |
| accuracy | 0.0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) | |
| accuracy | 0.1328125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.1796875 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) | |
| accuracy | 0.32650375976844204 | (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
| 114.0ms | 238× | 0 | valid |
| 6.0ms | 8× | 2 | valid |
| 6.0ms | 10× | 1 | valid |
Compiled 279 to 46 computations (83.5% saved)
ival-mult: 26.0ms (32.9% of total)ival-add: 17.0ms (21.5% of total)ival-div: 10.0ms (12.7% of total)const: 9.0ms (11.4% of total)ival-sqrt: 6.0ms (7.6% of total)ival-sub: 5.0ms (6.3% of total)ival-pow: 3.0ms (3.8% of total)adjust: 2.0ms (2.5% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
#s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.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 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) y) |
(sqrt.f64 x) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
#s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)) |
(/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x) |
#s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
(*.f64 (sqrt.f64 x) x) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(sqrt (/ 1 x)) |
(* 3 (* (sqrt x) y)) |
(sqrt x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(* 3 (sqrt x)) |
(* 1/3 (sqrt x)) |
(+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) |
(* 3 (* (sqrt (pow x 3)) (- y 1))) |
(* (sqrt x) (- (* 3 y) 3)) |
(sqrt (pow x 3)) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -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) (- y 1)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (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) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- y 1)))) |
(* (pow x 2) (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
(* 3 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- y 1)))) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* (sqrt (pow x 3)) (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 (pow x 3))) (* 1/3 (sqrt x))) x) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(* 3 y) |
(- (* 1/9 (/ 1 x)) 1) |
(+ (* -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 |
(- (* 3 y) 3) |
(* -3 (sqrt (pow x 3))) |
(+ (* -3 (sqrt (pow x 3))) (* 3 (* (sqrt (pow x 3)) y))) |
(* -3 (sqrt x)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* 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 (* 3 (/ 1 y)))) |
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (* 3 (sqrt (pow x 3))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* 3 (* (sqrt (pow x 3)) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (sqrt (/ 1 x)) 1/3) (* (sqrt x) (+ (* 3 y) -3))) (sqrt (/ 1 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 y) (sqrt x)) (* 3 y) (sqrt x) (* (- (- y (/ -1/9 x)) 1) (* (sqrt x) 3)) (- (- y (/ -1/9 x)) 1) (/ 1/9 x) (* (sqrt x) 3) (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) (/ (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (- y 1) 3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (* (* 3 (- y 1)) (sqrt (pow x 3))) (* (sqrt x) (+ (* 3 y) -3)) (* (sqrt x) 1/3) (* (sqrt x) x) (sqrt (pow x 3))) |
| 5.0ms | x | @ | -inf | ((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (sqrt (/ 1 x)) 1/3) (* (sqrt x) (+ (* 3 y) -3))) (sqrt (/ 1 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 y) (sqrt x)) (* 3 y) (sqrt x) (* (- (- y (/ -1/9 x)) 1) (* (sqrt x) 3)) (- (- y (/ -1/9 x)) 1) (/ 1/9 x) (* (sqrt x) 3) (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) (/ (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (- y 1) 3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (* (* 3 (- y 1)) (sqrt (pow x 3))) (* (sqrt x) (+ (* 3 y) -3)) (* (sqrt x) 1/3) (* (sqrt x) x) (sqrt (pow x 3))) |
| 3.0ms | x | @ | inf | ((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (sqrt (/ 1 x)) 1/3) (* (sqrt x) (+ (* 3 y) -3))) (sqrt (/ 1 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 y) (sqrt x)) (* 3 y) (sqrt x) (* (- (- y (/ -1/9 x)) 1) (* (sqrt x) 3)) (- (- y (/ -1/9 x)) 1) (/ 1/9 x) (* (sqrt x) 3) (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) (/ (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (- y 1) 3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (* (* 3 (- y 1)) (sqrt (pow x 3))) (* (sqrt x) (+ (* 3 y) -3)) (* (sqrt x) 1/3) (* (sqrt x) x) (sqrt (pow x 3))) |
| 2.0ms | y | @ | -inf | ((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (sqrt (/ 1 x)) 1/3) (* (sqrt x) (+ (* 3 y) -3))) (sqrt (/ 1 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 y) (sqrt x)) (* 3 y) (sqrt x) (* (- (- y (/ -1/9 x)) 1) (* (sqrt x) 3)) (- (- y (/ -1/9 x)) 1) (/ 1/9 x) (* (sqrt x) 3) (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) (/ (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (- y 1) 3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (* (* 3 (- y 1)) (sqrt (pow x 3))) (* (sqrt x) (+ (* 3 y) -3)) (* (sqrt x) 1/3) (* (sqrt x) x) (sqrt (pow x 3))) |
| 2.0ms | y | @ | inf | ((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (sqrt (/ 1 x)) 1/3) (* (sqrt x) (+ (* 3 y) -3))) (sqrt (/ 1 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 y) (sqrt x)) (* 3 y) (sqrt x) (* (- (- y (/ -1/9 x)) 1) (* (sqrt x) 3)) (- (- y (/ -1/9 x)) 1) (/ 1/9 x) (* (sqrt x) 3) (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) (/ (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (- y 1) 3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (* (* 3 (- y 1)) (sqrt (pow x 3))) (* (sqrt x) (+ (* 3 y) -3)) (* (sqrt x) 1/3) (* (sqrt x) x) (sqrt (pow x 3))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 786 |
| 1 | 574 | 716 |
| 2 | 2303 | 696 |
| 3 | 4973 | 695 |
| 0 | 8303 | 649 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(sqrt (/ 1 x)) |
(* 3 (* (sqrt x) y)) |
(sqrt x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(* 3 (sqrt x)) |
(* 1/3 (sqrt x)) |
(+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) |
(* 3 (* (sqrt (pow x 3)) (- y 1))) |
(* (sqrt x) (- (* 3 y) 3)) |
(sqrt (pow x 3)) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -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) (- y 1)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (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) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- y 1)))) |
(* (pow x 2) (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
(* 3 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- y 1)))) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* (sqrt (pow x 3)) (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 (pow x 3))) (* 1/3 (sqrt x))) x) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(* 3 y) |
(- (* 1/9 (/ 1 x)) 1) |
(+ (* -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 |
(- (* 3 y) 3) |
(* -3 (sqrt (pow x 3))) |
(+ (* -3 (sqrt (pow x 3))) (* 3 (* (sqrt (pow x 3)) y))) |
(* -3 (sqrt x)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* 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 (* 3 (/ 1 y)))) |
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (* 3 (sqrt (pow x 3))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* 3 (* (sqrt (pow x 3)) (/ 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)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) x) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1/9 binary64)) x) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 1/3 (sqrt x)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(* 3 (* (sqrt (pow x 3)) (- y 1))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(sqrt (pow x 3)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 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) |
(* 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 (-.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 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))) (*.f64 x x)) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* -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 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 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) (- y 1)))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 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) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* -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 (-.f64 (*.f64 y #s(literal 3 binary64)) #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) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* (pow x 2) (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 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))) (*.f64 x x)) |
(* 3 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 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))) (*.f64 x x)) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 #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)) (+ (* 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 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(+ (* -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 y) |
(*.f64 y #s(literal 3 binary64)) |
(- (* 1/9 (/ 1 x)) 1) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) |
(fma.f64 #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)) (* 3 (* (sqrt (pow x 3)) y)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
-3 |
#s(literal -3 binary64) |
(- (* 3 y) 3) |
(-.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 3 binary64)) |
(* -3 (sqrt (pow x 3))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(+ (* -3 (sqrt (pow x 3))) (* 3 (* (sqrt (pow x 3)) y))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* -3 (sqrt x)) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #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) #s(literal 1 binary64)) y) y y)) |
(* 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 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) y y) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (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 (sqrt.f64 x) y) #s(literal 1/3 binary64)) y (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) y)) y) |
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (* 3 (sqrt (pow x 3))))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* -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) #s(literal 1 binary64)) y) y y)) |
(* -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 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (neg.f64 y)) #s(literal 1 binary64))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) y (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 3 binary64))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* 3 (* (sqrt (pow x 3)) (/ 1 y)))))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 352 |
| 0 | 81 | 343 |
| 1 | 273 | 321 |
| 2 | 1968 | 321 |
| 0 | 8151 | 318 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
#s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.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 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) y) |
(sqrt.f64 x) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
#s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)) |
(/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x) |
#s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
(*.f64 (sqrt.f64 x) x) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
#s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/9 binary64) x))) (neg.f64 (-.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (fma.f64 (pow.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) #s(literal 2 binary64)) x (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))))) |
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(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (sqrt.f64 x) x) |
(*.f64 x (fabs.f64 (sqrt.f64 x))) |
(*.f64 x (sqrt.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(pow.f64 x #s(literal 3/2 binary64)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) |
(+.f64 (cosh.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) |
Compiled 19 539 to 1 897 computations (90.3% saved)
33 alts after pruning (26 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 441 | 17 | 458 |
| Fresh | 13 | 9 | 22 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 456 | 33 | 489 |
| Status | Accuracy | Program |
|---|---|---|
| 56.9% | (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)))) | |
| 99.3% | (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 56.9% | (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))) | |
| ✓ | 99.4% | (*.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)) |
| 42.0% | (*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 42.0% | (*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| 64.9% | (*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 (/.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 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 93.3% | (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1/9 binary64)) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| 42.0% | (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| ✓ | 42.0% | (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| 57.5% | (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| ▶ | 42.1% | #s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
| 76.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) x) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x))) | |
| 59.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 #s(approx (* (- y 1) 3) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) | |
| 66.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) (fma.f64 (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) y (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))) x)) | |
| 42.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| 31.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (/.f64 (*.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) y))) x)) | |
| 39.9% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))) x)) | |
| ▶ | 41.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) x)) |
| 41.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) x) (sqrt.f64 x))) x)) | |
| ✓ | 35.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| ▶ | 35.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
| 35.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) | |
| ✓ | 35.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
| 57.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) | |
| ▶ | 99.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
| ▶ | 92.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))) |
| 64.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 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)))))))) | |
| ✓ | 99.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
| 2.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))))) | |
| 2.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
Compiled 1 744 to 1 299 computations (25.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))) | |
| cost-diff | 4 | (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) x) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) x)) | |
| cost-diff | 1 | (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) | |
| cost-diff | 0 | (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (fma.f64 y #s(literal 3 binary64) #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 | 54 | 438 |
| 0 | 77 | 439 |
| 1 | 139 | 431 |
| 2 | 309 | 431 |
| 3 | 699 | 422 |
| 4 | 1497 | 422 |
| 5 | 2787 | 416 |
| 6 | 5395 | 411 |
| 7 | 7671 | 411 |
| 0 | 8172 | 401 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
#s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
y |
#s(literal 3 binary64) |
#s(literal -3 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
#s(literal 1/3 binary64) |
#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) #s(literal 3 binary64)) y) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
y |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 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) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) x)) |
(/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) x) |
#s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) |
(*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))) |
#s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1/3 binary64) y) |
#s(literal 1/3 binary64) |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(sqrt.f64 x) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
#s(literal 3 binary64) |
#s(literal -3 binary64) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
#s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
#s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
y |
#s(literal 3 binary64) |
#s(literal -3 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
#s(literal 1/3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
y |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 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) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) x)) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) x)) x)) |
(/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) x) |
(/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) x)) x) |
#s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) |
#s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) x)) |
(*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x) |
(*.f64 (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) x) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))) |
#s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))) |
#s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1/3 binary64) y) |
#s(literal 1/3 binary64) |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(sqrt.f64 x) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
#s(literal 3 binary64) |
#s(literal -3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3046875 | (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.32650375976844204 | (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) | |
| accuracy | 0.33984375 | (/.f64 #s(literal 1/3 binary64) y) | |
| accuracy | 4.6490200797773085 | (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) | |
| accuracy | 0.1640625 | (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x) | |
| accuracy | 0.32650375976844204 | (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| accuracy | 10.51238383797287 | (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) x) | |
| accuracy | 26.644611084119276 | #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.1328125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.3671875 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) | |
| accuracy | 36.89193020858364 | #s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.21484375 | (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) | |
| accuracy | 0.28515625 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 41.24942935744709 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) | |
| accuracy | 0.0 | #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) | |
| accuracy | 0.0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) | |
| accuracy | 0.193691259768442 | (fma.f64 (fma.f64 y #s(literal 3 binary64) #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)) |
| 124.0ms | 238× | 0 | valid |
| 18.0ms | 10× | 1 | valid |
| 6.0ms | 8× | 2 | valid |
Compiled 286 to 47 computations (83.6% saved)
ival-mult: 55.0ms (43.5% of total)ival-div: 29.0ms (23% of total)ival-add: 18.0ms (14.3% of total)const: 7.0ms (5.5% of total)ival-sqrt: 6.0ms (4.8% of total)ival-sub: 5.0ms (4% of total)ival-pow: 3.0ms (2.4% of total)adjust: 2.0ms (1.6% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
#s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
#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) #s(literal 3 binary64)) y) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) x)) |
(/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) x) |
#s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))) |
#s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x) |
(/.f64 #s(literal 1/3 binary64) y) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(* 3 (* (sqrt x) y)) |
(* 3 (sqrt x)) |
(sqrt x) |
(sqrt (/ 1 x)) |
(/ 1 x) |
(* 3 (* (sqrt x) (- y 1))) |
(* 1/3 (sqrt x)) |
(+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 3 (* (sqrt (pow x 3)) (- y 1))) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -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) (- y 1)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (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)))))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* 3 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- y 1)))) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y))) |
(* -3 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- y 1)))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
-3 |
(- (* 3 y) 3) |
(* -3 (sqrt x)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) 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))) |
(+ (* -3 (sqrt (pow x 3))) (* 3 (* (sqrt (pow x 3)) y))) |
(/ 1/3 y) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* 3 y) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(* 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 (pow x 3)) (/ 1 y))) (* 3 (sqrt (pow x 3))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -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)) (* 3 (* (sqrt x) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* 3 (* (sqrt (pow x 3)) (/ 1 y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | x | @ | inf | ((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (+ (* y 3) -3) (sqrt x)) (/ 1/3 (sqrt x))) (+ (* y 3) -3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (sqrt x) (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (* (sqrt (/ 1 x)) 1/3) (sqrt (/ 1 x)) (/ 1 x) (* (* (- y 1) 3) (sqrt x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (+ (* (* (/ 1/3 y) (sqrt (/ 1 x))) y) (* (sqrt x) (+ (* y 3) -3))) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (* (/ 1/3 y) (sqrt (/ 1 x))) (/ 1/3 (sqrt x)) (* (* (* (- y 1) 3) (sqrt x)) x) (/ 1/3 y) (* (sqrt x) (+ (* y 3) -3))) |
| 7.0ms | x | @ | -inf | ((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (+ (* y 3) -3) (sqrt x)) (/ 1/3 (sqrt x))) (+ (* y 3) -3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (sqrt x) (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (* (sqrt (/ 1 x)) 1/3) (sqrt (/ 1 x)) (/ 1 x) (* (* (- y 1) 3) (sqrt x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (+ (* (* (/ 1/3 y) (sqrt (/ 1 x))) y) (* (sqrt x) (+ (* y 3) -3))) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (* (/ 1/3 y) (sqrt (/ 1 x))) (/ 1/3 (sqrt x)) (* (* (* (- y 1) 3) (sqrt x)) x) (/ 1/3 y) (* (sqrt x) (+ (* y 3) -3))) |
| 5.0ms | y | @ | -inf | ((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (+ (* y 3) -3) (sqrt x)) (/ 1/3 (sqrt x))) (+ (* y 3) -3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (sqrt x) (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (* (sqrt (/ 1 x)) 1/3) (sqrt (/ 1 x)) (/ 1 x) (* (* (- y 1) 3) (sqrt x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (+ (* (* (/ 1/3 y) (sqrt (/ 1 x))) y) (* (sqrt x) (+ (* y 3) -3))) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (* (/ 1/3 y) (sqrt (/ 1 x))) (/ 1/3 (sqrt x)) (* (* (* (- y 1) 3) (sqrt x)) x) (/ 1/3 y) (* (sqrt x) (+ (* y 3) -3))) |
| 4.0ms | x | @ | 0 | ((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (+ (* y 3) -3) (sqrt x)) (/ 1/3 (sqrt x))) (+ (* y 3) -3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (sqrt x) (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (* (sqrt (/ 1 x)) 1/3) (sqrt (/ 1 x)) (/ 1 x) (* (* (- y 1) 3) (sqrt x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (+ (* (* (/ 1/3 y) (sqrt (/ 1 x))) y) (* (sqrt x) (+ (* y 3) -3))) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (* (/ 1/3 y) (sqrt (/ 1 x))) (/ 1/3 (sqrt x)) (* (* (* (- y 1) 3) (sqrt x)) x) (/ 1/3 y) (* (sqrt x) (+ (* y 3) -3))) |
| 3.0ms | y | @ | 0 | ((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (+ (* y 3) -3) (sqrt x)) (/ 1/3 (sqrt x))) (+ (* y 3) -3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (sqrt x) (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (* (sqrt (/ 1 x)) 1/3) (sqrt (/ 1 x)) (/ 1 x) (* (* (- y 1) 3) (sqrt x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (+ (* (* (/ 1/3 y) (sqrt (/ 1 x))) y) (* (sqrt x) (+ (* y 3) -3))) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (* (/ 1/3 y) (sqrt (/ 1 x))) (/ 1/3 (sqrt x)) (* (* (* (- y 1) 3) (sqrt x)) x) (/ 1/3 y) (* (sqrt x) (+ (* y 3) -3))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 771 |
| 1 | 538 | 686 |
| 2 | 2256 | 653 |
| 3 | 4840 | 653 |
| 0 | 8120 | 616 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(* 3 (* (sqrt x) y)) |
(* 3 (sqrt x)) |
(sqrt x) |
(sqrt (/ 1 x)) |
(/ 1 x) |
(* 3 (* (sqrt x) (- y 1))) |
(* 1/3 (sqrt x)) |
(+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 3 (* (sqrt (pow x 3)) (- y 1))) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -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) (- y 1)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (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)))))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* 3 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- y 1)))) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y))) |
(* -3 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- y 1)))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
-3 |
(- (* 3 y) 3) |
(* -3 (sqrt x)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) 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))) |
(+ (* -3 (sqrt (pow x 3))) (* 3 (* (sqrt (pow x 3)) y))) |
(/ 1/3 y) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* 3 y) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(* 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 (pow x 3)) (/ 1 y))) (* 3 (sqrt (pow x 3))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -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)) (* 3 (* (sqrt x) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* 3 (* (sqrt (pow x 3)) (/ 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)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.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 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) x) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) |
(* 1/3 (sqrt x)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 3 (* (sqrt (pow x 3)) (- y 1))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 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) |
(* 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 (-.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 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))) (*.f64 x x)) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 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 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 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) (- y 1)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 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) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* -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 (-.f64 (*.f64 y #s(literal 3 binary64)) #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 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 3 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 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))) (*.f64 x 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 (-.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* 1/3 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -3 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 #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)) (+ (* 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 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(+ (* -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 |
#s(literal -3 binary64) |
(- (* 3 y) 3) |
(-.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 3 binary64)) |
(* -3 (sqrt x)) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) |
(fma.f64 #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)) (* 3 (* (sqrt (pow x 3)) y)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(* -3 (sqrt (pow x 3))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(+ (* -3 (sqrt (pow x 3))) (* 3 (* (sqrt (pow x 3)) y))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(/ 1/3 y) |
(/.f64 #s(literal 1/3 binary64) y) |
(* 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) #s(literal 1 binary64)) y) y y)) |
(* 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 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* y (- 3 (* 3 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) y)) y) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (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 (sqrt.f64 x) y) #s(literal 1/3 binary64)) y (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (* 3 (sqrt (pow x 3))))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* -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) #s(literal 1 binary64)) y) y y)) |
(* -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 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 3 binary64))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) y (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* 3 (* (sqrt (pow x 3)) (/ 1 y)))))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 392 |
| 0 | 77 | 383 |
| 1 | 280 | 360 |
| 2 | 1943 | 360 |
| 0 | 8233 | 353 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
#s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
#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) #s(literal 3 binary64)) y) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) x)) |
(/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) x) |
#s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))) |
#s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x) |
(/.f64 #s(literal 1/3 binary64) y) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
| Outputs |
|---|
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#s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
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(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)) (sqrt.f64 x)) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (neg.f64 y)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (*.f64 y (sqrt.f64 x)))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (*.f64 (sqrt.f64 x) y))) |
(/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x))) |
(/.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) (neg.f64 y))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)))) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 (sqrt.f64 x) (neg.f64 y)))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 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 1/3 binary64) (fabs.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal 1/3 binary64) (fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))) |
(/.f64 #s(literal 1/3 binary64) (fabs.f64 (sqrt.f64 x))) |
(/.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))) |
(sqrt.f64 (/.f64 #s(literal 1/9 binary64) x)) |
(fabs.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fabs.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 x (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) x)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) |
(*.f64 x (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(literal 3 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 y)) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal 1/3 binary64) y) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) y)) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64)) (sqrt.f64 x))) (neg.f64 (-.f64 (*.f64 y #s(literal 3 binary64)) #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) (-.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64)))) (neg.f64 (-.f64 (*.f64 y #s(literal 3 binary64)) #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 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 27 binary64) (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64)) (sqrt.f64 x)) (-.f64 (*.f64 y #s(literal 3 binary64)) #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) (-.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64))) (-.f64 (*.f64 y #s(literal 3 binary64)) #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))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 27 binary64) (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) (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 y #s(literal 3 binary64)) (*.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) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
(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) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -3 binary64))) |
(-.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 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
Compiled 28 373 to 2 344 computations (91.7% saved)
32 alts after pruning (25 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 524 | 9 | 533 |
| Fresh | 5 | 16 | 21 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 6 | 7 |
| Total | 534 | 32 | 566 |
| Status | Accuracy | Program |
|---|---|---|
| 56.9% | (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)))) | |
| 99.3% | (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 56.9% | (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))) | |
| ✓ | 99.4% | (*.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)) |
| 42.0% | (*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 64.9% | (*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 42.0% | (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| ✓ | 42.0% | (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| 57.5% | (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| 42.1% | #s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) | |
| 42.1% | #s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))) | |
| 42.2% | #s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) | |
| 76.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) x) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x))) | |
| 59.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 #s(approx (* (- y 1) 3) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) | |
| 66.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) (fma.f64 (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) y (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))) x)) | |
| 42.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| 31.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (/.f64 (*.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) y))) x)) | |
| 39.9% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))) x)) | |
| 41.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) x) (sqrt.f64 x))) x)) | |
| 41.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) x)) | |
| 19.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 #s(approx (* (* (- y 1) 3) (sqrt x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) x)) x)) | |
| 35.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) y)) | |
| ✓ | 35.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| ✓ | 35.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
| ✓ | 35.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
| 57.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) | |
| 57.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) #s(approx (+ (* y 3) -3) #s(literal -3 binary64)))))) | |
| 64.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 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)))))))) | |
| ✓ | 99.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
| 76.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 #s(approx (+ (* y 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) | |
| 64.9% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 #s(approx (+ (* y 3) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
Compiled 2 929 to 1 016 computations (65.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#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)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 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 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 #s(approx (* (* (- y 1) 3) (sqrt x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) x)) x)) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 #s(approx (+ (* y 3) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 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 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) x) (sqrt.f64 x))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) x)) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1/9 binary64)) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 #s(approx (+ (* y 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x) (/.f64 #s(literal 1/3 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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 #s(approx (* (- y 1) 3) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) y y)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
(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 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #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)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) #s(approx (+ (* y 3) -3) #s(literal -3 binary64)))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))) x)) |
(*.f64 (*.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) 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))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (/.f64 (*.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) y))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (*.f64 #s(literal 1/9 binary64) x))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) x) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) y))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) (fma.f64 (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) y (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))) x)) |
(/.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 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #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 (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 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)))))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) y)) |
(*.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 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))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 (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)))))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
3 calls:
| 47.0ms | x |
| 22.0ms | y |
| 19.0ms | (*.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 |
|---|---|---|
| 99.5% | 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) y) (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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#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)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 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 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 #s(approx (* (* (- y 1) 3) (sqrt x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) x)) x)) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 #s(approx (+ (* y 3) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 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 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) x) (sqrt.f64 x))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) x)) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1/9 binary64)) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 #s(approx (+ (* y 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x) (/.f64 #s(literal 1/3 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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 #s(approx (* (- y 1) 3) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
3 calls:
| 18.0ms | (*.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))) |
| 16.0ms | x |
| 11.0ms | 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) y) (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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#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)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 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 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 #s(approx (* (* (- y 1) 3) (sqrt x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) x)) x)) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 #s(approx (+ (* y 3) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 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 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) x) (sqrt.f64 x))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) x)) x)) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1/9 binary64)) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 #s(approx (+ (* y 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x) (/.f64 #s(literal 1/3 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 (*.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
3 calls:
| 16.0ms | y |
| 10.0ms | (*.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))) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | y |
| 99.4% | 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) y) (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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#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)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 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 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 #s(approx (* (* (- y 1) 3) (sqrt x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) x)) x)) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 #s(approx (+ (* y 3) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 #s(approx (+ (* y 3) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
3 calls:
| 33.0ms | (*.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))) |
| 33.0ms | y |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 2 | x |
| 87.5% | 3 | y |
| 93.0% | 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 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#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)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 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 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 #s(approx (* (* (- y 1) 3) (sqrt x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) x)) x)) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
1 calls:
| 16.0ms | (*.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 |
|---|---|---|
| 93.0% | 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) y) (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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#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)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 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 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 #s(approx (* (* (- y 1) 3) (sqrt x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) x)) x)) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
1 calls:
| 10.0ms | (*.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 |
|---|---|---|
| 92.9% | 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) y) (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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#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)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 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 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (* (sqrt x) x)) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) (*.f64 #s(approx (* (* (- y 1) 3) (sqrt x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) x)) x)) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
1 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 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) y) (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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#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)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
1 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 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) y) (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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#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)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
#s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
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 |
|---|---|---|
| 92.6% | 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) y) (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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#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)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) |
3 calls:
| 4.0ms | y |
| 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 |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.4% | 1 | y |
| 57.4% | 1 | x |
| 57.4% | 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) y) (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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#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)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
3 calls:
| 2.0ms | (*.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 |
|---|---|---|
| 35.4% | 1 | y |
| 35.4% | 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))) |
| 35.4% | 1 | x |
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) y) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
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 |
|---|---|---|
| 35.4% | 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))) |
| 35.4% | 1 | x |
| 35.4% | 1 | y |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.4987012333738056e+143 | 2.5125787720203143e+146 |
| 0.0ms | -440919113.14712954 | -115694.69549036479 |
Compiled 17 to 17 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.4987012333738056e+143 | 2.5125787720203143e+146 |
| 0.0ms | -8.153979513935331e+27 | -5.779947979769528e+24 |
Compiled 17 to 17 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.4987012333738056e+143 | 2.5125787720203143e+146 |
| 0.0ms | -8.153979513935331e+27 | -5.779947979769528e+24 |
Compiled 17 to 17 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0263820324563556e+152 | 4.6297570962623753e+157 |
| 0.0ms | -115694.69549036479 | 2.978714383823049 |
Compiled 17 to 17 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.4987012333738056e+143 | 2.5125787720203143e+146 |
| 0.0ms | -115694.69549036479 | 2.978714383823049 |
Compiled 17 to 17 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.4987012333738056e+143 | 2.5125787720203143e+146 |
| 0.0ms | -115694.69549036479 | 2.978714383823049 |
Compiled 17 to 17 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 735 |
| 1 | 152 | 735 |
| 2 | 239 | 735 |
| 3 | 432 | 735 |
| 4 | 813 | 735 |
| 5 | 1424 | 735 |
| 6 | 2615 | 735 |
| 7 | 4398 | 735 |
| 8 | 5358 | 735 |
| 9 | 6051 | 735 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 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)) |
(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 -400000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #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 500000000000000011872716179325552678704328963914341093736732494335118714771010286284088814108041647064672984566920058037896706584945040786718720 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 #s(approx (+ (* y 3) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(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 -4999999999999999791559868416 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #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 500000000000000011872716179325552678704328963914341093736732494335118714771010286284088814108041647064672984566920058037896706584945040786718720 binary64)) (*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(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 -4999999999999999791559868416 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #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 500000000000000011872716179325552678704328963914341093736732494335118714771010286284088814108041647064672984566920058037896706584945040786718720 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(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 -100000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #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 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) #s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(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 -100000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #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 500000000000000011872716179325552678704328963914341093736732494335118714771010286284088814108041647064672984566920058037896706584945040786718720 binary64)) #s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))) |
(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 -100000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) (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 500000000000000011872716179325552678704328963914341093736732494335118714771010286284088814108041647064672984566920058037896706584945040786718720 binary64)) #s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -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 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 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)) |
(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 -400000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #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 500000000000000011872716179325552678704328963914341093736732494335118714771010286284088814108041647064672984566920058037896706584945040786718720 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 #s(approx (+ (* y 3) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(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 -400000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #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 500000000000000011872716179325552678704328963914341093736732494335118714771010286284088814108041647064672984566920058037896706584945040786718720 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (* (- y 1) 3) (sqrt (pow x 3))) (* (sqrt x) 1/3)) x) (fma.f64 #s(approx (+ (* y 3) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(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 -4999999999999999791559868416 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #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 500000000000000011872716179325552678704328963914341093736732494335118714771010286284088814108041647064672984566920058037896706584945040786718720 binary64)) (*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(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 -4999999999999999791559868416 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #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 500000000000000011872716179325552678704328963914341093736732494335118714771010286284088814108041647064672984566920058037896706584945040786718720 binary64)) (*.f64 (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(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 -4999999999999999791559868416 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #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 500000000000000011872716179325552678704328963914341093736732494335118714771010286284088814108041647064672984566920058037896706584945040786718720 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(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 -4999999999999999791559868416 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #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 500000000000000011872716179325552678704328963914341093736732494335118714771010286284088814108041647064672984566920058037896706584945040786718720 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(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 -100000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #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 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) #s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(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 -100000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #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 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) #s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) (*.f64 #s(approx (- (- y (/ -1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(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 -100000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #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 500000000000000011872716179325552678704328963914341093736732494335118714771010286284088814108041647064672984566920058037896706584945040786718720 binary64)) #s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))) |
(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 -100000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #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 500000000000000011872716179325552678704328963914341093736732494335118714771010286284088814108041647064672984566920058037896706584945040786718720 binary64)) #s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))) |
(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 -100000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) (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 500000000000000011872716179325552678704328963914341093736732494335118714771010286284088814108041647064672984566920058037896706584945040786718720 binary64)) #s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))) |
(if (or (<=.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 -100000 binary64)) (not (<=.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 500000000000000011872716179325552678704328963914341093736732494335118714771010286284088814108041647064672984566920058037896706584945040786718720 binary64)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) #s(approx (* (* (- (- y (/ -1/9 x)) 1) (sqrt x)) 3) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -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 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 728 |
| 1 | 567 | 674 |
| 2 | 2180 | 643 |
| 3 | 5829 | 642 |
| 0 | 8160 | 613 |
| 0 | 43 | 194 |
| 0 | 69 | 181 |
| 1 | 209 | 173 |
| 2 | 1334 | 173 |
| 0 | 8148 | 173 |
| 0 | 54 | 392 |
| 0 | 77 | 383 |
| 1 | 280 | 360 |
| 2 | 1943 | 360 |
| 0 | 8233 | 353 |
| 0 | 161 | 771 |
| 1 | 538 | 686 |
| 2 | 2256 | 653 |
| 3 | 4840 | 653 |
| 0 | 8120 | 616 |
| 0 | 56 | 352 |
| 0 | 81 | 343 |
| 1 | 273 | 321 |
| 2 | 1968 | 321 |
| 0 | 8151 | 318 |
| 0 | 172 | 786 |
| 1 | 574 | 716 |
| 2 | 2303 | 696 |
| 3 | 4973 | 695 |
| 0 | 8303 | 649 |
| 0 | 72 | 179 |
| 1 | 220 | 170 |
| 2 | 731 | 164 |
| 3 | 2617 | 164 |
| 4 | 7654 | 164 |
| 0 | 8247 | 161 |
| 0 | 12 | 32 |
| 0 | 19 | 32 |
| 1 | 63 | 26 |
| 2 | 446 | 26 |
| 3 | 5669 | 26 |
| 0 | 8839 | 26 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | 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 1 388 to 640 computations (53.9% saved)
Compiled 1 532 to 276 computations (82% saved)
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