
Time bar (total: 8.0s)
| 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)
| 958.0ms | 8 256× | 0 | valid |
| 16.0ms | 231× | 0 | invalid |
ival-mult: 264.0ms (43.9% of total)ival-div: 144.0ms (23.9% of total)ival-sqrt: 90.0ms (15% of total)ival-add: 41.0ms (6.8% of total)ival-sub: 40.0ms (6.6% of total)exact: 13.0ms (2.2% of total)ival-true: 7.0ms (1.2% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 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 |
| 44.0ms | 512× | 0 | valid |
Compiled 165 to 52 computations (68.5% saved)
ival-mult: 11.0ms (43% of total)ival-div: 4.0ms (15.6% of total)ival-sqrt: 4.0ms (15.6% of total)ival-sub: 2.0ms (7.8% of total)ival-add: 2.0ms (7.8% of total)exact: 1.0ms (3.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 78 |
| 1 | 84 | 64 |
| 2 | 304 | 62 |
| 3 | 1272 | 62 |
| 4 | 3592 | 62 |
| 5 | 5843 | 62 |
| 6 | 7559 | 62 |
| 0 | 12 | 14 |
| 0 | 19 | 14 |
| 1 | 34 | 12 |
| 2 | 75 | 12 |
| 3 | 186 | 12 |
| 4 | 324 | 12 |
| 5 | 425 | 12 |
| 6 | 841 | 12 |
| 7 | 1707 | 12 |
| 8 | 2627 | 12 |
| 9 | 3358 | 12 |
| 10 | 3543 | 12 |
| 11 | 3573 | 12 |
| 12 | 3574 | 12 |
| 13 | 3574 | 12 |
| 14 | 3776 | 12 |
| 15 | 4021 | 12 |
| 16 | 4491 | 12 |
| 17 | 4491 | 12 |
| 18 | 4491 | 12 |
| 0 | 4491 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
Compiled 14 to 12 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 128 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 49 |
| 0 | 19 | 49 |
| 1 | 34 | 41 |
| 2 | 75 | 41 |
| 3 | 186 | 41 |
| 4 | 324 | 41 |
| 5 | 425 | 41 |
| 6 | 841 | 41 |
| 7 | 1707 | 41 |
| 8 | 2627 | 41 |
| 9 | 3358 | 41 |
| 10 | 3543 | 41 |
| 11 | 3573 | 41 |
| 12 | 3574 | 41 |
| 13 | 3574 | 41 |
| 14 | 3776 | 41 |
| 15 | 4021 | 41 |
| 16 | 4491 | 41 |
| 17 | 4491 | 41 |
| 18 | 4491 | 41 |
| 0 | 4491 | 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 | 0.0078125 | (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) | |
| accuracy | 0.1953125 | (*.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 | 0.26953125 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.4814727908652683 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 21.0ms | 256× | 0 | valid |
Compiled 100 to 26 computations (74% saved)
ival-mult: 4.0ms (32.3% of total)ival-div: 2.0ms (16.2% of total)ival-sub: 2.0ms (16.2% of total)ival-sqrt: 2.0ms (16.2% of total)ival-add: 1.0ms (8.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| Outputs |
|---|
(/ 1/9 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (sqrt x)) |
(sqrt x) |
(/ (+ 1/9 (* x y)) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 2.0ms | x | @ | 0 | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1.0ms | x | @ | inf | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1.0ms | y | @ | 0 | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1.0ms | y | @ | inf | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 175 |
| 1 | 195 | 166 |
| 2 | 608 | 166 |
| 3 | 2207 | 164 |
| 4 | 6083 | 164 |
| 0 | 8438 | 152 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/9 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (sqrt x)) |
(sqrt x) |
(/ (+ 1/9 (* x y)) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
| Outputs |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) 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 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) 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 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 32 |
| 0 | 19 | 32 |
| 1 | 66 | 26 |
| 2 | 521 | 26 |
| 3 | 6476 | 26 |
| 0 | 8295 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64)) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x)) |
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 4 binary64)) (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (+.f64 (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 6 binary64)))) (fma.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (-.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 4 binary64)))) |
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(/.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 y y (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64)))) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) |
(neg.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64))) (fma.f64 #s(literal -1 binary64) y (/.f64 #s(literal 1/9 binary64) x)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))))) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)))) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64)))) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) y) |
(fma.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) y) |
(fma.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64) y) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) |
(fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64)) y) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64) y) |
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x) y) |
(fma.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))))) |
(fma.f64 y #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64) y) |
(fma.f64 #s(literal 1 binary64) y (/.f64 #s(literal 1/9 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x) y) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (/.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(-.f64 (*.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64)))) |
(-.f64 y (/.f64 #s(literal -1/9 binary64) x)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
Compiled 4 990 to 793 computations (84.1% saved)
19 alts after pruning (18 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 196 | 18 | 214 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 196 | 19 | 215 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) | |
| 99.4% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| 99.4% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| 99.1% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) | |
| 99.5% | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| 99.2% | (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| 99.4% | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| ▶ | 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) |
| ▶ | 61.8% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) |
| ▶ | 99.5% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) |
| ✓ | 99.5% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 25.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (fma.f64 y y (*.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) #s(literal 1 binary64))) | |
| 63.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.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 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) | |
| 66.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) | |
| 61.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) | |
| ▶ | 40.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| 34.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| ▶ | 99.5% | #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)))) |
Compiled 750 to 598 computations (20.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 128 | (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) | |
| cost-diff | 128 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 128 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) | |
| cost-diff | 0 | #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)))) | |
| 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 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 128 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) | |
| cost-diff | 704 | (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 279 |
| 0 | 75 | 287 |
| 1 | 135 | 265 |
| 2 | 286 | 265 |
| 3 | 566 | 260 |
| 4 | 1040 | 260 |
| 5 | 2224 | 260 |
| 6 | 4528 | 260 |
| 7 | 7718 | 260 |
| 0 | 8005 | 256 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64)) |
(+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) |
y |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(literal -9 binary64) |
#s(literal 1 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) |
#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 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(sqrt.f64 x) |
x |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal -3 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(literal -1/9 binary64) |
y |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) |
(pow.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/81 binary64) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) |
(*.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) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64)) |
(-.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) |
(-.f64 y (/.f64 #s(literal -1/9 binary64) x)) |
y |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(literal -9 binary64) |
#s(literal 1 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
y |
#s(literal 3 binary64) |
#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)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(*.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 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal -3 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (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 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64)) |
(-.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) |
(-.f64 y (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(literal -1/9 binary64) |
y |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (fma.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 y y)) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (fma.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 y y)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(/.f64 (fma.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 y y)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) |
(fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 y) y)) |
(pow.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/81 binary64) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.26953125 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.30859375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 5.033512303900706 | (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) | |
| accuracy | 33.43445885600306 | (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.16863251953688402 | (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) | |
| accuracy | 0.1953125 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) | |
| accuracy | 0.26953125 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.0 | #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)))) | |
| accuracy | 0.09765625 | (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) | |
| accuracy | 0.30697250976844204 | (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) | |
| accuracy | 0.4140625 | (/.f64 #s(literal 1/3 binary64) x) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.1875 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 0.2578125 | (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) | |
| accuracy | 38.058776370530055 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) | |
| accuracy | 0.0078125 | (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) | |
| accuracy | 0.1953125 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) | |
| accuracy | 0.26953125 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.28515625 | (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
| 95.0ms | 222× | 0 | valid |
| 12.0ms | 21× | 1 | valid |
| 9.0ms | 13× | 2 | valid |
Compiled 550 to 97 computations (82.4% saved)
const: 27.0ms (30.5% of total)ival-mult: 21.0ms (23.7% of total)ival-div: 11.0ms (12.4% of total)ival-sub: 8.0ms (9% of total)ival-add: 7.0ms (7.9% of total)ival-neg: 6.0ms (6.8% of total)adjust: 4.0ms (4.5% of total)ival-pow: 3.0ms (3.4% of total)ival-sqrt: 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 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(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 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) y) |
#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 (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 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) |
(/.f64 #s(literal 1/3 binary64) x) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) |
(/.f64 #s(literal 1/9 binary64) x) |
| 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) |
(* 3 (* (sqrt x) y)) |
(* (sqrt x) y) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x) |
(/ 1/3 x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (+ 1 (* -1 y)))) (* 1/3 (sqrt x))) x) |
(/ 1/81 (pow x 2)) |
(/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2)) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (- 1 y))) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (- 1 y))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* -3 (- 1 y)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2)))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 y)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (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)))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* 3 y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | x | @ | inf | ((/ (/ -1 x) -9) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* 3 (sqrt x)) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (+ (* (- 1 y) -3) (/ 1/3 x)) (+ (* (/ -1 x) -1/9) y) (* (* 3 (sqrt x)) (- (+ (* (/ -1 x) -1/9) y) 1)) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (+ y (/ (/ -1 x) -9)) (/ 1/3 x) (+ (* (pow x -2) 1/81) (* (neg y) y)) (/ 1/9 x)) |
| 7.0ms | x | @ | -inf | ((/ (/ -1 x) -9) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* 3 (sqrt x)) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (+ (* (- 1 y) -3) (/ 1/3 x)) (+ (* (/ -1 x) -1/9) y) (* (* 3 (sqrt x)) (- (+ (* (/ -1 x) -1/9) y) 1)) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (+ y (/ (/ -1 x) -9)) (/ 1/3 x) (+ (* (pow x -2) 1/81) (* (neg y) y)) (/ 1/9 x)) |
| 6.0ms | x | @ | 0 | ((/ (/ -1 x) -9) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* 3 (sqrt x)) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (+ (* (- 1 y) -3) (/ 1/3 x)) (+ (* (/ -1 x) -1/9) y) (* (* 3 (sqrt x)) (- (+ (* (/ -1 x) -1/9) y) 1)) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (+ y (/ (/ -1 x) -9)) (/ 1/3 x) (+ (* (pow x -2) 1/81) (* (neg y) y)) (/ 1/9 x)) |
| 5.0ms | y | @ | inf | ((/ (/ -1 x) -9) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* 3 (sqrt x)) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (+ (* (- 1 y) -3) (/ 1/3 x)) (+ (* (/ -1 x) -1/9) y) (* (* 3 (sqrt x)) (- (+ (* (/ -1 x) -1/9) y) 1)) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (+ y (/ (/ -1 x) -9)) (/ 1/3 x) (+ (* (pow x -2) 1/81) (* (neg y) y)) (/ 1/9 x)) |
| 4.0ms | y | @ | 0 | ((/ (/ -1 x) -9) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* 3 (sqrt x)) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (+ (* (- 1 y) -3) (/ 1/3 x)) (+ (* (/ -1 x) -1/9) y) (* (* 3 (sqrt x)) (- (+ (* (/ -1 x) -1/9) y) 1)) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (+ y (/ (/ -1 x) -9)) (/ 1/3 x) (+ (* (pow x -2) 1/81) (* (neg y) y)) (/ 1/9 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 451 |
| 1 | 407 | 431 |
| 2 | 1317 | 431 |
| 3 | 4121 | 427 |
| 0 | 8250 | 395 |
| 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) |
(* 3 (* (sqrt x) y)) |
(* (sqrt x) y) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x) |
(/ 1/3 x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (+ 1 (* -1 y)))) (* 1/3 (sqrt x))) x) |
(/ 1/81 (pow x 2)) |
(/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2)) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (- 1 y))) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (- 1 y))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* -3 (- 1 y)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2)))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 y)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (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)))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* 3 y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
| Outputs |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (+ 1 (* -1 y)))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ 1/81 (pow x 2)) |
(/.f64 #s(literal 1/81 binary64) (*.f64 x x)) |
(/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal -1/81 binary64))) (*.f64 x x)) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(* -3 (* (sqrt x) (- 1 y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (- 1 y))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(* -3 (- 1 y)) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2)))) |
(fma.f64 (neg.f64 y) y (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 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) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 y)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(- (* 1/3 (/ 1 x)) 3) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) y) #s(literal 3 binary64)) y #s(literal -3 binary64)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1)) |
(*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 y y)) x) x) y (neg.f64 y)) y) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) y) #s(literal 3 binary64)) y #s(literal -3 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 179 |
| 0 | 75 | 151 |
| 1 | 307 | 147 |
| 2 | 2473 | 147 |
| 0 | 8643 | 147 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(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 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) y) |
#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 (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 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) |
(/.f64 #s(literal 1/3 binary64) x) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) |
(/.f64 #s(literal 1/9 binary64) x) |
| Outputs |
|---|
(*.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) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.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 binary64) x) #s(literal -1/9 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -9 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/9 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 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (*.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 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 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.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)) |
(neg.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -9 binary64))) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(neg.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -9 binary64))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.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 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 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 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 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 #s(literal 3 binary64) (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (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 (sqrt.f64 x) #s(literal 3 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 (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.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 (sqrt.f64 x) #s(literal 3 binary64)) (-.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 (sqrt.f64 x) #s(literal 3 binary64))) (+.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 (sqrt.f64 x) #s(literal 3 binary64))) (+.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 (sqrt.f64 x) #s(literal 3 binary64)) (-.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)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.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)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
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(fma.f64 #s(literal -1 binary64) (*.f64 y y) (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 6 binary64)) (fma.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal -4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal -4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 y y)))) |
(-.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 y y)) |
(+.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 (neg.f64 y) y)) |
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(*.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) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.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 binary64) x) #s(literal -1/9 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -9 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/9 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 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (*.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 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 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.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)) |
(neg.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -9 binary64))) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(neg.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -9 binary64))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) |
Compiled 14 176 to 1 957 computations (86.2% saved)
22 alts after pruning (20 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 462 | 13 | 475 |
| Fresh | 6 | 7 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 472 | 22 | 494 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) | |
| 99.4% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| 99.4% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| 99.1% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) | |
| ▶ | 99.5% | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| 99.2% | (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| 99.4% | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| ✓ | 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) |
| 33.5% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal -1/81 binary64))) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) | |
| ▶ | 41.0% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) |
| 63.0% | #s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| 69.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) | |
| 66.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) | |
| 61.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| ▶ | 34.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
| 99.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) | |
| ✓ | 40.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| 40.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) | |
| ▶ | 40.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
| ▶ | 99.5% | #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 binary64) (*.f64 x #s(literal 3 binary64)))))) |
| 93.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x)))) | |
| 34.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
Compiled 974 to 781 computations (19.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 128 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) | |
| 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 | 128 | (*.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 | (/.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 (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) | |
| cost-diff | 0 | #s(approx (* (* 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 binary64) (*.f64 x #s(literal 3 binary64)))))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 298 |
| 0 | 81 | 299 |
| 1 | 142 | 279 |
| 2 | 291 | 279 |
| 3 | 516 | 276 |
| 4 | 1066 | 276 |
| 5 | 1825 | 276 |
| 6 | 3052 | 276 |
| 7 | 5013 | 276 |
| 8 | 5429 | 276 |
| 9 | 5796 | 276 |
| 10 | 6103 | 276 |
| 11 | 6211 | 276 |
| 12 | 7255 | 276 |
| 13 | 7746 | 276 |
| 14 | 7772 | 276 |
| 15 | 7848 | 276 |
| 16 | 7880 | 276 |
| 17 | 7886 | 276 |
| 18 | 7892 | 276 |
| 19 | 7894 | 276 |
| 20 | 7894 | 276 |
| 21 | 7894 | 276 |
| 0 | 8110 | 275 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 binary64) (*.f64 x #s(literal 3 binary64)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
(sqrt.f64 x) |
x |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal -3 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.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) |
(*.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) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
#s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1/81 binary64) (*.f64 x x)) |
#s(literal 1/81 binary64) |
(*.f64 x x) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
y |
#s(literal 1 binary64) |
| Outputs |
|---|
#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 binary64) (*.f64 x #s(literal 3 binary64)))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.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)) |
(sqrt.f64 x) |
x |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal -3 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/3 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)) |
(-.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) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) #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 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
#s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1/81 binary64) (*.f64 x x)) |
#s(literal 1/81 binary64) |
(*.f64 x x) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
y |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.30859375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.47656208728500626 | (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) | |
| accuracy | 31.459669520938675 | #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) | |
| accuracy | 33.43445885600306 | (/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) | |
| accuracy | 0.0078125 | (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) | |
| accuracy | 0.1953125 | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| accuracy | 0.26953125 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 0.30859375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.1015625 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.39453125 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) | |
| accuracy | 42.04360027839395 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| accuracy | 0.0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.34994125976844204 | (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) | |
| accuracy | 38.058776370530055 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) | |
| accuracy | 0.0 | #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 binary64) (*.f64 x #s(literal 3 binary64)))))) | |
| accuracy | 0.09765625 | (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0.30697250976844204 | (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) | |
| accuracy | 0.5189140506337103 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
| 106.0ms | 222× | 0 | valid |
| 12.0ms | 21× | 1 | valid |
| 9.0ms | 13× | 2 | valid |
Compiled 548 to 112 computations (79.6% saved)
ival-mult: 33.0ms (39.5% of total)ival-div: 13.0ms (15.6% of total)const: 10.0ms (12% of total)ival-sub: 8.0ms (9.6% of total)ival-add: 7.0ms (8.4% of total)adjust: 4.0ms (4.8% of total)ival-sqrt: 4.0ms (4.8% of total)ival-pow: 3.0ms (3.6% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
#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 binary64) (*.f64 x #s(literal 3 binary64)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 y #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))) |
(*.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 (/.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)) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(-.f64 (/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
#s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1/81 binary64) (*.f64 x x)) |
| Outputs |
|---|
(/ 1/3 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x) |
(sqrt x) |
(* 3 (* (sqrt x) y)) |
(sqrt (/ 1 x)) |
(/ 1 x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (+ 1 (* -1 y)))) (* 1/3 (sqrt x))) x) |
(* 3 (sqrt x)) |
(/ (+ 1/9 (* -1 (* x (+ 1 (* -1 y))))) x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(/ 1/81 (pow x 2)) |
(/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2)) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (- 1 y))) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (- 1 y))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* -3 (- 1 y)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2)))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 y)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(* 3 y) |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((/ 1 (* x 3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1 (* x 3)))) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y 3) (sqrt x)) (* y 3) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* (sqrt (/ 1 x)) 1/3) (sqrt (/ 1 x)) (/ 1 x) (* (- (+ y (/ 1/9 x)) 1) (* (sqrt x) 3)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1/9 x) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (* (sqrt x) 3) (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (+ (* (pow x -2) 1/81) (* (neg y) y)) (/ 1/81 (* x x))) |
| 3.0ms | x | @ | 0 | ((/ 1 (* x 3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1 (* x 3)))) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y 3) (sqrt x)) (* y 3) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* (sqrt (/ 1 x)) 1/3) (sqrt (/ 1 x)) (/ 1 x) (* (- (+ y (/ 1/9 x)) 1) (* (sqrt x) 3)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1/9 x) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (* (sqrt x) 3) (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (+ (* (pow x -2) 1/81) (* (neg y) y)) (/ 1/81 (* x x))) |
| 3.0ms | x | @ | inf | ((/ 1 (* x 3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1 (* x 3)))) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y 3) (sqrt x)) (* y 3) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* (sqrt (/ 1 x)) 1/3) (sqrt (/ 1 x)) (/ 1 x) (* (- (+ y (/ 1/9 x)) 1) (* (sqrt x) 3)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1/9 x) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (* (sqrt x) 3) (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (+ (* (pow x -2) 1/81) (* (neg y) y)) (/ 1/81 (* x x))) |
| 3.0ms | y | @ | inf | ((/ 1 (* x 3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1 (* x 3)))) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y 3) (sqrt x)) (* y 3) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* (sqrt (/ 1 x)) 1/3) (sqrt (/ 1 x)) (/ 1 x) (* (- (+ y (/ 1/9 x)) 1) (* (sqrt x) 3)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1/9 x) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (* (sqrt x) 3) (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (+ (* (pow x -2) 1/81) (* (neg y) y)) (/ 1/81 (* x x))) |
| 3.0ms | y | @ | -inf | ((/ 1 (* x 3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1 (* x 3)))) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y 3) (sqrt x)) (* y 3) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* (sqrt (/ 1 x)) 1/3) (sqrt (/ 1 x)) (/ 1 x) (* (- (+ y (/ 1/9 x)) 1) (* (sqrt x) 3)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1/9 x) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (* (sqrt x) 3) (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (+ (* (pow x -2) 1/81) (* (neg y) y)) (/ 1/81 (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 513 |
| 1 | 458 | 485 |
| 2 | 1440 | 484 |
| 3 | 3665 | 480 |
| 0 | 8434 | 446 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/3 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x) |
(sqrt x) |
(* 3 (* (sqrt x) y)) |
(sqrt (/ 1 x)) |
(/ 1 x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (+ 1 (* -1 y)))) (* 1/3 (sqrt x))) x) |
(* 3 (sqrt x)) |
(/ (+ 1/9 (* -1 (* x (+ 1 (* -1 y))))) x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(/ 1/81 (pow x 2)) |
(/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2)) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (- 1 y))) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (- 1 y))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* -3 (- 1 y)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2)))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 y)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(* 3 y) |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
| Outputs |
|---|
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #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 (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(sqrt x) |
(sqrt.f64 x) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 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 (fma.f64 y x #s(literal 1/9 binary64)) x) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (+ 1 (* -1 y)))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(/ (+ 1/9 (* -1 (* x (+ 1 (* -1 y))))) x) |
(/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1/9 binary64)) x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x) |
(/ 1/81 (pow x 2)) |
(/.f64 #s(literal 1/81 binary64) (*.f64 x x)) |
(/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal -1/81 binary64))) (*.f64 x x)) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (fma.f64 y #s(literal 3 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 (fma.f64 y #s(literal 3 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) (- 1 y))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (- 1 y))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 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 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 (- 1 y)) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2)))) |
(fma.f64 (neg.f64 y) y (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (fma.f64 y #s(literal 3 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 (fma.f64 y #s(literal 3 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) (- 1 y)))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 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) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* 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 x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* 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)) |
(- (* 1/3 (/ 1 x)) 3) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1)) |
(*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 y y)) x) x) y (neg.f64 y)) y) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 253 |
| 0 | 81 | 253 |
| 1 | 318 | 230 |
| 2 | 2724 | 230 |
| 0 | 8100 | 230 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
#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 binary64) (*.f64 x #s(literal 3 binary64)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 y #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))) |
(*.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 (/.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)) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(-.f64 (/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
#s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1/81 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -3 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64))) (sqrt.f64 x)) (-.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64)))) (-.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal -3 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) |
(fma.f64 #s(literal -3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) |
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64))) |
(/.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(sqrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64))) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (neg.f64 (log.f64 x)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -1 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 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal -1 binary64)) |
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(/.f64 #s(literal -1/81 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal -1/9 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 9 binary64) x))) |
(/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 #s(literal 9 binary64) x) (neg.f64 x))) |
(/.f64 #s(literal 1/81 binary64) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1/81 binary64) (*.f64 x x)) |
(/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 81 binary64)) |
(/.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 #s(literal 9 binary64) x))) |
(/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 9 binary64) x) x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 9 binary64) (*.f64 #s(literal 9 binary64) x))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 9 binary64))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -9 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 9 binary64) (*.f64 #s(literal -9 binary64) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 9 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -9 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -9 binary64) x) (*.f64 #s(literal 9 binary64) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 9 binary64) x) (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/81 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) |
(neg.f64 (/.f64 #s(literal -1/81 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 9 binary64) x)) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -2 binary64))))) |
Compiled 16 661 to 2 126 computations (87.2% saved)
25 alts after pruning (21 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 553 | 10 | 563 |
| Fresh | 4 | 11 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 1 | 2 |
| Total | 560 | 25 | 585 |
| Status | Accuracy | Program |
|---|---|---|
| 99.4% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| ▶ | 99.4% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
| 99.1% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) | |
| 99.3% | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))) | |
| 99.2% | (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| 99.4% | (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 33.5% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal -1/81 binary64))) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) | |
| 34.0% | (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| ▶ | 63.0% | #s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
| 34.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) | |
| 69.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) | |
| 66.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) | |
| 34.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))) | |
| ▶ | 61.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))) |
| ✓ | 34.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
| 99.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) | |
| ✓ | 40.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| ▶ | 40.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
| 40.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))) | |
| ✓ | 40.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
| ✓ | 99.5% | #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 binary64) (*.f64 x #s(literal 3 binary64)))))) |
| ▶ | 65.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))) |
| 65.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 y #s(literal 1 binary64)))))) | |
| 93.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1 (* x 3))) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x)))) | |
| 34.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
Compiled 1 135 to 893 computations (21.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))) | |
| cost-diff | 128 | (*.f64 (+.f64 y #s(literal 1 binary64)) x) | |
| cost-diff | 128 | (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64)) | |
| cost-diff | 128 | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) x) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| 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 | (/.f64 #s(literal 1/9 binary64) x) | |
| cost-diff | 0 | (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 333 |
| 0 | 92 | 333 |
| 1 | 161 | 326 |
| 2 | 346 | 323 |
| 3 | 691 | 323 |
| 4 | 1561 | 323 |
| 5 | 3781 | 323 |
| 6 | 7496 | 323 |
| 0 | 8589 | 307 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 3 binary64) |
#s(literal -3 binary64) |
(sqrt.f64 x) |
#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 (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
#s(literal 3 binary64) |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))) |
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) x))) |
(sqrt.f64 x) |
x |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
#s(literal -3 binary64) |
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
#s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #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 (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
#s(literal 1/3 binary64) |
(sqrt.f64 x) |
| Outputs |
|---|
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 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 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 3 binary64) |
#s(literal -3 binary64) |
(sqrt.f64 x) |
#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) #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 (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
#s(literal 3 binary64) |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 3 binary64) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) (fma.f64 x y x)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 3 binary64) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) (fma.f64 x y x)) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 3 binary64) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) (fma.f64 x y x)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 3 binary64) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) #s(literal -3 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
#s(literal -3 binary64) |
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64)) |
(+.f64 y #s(literal 1 binary64)) |
(-.f64 y #s(literal -1 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
(fma.f64 x y x) |
#s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 (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))) x)) |
(/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/.f64 (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))) x) |
(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(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))) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
y |
#s(literal 3 binary64) |
#s(literal -3 binary64) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
#s(literal 1/3 binary64) |
(sqrt.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.34375 | (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.48461999104440334 | (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) | |
| accuracy | 11.265782218837396 | (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) | |
| accuracy | 22.98554944523402 | (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.16796875 | (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64)) | |
| accuracy | 0.30697250976844204 | (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) x))) | |
| accuracy | 5.270515675137497 | (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) | |
| accuracy | 16.302172743123446 | (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) x)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.31087875976844204 | (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.4140625 | (/.f64 #s(literal 1/3 binary64) x) | |
| accuracy | 24.65686108017846 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.19140625 | (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) | |
| accuracy | 0.26953125 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 38.058776370530055 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) | |
| accuracy | 0.0078125 | (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) | |
| accuracy | 0.16015625 | (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) | |
| accuracy | 0.30697250976844204 | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.30859375 | (/.f64 #s(literal 1/9 binary64) x) |
| 362.0ms | 206× | 0 | valid |
| 40.0ms | 21× | 2 | valid |
| 25.0ms | 29× | 1 | valid |
Compiled 622 to 129 computations (79.3% saved)
ival-sub: 258.0ms (67.7% of total)ival-mult: 62.0ms (16.3% of total)ival-div: 15.0ms (3.9% of total)ival-add: 13.0ms (3.4% of total)const: 11.0ms (2.9% of total)adjust: 9.0ms (2.4% of total)ival-pow: 6.0ms (1.6% of total)ival-sqrt: 4.0ms (1.1% of total)exact: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) x))) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ 1/3 x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) y)) |
(* 3 (sqrt x)) |
(sqrt x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/ (+ 1/3 (* -3 x)) x) |
(* x (+ 1 y)) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (+ 1 (* -1 y)))) (* 1/3 (sqrt x))) x) |
(* 1/3 (sqrt x)) |
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) |
(/ (+ 1/3 (* -3 (/ (* x (- 1 (pow y 2))) (+ 1 y)))) x) |
(* 1/3 (+ 1 y)) |
(+ (* -3 (* x (- 1 (pow y 2)))) (* 1/3 (+ 1 y))) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (/ (- 1 (pow y 2)) (+ 1 y)))) (* 1/3 (sqrt x))) x) |
(sqrt (pow x 3)) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (sqrt x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(* (sqrt (pow x 3)) (- (* 3 y) 3)) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* -3 (/ (- 1 (pow y 2)) (+ 1 y))) |
(+ (* -3 (/ (- 1 (pow y 2)) (+ 1 y))) (* 1/3 (/ 1 x))) |
(* -3 (* x (- 1 (pow y 2)))) |
(* x (+ (* -3 (- 1 (pow y 2))) (* 1/3 (/ (+ 1 y) x)))) |
(* -3 (* (sqrt x) (/ (- 1 (pow y 2)) (+ 1 y)))) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (/ (- 1 (pow y 2)) (+ 1 y)))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* -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)))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))) |
(* -1 (* x (+ (* -1/3 (/ (+ 1 y) x)) (* 3 (- 1 (pow y 2)))))) |
(* 3 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- 1 (pow y 2))) (+ 1 y)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- 1 (pow y 2))) (+ 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(- (* 3 (pow y 2)) 3) |
1/3 |
(+ 1/3 (* 1/3 y)) |
x |
(+ x (* x y)) |
(+ (* -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 (+ (* y (- (+ 3 (* 1/3 (/ 1 x))) (* 1/3 (/ 1 x)))) (* 1/3 (/ 1 x)))) |
(+ 1/3 (* -3 x)) |
(+ 1/3 (+ (* -3 x) (* 1/3 y))) |
(+ 1/3 (+ (* -3 x) (* y (+ 1/3 (* 3 (* x y)))))) |
(* (sqrt (/ 1 x)) (+ 1/3 (* -3 x))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt (/ 1 x)) (+ 1/3 (* -3 x)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* 3 y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (pow y 2)) |
(* (pow y 2) (- 3 (* 3 (/ 1 (pow y 2))))) |
(* 1/3 y) |
(* y (+ 1/3 (* 1/3 (/ 1 y)))) |
(* x y) |
(* y (+ x (/ 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)))))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* 3 (* x (pow y 2))) |
(* (pow y 2) (+ (* 3 x) (* 1/3 (/ 1 y)))) |
(* (pow y 2) (+ (* -3 (/ x (pow y 2))) (+ (* 3 x) (+ (/ 1/3 (pow y 2)) (* 1/3 (/ 1 y)))))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt (/ 1 x)) (/ (- 1/3 (* 3 x)) y)))) |
(* y (+ (* 3 (sqrt x)) (+ (* (sqrt (/ 1 x)) (/ (+ (* -3 x) (* 3 x)) (pow y 2))) (* (sqrt (/ 1 x)) (/ (- 1/3 (* 3 x)) y))))) |
(* y (+ (* -1 (* (sqrt (/ 1 x)) (/ (+ (* -3 x) (* 3 x)) (pow y 3)))) (+ (* 3 (sqrt x)) (+ (* (sqrt (/ 1 x)) (/ (+ (* -3 x) (* 3 x)) (pow y 2))) (* (sqrt (/ 1 x)) (/ (- 1/3 (* 3 x)) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -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))) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* -3 x)) x)) (* -1 (- (* 1/3 (/ 1 x)) 3))) y)) (* 1/3 (/ 1 x))) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ 1/3 (* -3 x)) x)) (* -1 (/ (- (* -1 (/ (+ 1/3 (* -3 x)) x)) (* -1 (- (* 1/3 (/ 1 x)) 3))) y))) (* -1 (- (* 1/3 (/ 1 x)) 3))) y)) (* 1/3 (/ 1 x))) 3) y)) 3))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* -3 x)) y)) 1/3) y)) (* 3 x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1/3 (* 3 x)) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/3 (* -3 x))) (* -1 (- 1/3 (* 3 x)))) y))) (* (sqrt (/ 1 x)) (- 1/3 (* 3 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/3 (* -3 x))) (* -1 (- 1/3 (* 3 x)))) y))) (* (sqrt (/ 1 x)) (- (* -1 (+ 1/3 (* -3 x))) (* -1 (- 1/3 (* 3 x)))))) y)) (* (sqrt (/ 1 x)) (- 1/3 (* 3 x)))) y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | 0 | ((* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* (- (/ 1/3 x) 3) (sqrt x)) (- (/ 1/3 x) 3) (/ 1/3 x) (* (- 1 (* y y)) -3) (* (+ y 1) 1/3) (* (+ y 1) x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/ (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) (+ (* y 3) -3) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (+ y 1) x)) (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (+ y 1) x))) (sqrt (pow x 3)) (* 1/3 (sqrt x))) |
| 10.0ms | x | @ | -inf | ((* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* (- (/ 1/3 x) 3) (sqrt x)) (- (/ 1/3 x) 3) (/ 1/3 x) (* (- 1 (* y y)) -3) (* (+ y 1) 1/3) (* (+ y 1) x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/ (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) (+ (* y 3) -3) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (+ y 1) x)) (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (+ y 1) x))) (sqrt (pow x 3)) (* 1/3 (sqrt x))) |
| 5.0ms | x | @ | inf | ((* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* (- (/ 1/3 x) 3) (sqrt x)) (- (/ 1/3 x) 3) (/ 1/3 x) (* (- 1 (* y y)) -3) (* (+ y 1) 1/3) (* (+ y 1) x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/ (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) (+ (* y 3) -3) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (+ y 1) x)) (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (+ y 1) x))) (sqrt (pow x 3)) (* 1/3 (sqrt x))) |
| 5.0ms | y | @ | inf | ((* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* (- (/ 1/3 x) 3) (sqrt x)) (- (/ 1/3 x) 3) (/ 1/3 x) (* (- 1 (* y y)) -3) (* (+ y 1) 1/3) (* (+ y 1) x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/ (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) (+ (* y 3) -3) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (+ y 1) x)) (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (+ y 1) x))) (sqrt (pow x 3)) (* 1/3 (sqrt x))) |
| 5.0ms | y | @ | -inf | ((* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* (- (/ 1/3 x) 3) (sqrt x)) (- (/ 1/3 x) 3) (/ 1/3 x) (* (- 1 (* y y)) -3) (* (+ y 1) 1/3) (* (+ y 1) x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/ (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) (+ (* y 3) -3) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (+ y 1) x)) (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (+ y 1) x))) (sqrt (pow x 3)) (* 1/3 (sqrt x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 355 | 1410 |
| 1 | 1132 | 1336 |
| 2 | 3782 | 1310 |
| 0 | 8246 | 1209 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ 1/3 x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) y)) |
(* 3 (sqrt x)) |
(sqrt x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/ (+ 1/3 (* -3 x)) x) |
(* x (+ 1 y)) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (+ 1 (* -1 y)))) (* 1/3 (sqrt x))) x) |
(* 1/3 (sqrt x)) |
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) |
(/ (+ 1/3 (* -3 (/ (* x (- 1 (pow y 2))) (+ 1 y)))) x) |
(* 1/3 (+ 1 y)) |
(+ (* -3 (* x (- 1 (pow y 2)))) (* 1/3 (+ 1 y))) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (/ (- 1 (pow y 2)) (+ 1 y)))) (* 1/3 (sqrt x))) x) |
(sqrt (pow x 3)) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (sqrt x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(* (sqrt (pow x 3)) (- (* 3 y) 3)) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* -3 (/ (- 1 (pow y 2)) (+ 1 y))) |
(+ (* -3 (/ (- 1 (pow y 2)) (+ 1 y))) (* 1/3 (/ 1 x))) |
(* -3 (* x (- 1 (pow y 2)))) |
(* x (+ (* -3 (- 1 (pow y 2))) (* 1/3 (/ (+ 1 y) x)))) |
(* -3 (* (sqrt x) (/ (- 1 (pow y 2)) (+ 1 y)))) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (/ (- 1 (pow y 2)) (+ 1 y)))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* -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)))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))) |
(* -1 (* x (+ (* -1/3 (/ (+ 1 y) x)) (* 3 (- 1 (pow y 2)))))) |
(* 3 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- 1 (pow y 2))) (+ 1 y)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- 1 (pow y 2))) (+ 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(- (* 3 (pow y 2)) 3) |
1/3 |
(+ 1/3 (* 1/3 y)) |
x |
(+ x (* x y)) |
(+ (* -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 (+ (* y (- (+ 3 (* 1/3 (/ 1 x))) (* 1/3 (/ 1 x)))) (* 1/3 (/ 1 x)))) |
(+ 1/3 (* -3 x)) |
(+ 1/3 (+ (* -3 x) (* 1/3 y))) |
(+ 1/3 (+ (* -3 x) (* y (+ 1/3 (* 3 (* x y)))))) |
(* (sqrt (/ 1 x)) (+ 1/3 (* -3 x))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt (/ 1 x)) (+ 1/3 (* -3 x)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* 3 y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (pow y 2)) |
(* (pow y 2) (- 3 (* 3 (/ 1 (pow y 2))))) |
(* 1/3 y) |
(* y (+ 1/3 (* 1/3 (/ 1 y)))) |
(* x y) |
(* y (+ x (/ 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)))))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* 3 (* x (pow y 2))) |
(* (pow y 2) (+ (* 3 x) (* 1/3 (/ 1 y)))) |
(* (pow y 2) (+ (* -3 (/ x (pow y 2))) (+ (* 3 x) (+ (/ 1/3 (pow y 2)) (* 1/3 (/ 1 y)))))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt (/ 1 x)) (/ (- 1/3 (* 3 x)) y)))) |
(* y (+ (* 3 (sqrt x)) (+ (* (sqrt (/ 1 x)) (/ (+ (* -3 x) (* 3 x)) (pow y 2))) (* (sqrt (/ 1 x)) (/ (- 1/3 (* 3 x)) y))))) |
(* y (+ (* -1 (* (sqrt (/ 1 x)) (/ (+ (* -3 x) (* 3 x)) (pow y 3)))) (+ (* 3 (sqrt x)) (+ (* (sqrt (/ 1 x)) (/ (+ (* -3 x) (* 3 x)) (pow y 2))) (* (sqrt (/ 1 x)) (/ (- 1/3 (* 3 x)) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -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))) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* -3 x)) x)) (* -1 (- (* 1/3 (/ 1 x)) 3))) y)) (* 1/3 (/ 1 x))) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ 1/3 (* -3 x)) x)) (* -1 (/ (- (* -1 (/ (+ 1/3 (* -3 x)) x)) (* -1 (- (* 1/3 (/ 1 x)) 3))) y))) (* -1 (- (* 1/3 (/ 1 x)) 3))) y)) (* 1/3 (/ 1 x))) 3) y)) 3))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* -3 x)) y)) 1/3) y)) (* 3 x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1/3 (* 3 x)) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/3 (* -3 x))) (* -1 (- 1/3 (* 3 x)))) y))) (* (sqrt (/ 1 x)) (- 1/3 (* 3 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/3 (* -3 x))) (* -1 (- 1/3 (* 3 x)))) y))) (* (sqrt (/ 1 x)) (- (* -1 (+ 1/3 (* -3 x))) (* -1 (- 1/3 (* 3 x)))))) y)) (* (sqrt (/ 1 x)) (- 1/3 (* 3 x)))) 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)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(/ (+ (* -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) |
(/ (+ 1/3 (* -3 x)) x) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (+ 1 (* -1 y)))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* 1/3 (sqrt x)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(/ (+ 1/3 (* -3 (/ (* x (- 1 (pow y 2))) (+ 1 y)))) x) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) (/.f64 #s(literal -3 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1/3 binary64)) x) |
(* 1/3 (+ 1 y)) |
(fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64)) |
(+ (* -3 (* x (- 1 (pow y 2)))) (* 1/3 (+ 1 y))) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y y #s(literal -1 binary64)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (/ (- 1 (pow y 2)) (+ 1 y)))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 #s(literal -3 binary64) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(sqrt (pow x 3)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(- (* 3 y) 3) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(fma.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -3 (sqrt x)) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
-3 |
#s(literal -3 binary64) |
(- (* 1/3 (/ 1 x)) 3) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(* (sqrt (pow x 3)) (- (* 3 y) 3)) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)) |
(* -3 (/ (- 1 (pow y 2)) (+ 1 y))) |
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 #s(literal -3 binary64) (+.f64 #s(literal 1 binary64) y))) |
(+ (* -3 (/ (- 1 (pow y 2)) (+ 1 y))) (* 1/3 (/ 1 x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* -3 (* x (- 1 (pow y 2)))) |
(*.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y y #s(literal -1 binary64))) |
(* x (+ (* -3 (- 1 (pow y 2))) (* 1/3 (/ (+ 1 y) x)))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64)) x)) x) |
(* -3 (* (sqrt x) (/ (- 1 (pow y 2)) (+ 1 y)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 #s(literal -3 binary64) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (/ (- 1 (pow y 2)) (+ 1 y)))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 #s(literal -3 binary64) (+.f64 #s(literal 1 binary64) y))) (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 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(* -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) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) y)) (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 (pow x 3)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) y)) (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 (/ (+ 1 y) x)) (* 3 (- 1 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64)) x)) x) |
(* 3 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- 1 (pow y 2))) (+ 1 y)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 #s(literal -3 binary64) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- 1 (pow y 2))) (+ 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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)))) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(fma.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) |
(- (* 3 (pow y 2)) 3) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) #s(literal -3 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* 1/3 y)) |
(fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64)) |
x |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(+ (* -3 (sqrt (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 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(+ -3 (+ (* y (- (+ 3 (* 1/3 (/ 1 x))) (* 1/3 (/ 1 x)))) (* 1/3 (/ 1 x)))) |
(fma.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) |
(+ 1/3 (* -3 x)) |
(fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) |
(+ 1/3 (+ (* -3 x) (* 1/3 y))) |
(fma.f64 #s(literal -3 binary64) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) |
(+ 1/3 (+ (* -3 x) (* y (+ 1/3 (* 3 (* x y)))))) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y y #s(literal -1 binary64)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) |
(* (sqrt (/ 1 x)) (+ 1/3 (* -3 x))) |
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt (/ 1 x)) (+ 1/3 (* -3 x)))) |
(fma.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(*.f64 (*.f64 (sqrt.f64 x) y) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64)) y) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) y) y 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)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(* (pow y 2) (- 3 (* 3 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) y) y)) y) y) |
(* 1/3 y) |
(*.f64 #s(literal 1/3 binary64) y) |
(* y (+ 1/3 (* 1/3 (/ 1 y)))) |
(fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64)) |
(* x y) |
(*.f64 x y) |
(* y (+ x (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) 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 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3)))))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) y (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) y)) y) |
(* 3 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) |
(* (pow y 2) (+ (* 3 x) (* 1/3 (/ 1 y)))) |
(*.f64 (fma.f64 (*.f64 x y) #s(literal 3 binary64) #s(literal 1/3 binary64)) y) |
(* (pow y 2) (+ (* -3 (/ x (pow y 2))) (+ (* 3 x) (+ (/ 1/3 (pow y 2)) (* 1/3 (/ 1 y)))))) |
(*.f64 y (fma.f64 (fma.f64 x (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) y) y)) (/.f64 (/.f64 #s(literal 1/3 binary64) y) y)) y #s(literal 1/3 binary64))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt (/ 1 x)) (/ (- 1/3 (* 3 x)) y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) y) |
(* y (+ (* 3 (sqrt x)) (+ (* (sqrt (/ 1 x)) (/ (+ (* -3 x) (* 3 x)) (pow y 2))) (* (sqrt (/ 1 x)) (/ (- 1/3 (* 3 x)) y))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) y) |
(* y (+ (* -1 (* (sqrt (/ 1 x)) (/ (+ (* -3 x) (* 3 x)) (pow y 3)))) (+ (* 3 (sqrt x)) (+ (* (sqrt (/ 1 x)) (/ (+ (* -3 x) (* 3 x)) (pow y 2))) (* (sqrt (/ 1 x)) (/ (- 1/3 (* 3 x)) y)))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) y) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(*.f64 (*.f64 (sqrt.f64 x) y) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64)) y) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -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 x) (* -1 (/ x y))))) |
(*.f64 (+.f64 (/.f64 x y) x) y) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (neg.f64 y))) (neg.f64 y)) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.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))) (neg.f64 y))) (neg.f64 y)) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) y)) y) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* -3 x)) x)) (* -1 (- (* 1/3 (/ 1 x)) 3))) y)) (* 1/3 (/ 1 x))) 3) y)) 3))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1/3 binary64)) x) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) y)) #s(literal 3 binary64)) y) #s(literal 3 binary64)) y) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ 1/3 (* -3 x)) x)) (* -1 (/ (- (* -1 (/ (+ 1/3 (* -3 x)) x)) (* -1 (- (* 1/3 (/ 1 x)) 3))) y))) (* -1 (- (* 1/3 (/ 1 x)) 3))) y)) (* 1/3 (/ 1 x))) 3) y)) 3))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1/3 binary64)) x) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1/3 binary64)) x) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) y)) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) y) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) y) #s(literal 3 binary64)) (neg.f64 y)) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* -3 x)) y)) 1/3) y)) (* 3 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) y) #s(literal 1/3 binary64)) y)) y) y) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1/3 (* 3 x)) y)))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) y) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/3 (* -3 x))) (* -1 (- 1/3 (* 3 x)))) y))) (* (sqrt (/ 1 x)) (- 1/3 (* 3 x)))) y))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) y) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/3 (* -3 x))) (* -1 (- 1/3 (* 3 x)))) y))) (* (sqrt (/ 1 x)) (- (* -1 (+ 1/3 (* -3 x))) (* -1 (- 1/3 (* 3 x)))))) y)) (* (sqrt (/ 1 x)) (- 1/3 (* 3 x)))) y))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 290 |
| 0 | 92 | 286 |
| 1 | 389 | 269 |
| 2 | 3390 | 269 |
| 0 | 9333 | 264 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) x))) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 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 (*.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -9 binary64)) (sqrt.f64 x)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal 3 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal -27 binary64)) (sqrt.f64 x)) (fma.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -9 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -9 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal 3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal -27 binary64))) (fma.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -9 binary64))))) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)))) |
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x))) |
(+.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
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(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -3 binary64) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) y)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -3 binary64) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) y))))) |
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x) (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) |
(+.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x)) |
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) x)) |
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) (sqrt.f64 x)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) x) (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) (*.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) x) (+.f64 #s(literal 1 binary64) y))) |
(pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) x) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) (sqrt.f64 x))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) y)) x) |
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) (sqrt.f64 x)) x) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) x) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64)))) (sqrt.f64 x)) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 x (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64)))))) |
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) (+.f64 #s(literal 1 binary64) y))) x) |
(/.f64 (*.f64 (sqrt.f64 x) (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))))) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 x (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) (sqrt.f64 x))) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) (sqrt.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) x) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 x (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64)))))) |
(*.f64 (fabs.f64 (sqrt.f64 x)) x) |
(*.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 3/4 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 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 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 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
Compiled 18 312 to 2 114 computations (88.5% saved)
24 alts after pruning (19 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 488 | 12 | 500 |
| Fresh | 9 | 7 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 2 | 4 |
| Total | 501 | 24 | 525 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.4% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
| 99.2% | (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| 99.4% | (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 33.5% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal -1/81 binary64))) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) | |
| 34.0% | (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| 66.1% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) | |
| 93.7% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) | |
| 34.1% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) | |
| 92.2% | #s(approx (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (*.f64 (*.f64 (sqrt.f64 x) y) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64)))) | |
| 81.7% | #s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)) | |
| 30.1% | #s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 #s(approx (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)) | |
| 34.1% | #s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 #s(approx (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| 34.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) | |
| 61.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) | |
| 34.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))) | |
| ✓ | 61.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))) |
| 28.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) | |
| 70.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (sqrt.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 x (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))))))) | |
| ✓ | 40.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| ✓ | 40.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
| 40.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))) | |
| ✓ | 40.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
| 29.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (/.f64 #s(approx (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (*.f64 (fma.f64 (*.f64 x y) #s(literal 3 binary64) #s(literal 1/3 binary64)) y)) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))) | |
| 60.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (+ y 1) x))) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
Compiled 2 064 to 811 computations (60.7% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (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)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 #s(approx (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (+ y 1) x))) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (sqrt.f64 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 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #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 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1 (* x 3))) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x)) (sqrt.f64 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 binary64) (*.f64 x #s(literal 3 binary64)))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) |
(*.f64 (*.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 (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (*.f64 (*.f64 (sqrt.f64 x) y) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (/.f64 #s(approx (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (*.f64 (fma.f64 (*.f64 x y) #s(literal 3 binary64) #s(literal 1/3 binary64)) y)) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (sqrt.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 x (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 y #s(literal 1 binary64)))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(approx (+ (* (pow x -2) 1/81) (* (neg y) y)) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal -1/81 binary64))) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 #s(approx (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (fma.f64 y y (*.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) |
3 calls:
| 18.0ms | y |
| 14.0ms | x |
| 14.0ms | (*.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 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (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)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 #s(approx (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (+ y 1) x))) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (sqrt.f64 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 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #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 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1 (* x 3))) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x)) (sqrt.f64 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 binary64) (*.f64 x #s(literal 3 binary64)))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) |
(*.f64 (*.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 (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (*.f64 (*.f64 (sqrt.f64 x) y) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64)))) |
| Outputs |
|---|
#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)))) |
3 calls:
| 13.0ms | (*.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))) |
| 12.0ms | x |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (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)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 #s(approx (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (+ y 1) x))) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (+ y 1) x))) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
3 calls:
| 7.0ms | y |
| 6.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.0% | 2 | x |
| 85.9% | 3 | y |
| 93.4% | 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 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (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)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 #s(approx (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (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))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
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 |
|---|---|---|
| 93.4% | 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 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (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)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 #s(approx (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 #s(approx (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
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 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (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)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
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 |
|---|---|---|
| 92.7% | 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 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (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)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
1 calls:
| 3.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 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 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (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)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
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 |
|---|---|---|
| 92.6% | 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 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (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)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
3 calls:
| 3.0ms | x |
| 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))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.1% | 1 | y |
| 66.1% | 1 | x |
| 66.1% | 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 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (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))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
3 calls:
| 5.0ms | y |
| 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 | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.2% | 3 | x |
| 65.6% | 3 | y |
| 59.3% | 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 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
1 calls:
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.5% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (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 |
|---|---|---|
| 28.1% | 1 | x |
| 28.1% | 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))) |
| 28.1% | 1 | y |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.655870151331505e+150 | 3.5904397004368985e+150 |
| 0.0ms | -139584413720078.02 | -231872072267.63696 |
Compiled 17 to 17 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.254148274490945e+145 | 1.363793354129666e+147 |
| 0.0ms | -139584413720078.02 | -231872072267.63696 |
Compiled 17 to 17 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.655870151331505e+150 | 3.5904397004368985e+150 |
| 0.0ms | -23.27144277112691 | 149.02283356856702 |
Compiled 17 to 17 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.655870151331505e+150 | 3.5904397004368985e+150 |
| 0.0ms | -23.27144277112691 | 149.02283356856702 |
Compiled 17 to 17 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.655870151331505e+150 | 3.5904397004368985e+150 |
| 0.0ms | -23.27144277112691 | 149.02283356856702 |
Compiled 17 to 17 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.655870151331505e+150 | 3.5904397004368985e+150 |
| 0.0ms | -23.27144277112691 | 149.02283356856702 |
Compiled 17 to 17 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.909244229184395e-21 | 2.2111312395271845e-13 |
| 36.0ms | -1889393883281.4673 | -216.05641119091044 |
| 20.0ms | 304× | 0 | valid |
Compiled 891 to 777 computations (12.8% saved)
ival-mult: 5.0ms (37% of total)ival-div: 2.0ms (14.8% of total)ival-add: 2.0ms (14.8% of total)ival-sqrt: 2.0ms (14.8% of total)ival-sub: 1.0ms (7.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.909244229184395e-21 | 2.2111312395271845e-13 |
| 1.0ms | -1889393883281.4673 | -216.05641119091044 |
Compiled 891 to 777 computations (12.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 894 |
| 1 | 159 | 894 |
| 2 | 166 | 894 |
| 3 | 174 | 894 |
| 4 | 175 | 894 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) |
#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)))) |
(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 -100000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 3000000000000000124216469591213846409050312014092089967683834602291815406983585544088716834198144287435868859239419406512331498560169695228350527700992 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (+ y 1) x))) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -100000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -20 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 3000000000000000124216469591213846409050312014092089967683834602291815406983585544088716834198144287435868859239419406512331498560169695228350527700992 binary64)) #s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 #s(approx (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -20 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 3000000000000000124216469591213846409050312014092089967683834602291815406983585544088716834198144287435868859239419406512331498560169695228350527700992 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 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -20 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 3000000000000000124216469591213846409050312014092089967683834602291815406983585544088716834198144287435868859239419406512331498560169695228350527700992 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -20 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 3000000000000000124216469591213846409050312014092089967683834602291815406983585544088716834198144287435868859239419406512331498560169695228350527700992 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(if (<=.f64 y #s(literal -220 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) (if (<=.f64 y #s(literal 8715097876569077/39614081257132168796771975168 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))) |
(if (<=.f64 y #s(literal -220 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) (if (<=.f64 y #s(literal 8715097876569077/39614081257132168796771975168 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) 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 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (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 -100000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 3000000000000000124216469591213846409050312014092089967683834602291815406983585544088716834198144287435868859239419406512331498560169695228350527700992 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (+ y 1) x))) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -100000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3000000000000000124216469591213846409050312014092089967683834602291815406983585544088716834198144287435868859239419406512331498560169695228350527700992 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ y 1) 1/3)) (* (+ y 1) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -100000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -100000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -20 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 3000000000000000124216469591213846409050312014092089967683834602291815406983585544088716834198144287435868859239419406512331498560169695228350527700992 binary64)) #s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 #s(approx (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -20 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3000000000000000124216469591213846409050312014092089967683834602291815406983585544088716834198144287435868859239419406512331498560169695228350527700992 binary64)) #s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/.f64 #s(approx (+ (* (+ (* y 3) -3) (sqrt (pow x 3))) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -20 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 3000000000000000124216469591213846409050312014092089967683834602291815406983585544088716834198144287435868859239419406512331498560169695228350527700992 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 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -20 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3000000000000000124216469591213846409050312014092089967683834602291815406983585544088716834198144287435868859239419406512331498560169695228350527700992 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 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -20 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 3000000000000000124216469591213846409050312014092089967683834602291815406983585544088716834198144287435868859239419406512331498560169695228350527700992 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -20 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3000000000000000124216469591213846409050312014092089967683834602291815406983585544088716834198144287435868859239419406512331498560169695228350527700992 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -20 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 3000000000000000124216469591213846409050312014092089967683834602291815406983585544088716834198144287435868859239419406512331498560169695228350527700992 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -20 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3000000000000000124216469591213846409050312014092089967683834602291815406983585544088716834198144287435868859239419406512331498560169695228350527700992 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(if (<=.f64 y #s(literal -220 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) (if (<=.f64 y #s(literal 8715097876569077/39614081257132168796771975168 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))) |
(if (<=.f64 y #s(literal -220 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) (if (<=.f64 y #s(literal 8715097876569077/39614081257132168796771975168 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) |
(if (<=.f64 y #s(literal -220 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) (if (<=.f64 y #s(literal 8715097876569077/39614081257132168796771975168 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (*.f64 #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64)) (sqrt.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 451 |
| 1 | 407 | 431 |
| 2 | 1317 | 431 |
| 3 | 4121 | 427 |
| 0 | 8250 | 395 |
| 0 | 47 | 179 |
| 0 | 75 | 151 |
| 1 | 307 | 147 |
| 2 | 2473 | 147 |
| 0 | 8643 | 147 |
| 0 | 166 | 513 |
| 1 | 458 | 485 |
| 2 | 1440 | 484 |
| 3 | 3665 | 480 |
| 0 | 8434 | 446 |
| 0 | 56 | 253 |
| 0 | 81 | 253 |
| 1 | 318 | 230 |
| 2 | 2724 | 230 |
| 0 | 8100 | 230 |
| 0 | 355 | 1410 |
| 1 | 1132 | 1336 |
| 2 | 3782 | 1310 |
| 0 | 8246 | 1209 |
| 0 | 72 | 175 |
| 1 | 195 | 166 |
| 2 | 608 | 166 |
| 3 | 2207 | 164 |
| 4 | 6083 | 164 |
| 0 | 8438 | 152 |
| 0 | 12 | 32 |
| 0 | 19 | 32 |
| 1 | 66 | 26 |
| 2 | 521 | 26 |
| 3 | 6476 | 26 |
| 0 | 8295 | 25 |
| 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 |
Compiled 1 372 to 552 computations (59.8% saved)
Compiled 1 850 to 328 computations (82.3% saved)
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