
Time bar (total: 6.6s)
| 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 |
| 100% | 50% | 0% | 0.1% | 0% | 50% | 0% | 2 |
Compiled 16 to 14 computations (12.5% saved)
| 782.0ms | 8 256× | 0 | valid |
ival-mult: 158.0ms (29.2% of total)ival-div: 153.0ms (28.3% of total)ival-sqrt: 131.0ms (24.2% of total)ival-sub: 78.0ms (14.4% of total)exact: 12.0ms (2.2% of total)ival-true: 6.0ms (1.1% of total)ival-assert: 4.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 9 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| 0 | 0 | - | 0 | - | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 9 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 43.0ms | 512× | 0 | valid |
Compiled 156 to 52 computations (66.7% saved)
ival-sub: 8.0ms (30.4% of total)ival-div: 6.0ms (22.8% of total)ival-mult: 6.0ms (22.8% of total)ival-sqrt: 4.0ms (15.2% of total)ival-true: 1.0ms (3.8% of total)exact: 1.0ms (3.8% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 78 |
| 1 | 80 | 64 |
| 2 | 237 | 62 |
| 3 | 648 | 62 |
| 4 | 1485 | 62 |
| 5 | 2911 | 62 |
| 6 | 3564 | 62 |
| 7 | 3695 | 62 |
| 8 | 3728 | 62 |
| 9 | 3732 | 62 |
| 10 | 3732 | 62 |
| 11 | 3736 | 62 |
| 0 | 12 | 14 |
| 0 | 19 | 14 |
| 1 | 33 | 12 |
| 2 | 71 | 12 |
| 3 | 147 | 12 |
| 4 | 270 | 12 |
| 5 | 508 | 12 |
| 6 | 1021 | 12 |
| 7 | 1324 | 12 |
| 8 | 1438 | 12 |
| 9 | 1452 | 12 |
| 10 | 1455 | 12 |
| 0 | 1455 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
Compiled 14 to 12 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 9 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) | |
| cost-diff | 128 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 46 |
| 0 | 19 | 46 |
| 1 | 33 | 40 |
| 2 | 71 | 40 |
| 3 | 147 | 40 |
| 4 | 270 | 40 |
| 5 | 508 | 40 |
| 6 | 1021 | 40 |
| 7 | 1324 | 40 |
| 8 | 1438 | 40 |
| 9 | 1452 | 40 |
| 10 | 1455 | 40 |
| 0 | 1455 | 39 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 x #s(literal 9 binary64)) |
x |
#s(literal 9 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 9 binary64) x) |
x |
#s(literal 9 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| accuracy | 0.23828125 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.26953125 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) | |
| accuracy | 0.26953125 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 30.0ms | 256× | 0 | valid |
Compiled 94 to 26 computations (72.3% saved)
ival-div: 3.0ms (26.4% of total)ival-mult: 3.0ms (26.4% of total)ival-sub: 2.0ms (17.6% of total)ival-sqrt: 2.0ms (17.6% 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 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
(/ 1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(* 9 x) |
(* 3 (sqrt x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 3.0ms | y | @ | inf | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 2.0ms | x | @ | 0 | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 1.0ms | x | @ | inf | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 1.0ms | y | @ | 0 | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 133 |
| 1 | 129 | 133 |
| 2 | 317 | 132 |
| 3 | 794 | 132 |
| 4 | 2020 | 132 |
| 5 | 4406 | 132 |
| 6 | 5634 | 132 |
| 7 | 6810 | 132 |
| 8 | 7948 | 132 |
| 0 | 8034 | 125 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(* 9 x) |
(* 3 (sqrt x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
| Outputs |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- x 1/9) x) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 39 |
| 0 | 19 | 39 |
| 1 | 74 | 33 |
| 2 | 795 | 33 |
| 0 | 8383 | 32 |
| 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 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| 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)) (*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64)) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 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 #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 1/3 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -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 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.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 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 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 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) y) y)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) y) y)) (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) #s(literal 1/3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) y) y)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (neg.f64 y)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) y) y)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
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(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y (neg.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) y)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 y)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(*.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) |
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 3 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/3 binary64))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -3 binary64)) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64)) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y)) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
(neg.f64 (*.f64 (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) #s(literal -1 binary64))) |
Compiled 12 806 to 1 315 computations (89.7% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 423 | 17 | 440 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 423 | 18 | 441 |
| Status | Accuracy | Program |
|---|---|---|
| 99.6% | (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) | |
| ▶ | 99.7% | (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
| 99.3% | (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) | |
| ▶ | 60.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) |
| 99.6% | (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 99.5% | (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 99.3% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 99.5% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 99.5% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 99.6% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| ▶ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) |
| ✓ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 70.3% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| ▶ | 66.4% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 66.5% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) | |
| 63.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) | |
| ▶ | 92.9% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
| 38.7% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
Compiled 646 to 504 computations (22% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) y) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) | |
| cost-diff | 320 | (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) | |
| cost-diff | 0 | (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) | |
| cost-diff | 128 | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) | |
| cost-diff | 128 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) | |
| cost-diff | 384 | (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 296 |
| 0 | 78 | 300 |
| 1 | 143 | 282 |
| 2 | 357 | 282 |
| 3 | 1175 | 281 |
| 4 | 4933 | 281 |
| 0 | 8180 | 277 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 x #s(literal 9 binary64)) |
x |
#s(literal 9 binary64) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) |
(pow.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
x |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
y |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
#s(literal -1 binary64) |
(sqrt.f64 x) |
x |
(*.f64 #s(literal 1/3 binary64) y) |
#s(literal 1/3 binary64) |
y |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
#s(literal -1/3 binary64) |
(sqrt.f64 x) |
x |
y |
(/.f64 #s(literal -1/9 binary64) x) |
#s(literal -1/9 binary64) |
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 9 binary64) x) |
x |
#s(literal 9 binary64) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) y) |
(pow.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) x)) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(/.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) x) |
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) |
x |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
y |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
#s(literal -1 binary64) |
(sqrt.f64 x) |
x |
(*.f64 #s(literal 1/3 binary64) y) |
#s(literal 1/3 binary64) |
y |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) |
(/.f64 (fma.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) |
(fma.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
#s(literal -1/3 binary64) |
(sqrt.f64 x) |
x |
y |
(/.f64 #s(literal -1/9 binary64) x) |
#s(literal -1/9 binary64) |
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.236660009768442 | (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) | |
| accuracy | 0.296875 | (/.f64 #s(literal -1/9 binary64) x) | |
| accuracy | 0.38671875 | (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) | |
| accuracy | 25.001677533942722 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) | |
| accuracy | 0.10384750976844201 | (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) | |
| accuracy | 0.21875 | (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) | |
| accuracy | 0.296875 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.34765625 | (*.f64 #s(literal 1/3 binary64) y) | |
| accuracy | 0.015625 | (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) | |
| accuracy | 0.2109375 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 0.36015315429836026 | (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) | |
| accuracy | 4.243482979580325 | (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) | |
| accuracy | 0.0078125 | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| accuracy | 0.23828125 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.26953125 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 34.01229761791249 | #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 x #s(literal 9 binary64)) | |
| accuracy | 0.0078125 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) | |
| accuracy | 0.26953125 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) | |
| accuracy | 0.3203125 | (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) |
| 106.0ms | 256× | 0 | valid |
Compiled 591 to 93 computations (84.3% saved)
ival-div: 19.0ms (28.2% of total)ival-mult: 12.0ms (17.8% of total)const: 12.0ms (17.8% of total)ival-sub: 8.0ms (11.9% of total)ival-sqrt: 6.0ms (8.9% of total)ival-pow: 6.0ms (8.9% of total)ival-add: 3.0ms (4.5% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(*.f64 #s(literal 1/3 binary64) y) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 (sqrt.f64 x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal -1/9 binary64) x) |
| Outputs |
|---|
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(/ 1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(* 3 (sqrt x)) |
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x) |
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(+ 1/9 (* 1/3 (* (sqrt x) y))) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x) |
(* -1 (sqrt (/ 1 x))) |
(sqrt x) |
(* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow x 2))) |
(/ (- (pow x 2) (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2)) (pow x 2)) |
(* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (* x (- 1/9 (* -1/3 (* (sqrt x) y)))))) |
(/ (+ (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (- 1/9 (* -1/3 (* (sqrt x) y))))) (/ (* x (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2)) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2))) x) |
(/ (+ (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (- 1/9 (* -1/3 (* (sqrt x) y))))) (* x (- (* x (- (/ 1 (- 1/9 (* -1/3 (* (sqrt x) y)))) (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 3)))) (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2)))))) x) |
(/ (+ (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (- 1/9 (* -1/3 (* (sqrt x) y))))) (* x (- (* x (- (+ (* x (- (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 4)) (/ 1 (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2)))) (/ 1 (- 1/9 (* -1/3 (* (sqrt x) y))))) (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 3)))) (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2)))))) x) |
(/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow x 2)) |
(* 9 x) |
(* (sqrt x) y) |
(* -1/3 (sqrt (/ 1 x))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(* 1/3 (* (sqrt x) y)) |
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ (pow y 2) x))) |
(- (+ 1 (* -2/27 (* (sqrt (/ 1 (pow x 3))) y))) (* 1/9 (/ (pow y 2) x))) |
(- (+ 1 (* -1 (/ (+ (* 2/27 (* (sqrt (/ 1 x)) y)) (* 1/81 (/ 1 x))) x))) (* 1/9 (/ (pow y 2) x))) |
(/ (- 1 (* 1/9 (/ (pow y 2) x))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))) |
(- (+ (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (+ (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (* x (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (* 1/9 (/ (pow y 2) (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))))) |
(- (+ (* -1 (/ (+ (* 1/81 (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* 1/9 (/ (- (* -2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (pow x 2))) (+ (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (* x (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (* 1/9 (/ (pow y 2) (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))))) |
(- (+ (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* 1/9 (/ (+ (* 1/9 (/ (- (* -2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* 1/81 (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* (pow x 3) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (* x (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (+ (* 1/9 (/ (- (* -2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (* (pow x 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* 1/9 (/ (pow y 2) (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* 1/81 (/ 1 (* (pow x 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))))))) |
(* 1/9 (/ (pow y 2) x)) |
(+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/9 (/ (pow y 2) x))) |
(+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* 1/9 (/ (pow y 2) x)) (/ 1/81 (pow x 2)))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) |
(- (+ 1 (* -2/27 (* (sqrt (/ 1 (pow x 3))) y))) (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) |
(- (+ 1 (* -1 (/ (- (* 1/81 (/ 1 x)) (* -2/27 (* (sqrt (/ 1 x)) y))) x))) (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) |
(/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))) |
(- (+ (* -1 (/ (- (* 2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* -1/9 (/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) x)) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* -1/9 (/ (pow y 2) (* x (* (pow (sqrt -1) 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))))) |
(- (+ (* -1 (/ (- (+ (* -1/9 (/ (- (* 2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* -1/9 (/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* 2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (/ 1/81 (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))))) (* -1/9 (/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) x)) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* -1/9 (/ (pow y 2) (* x (* (pow (sqrt -1) 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))))) |
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/9 (/ (+ (* -1/9 (/ (- (* 2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* -1/9 (/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* 1/81 (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* -1/9 (/ (- (* 2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* -1/9 (/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* 1/81 (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))))) x)) (* 2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))))) (* -1/9 (/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) x)) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* -1/9 (/ (pow y 2) (* x (* (pow (sqrt -1) 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))))) |
(* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2)))) |
(+ (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2)))) (* 2/27 (* (sqrt (/ 1 (pow x 3))) y))) |
(+ (* -1 (/ (- (* -2/27 (* (sqrt (/ 1 x)) y)) (* 1/81 (/ 1 x))) x)) (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(- x 1/9) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
1/9 |
(* 1/3 y) |
(- 1 (* 1/81 (/ 1 (pow x 2)))) |
(- (+ 1 (* -2/27 (* (sqrt (/ 1 (pow x 3))) y))) (* 1/81 (/ 1 (pow x 2)))) |
(- (+ 1 (* y (- (* -1/9 (/ y x)) (* 2/27 (sqrt (/ 1 (pow x 3))))))) (* 1/81 (/ 1 (pow x 2)))) |
(/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (+ 1 (* 1/9 (/ 1 x)))) |
(- (+ (* y (- (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (/ 1/81 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x)))))) |
(- (+ (* y (- (+ (* -1 (* y (+ (* 1/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))) (+ 1 (* 1/9 (/ 1 x))))))))) (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (/ 1/81 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x)))))) |
(- (+ (* y (- (+ (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* y (- (* 1/3 (* (sqrt (/ 1 x)) (/ (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))) (+ 1 (* 1/9 (/ 1 x)))))) (* 1/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))))) (+ 1 (* 1/9 (/ 1 x)))))) (+ (* 1/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))) (+ 1 (* 1/9 (/ 1 x)))))))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (/ 1/81 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x)))))) |
(/ 1/81 (pow x 2)) |
(+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/81 (/ 1 (pow x 2)))) |
(+ (* y (+ (* 2/27 (sqrt (/ 1 (pow x 3)))) (* 1/9 (/ y x)))) (* 1/81 (/ 1 (pow x 2)))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(* -1/3 (* (sqrt x) y)) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* -1/9 (/ (pow y 2) x)) |
(* (pow y 2) (- (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 1/9 (/ 1 x)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (+ (* 1/9 (/ 1 x)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))))) |
(* y (+ (* -1 (/ (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow y 2))))) (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))) (pow y 2)))) (+ (* -1 (/ (+ 1 (* 1/9 (/ 1 x))) y)) (/ 2/9 (* x y)))))) |
(* y (- (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* 3 (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))) (* -3 (* (sqrt x) (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))))))) (pow y 3)))) (+ (* -1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow y 2)))))) (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))) (pow y 2)))) (+ (* -1 (/ (+ 1 (* 1/9 (/ 1 x))) y)) (/ 2/9 (* x y)))))) |
(* (pow y 2) (+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 1/9 (/ 1 x)))) |
(* (pow y 2) (+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (+ (/ 1/81 (* (pow x 2) (pow y 2))) (* 1/9 (/ 1 x))))) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y)) (* -2/27 (sqrt (/ 1 (pow x 3))))) y)) (* 1/9 (/ 1 x)))) |
(* -1 (* y (+ (* -1 (/ (+ 1 (* 1/9 (/ 1 x))) y)) (+ (* 1/3 (sqrt (/ 1 x))) (/ 2/9 (* x y)))))) |
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (* -3 (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))) (* 3 (* (sqrt x) (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x))))))) y)) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (+ (* -3 (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))) (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* -3 (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))) (* 3 (* (sqrt x) (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))))))) y)))) (* 3 (* (sqrt x) (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x))))))) y)) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (/ (- (* -2/27 (sqrt (/ 1 (pow x 3)))) (* 1/81 (/ 1 (* (pow x 2) y)))) y)) (* 1/9 (/ 1 x)))) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | x | @ | -inf | ((/ (pow x -1/2) (/ 3 y)) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1/9 x))) (/ -1 (sqrt x)) (sqrt x) (* 1/3 y) (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (/ (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (- 1 (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x))) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (* x 9) (* (sqrt x) y) (/ 1/9 x) (/ -1/3 (sqrt x)) (/ -1/9 x)) |
| 7.0ms | y | @ | inf | ((/ (pow x -1/2) (/ 3 y)) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1/9 x))) (/ -1 (sqrt x)) (sqrt x) (* 1/3 y) (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (/ (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (- 1 (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x))) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (* x 9) (* (sqrt x) y) (/ 1/9 x) (/ -1/3 (sqrt x)) (/ -1/9 x)) |
| 6.0ms | y | @ | 0 | ((/ (pow x -1/2) (/ 3 y)) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1/9 x))) (/ -1 (sqrt x)) (sqrt x) (* 1/3 y) (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (/ (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (- 1 (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x))) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (* x 9) (* (sqrt x) y) (/ 1/9 x) (/ -1/3 (sqrt x)) (/ -1/9 x)) |
| 5.0ms | x | @ | 0 | ((/ (pow x -1/2) (/ 3 y)) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1/9 x))) (/ -1 (sqrt x)) (sqrt x) (* 1/3 y) (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (/ (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (- 1 (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x))) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (* x 9) (* (sqrt x) y) (/ 1/9 x) (/ -1/3 (sqrt x)) (/ -1/9 x)) |
| 5.0ms | x | @ | inf | ((/ (pow x -1/2) (/ 3 y)) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1/9 x))) (/ -1 (sqrt x)) (sqrt x) (* 1/3 y) (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (/ (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (- 1 (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x))) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (* x 9) (* (sqrt x) y) (/ 1/9 x) (/ -1/3 (sqrt x)) (/ -1/9 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 440 | 3157 |
| 1 | 1400 | 2946 |
| 2 | 4940 | 2895 |
| 0 | 8458 | 2690 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(/ 1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(* 3 (sqrt x)) |
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x) |
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(+ 1/9 (* 1/3 (* (sqrt x) y))) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x) |
(* -1 (sqrt (/ 1 x))) |
(sqrt x) |
(* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow x 2))) |
(/ (- (pow x 2) (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2)) (pow x 2)) |
(* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (* x (- 1/9 (* -1/3 (* (sqrt x) y)))))) |
(/ (+ (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (- 1/9 (* -1/3 (* (sqrt x) y))))) (/ (* x (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2)) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2))) x) |
(/ (+ (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (- 1/9 (* -1/3 (* (sqrt x) y))))) (* x (- (* x (- (/ 1 (- 1/9 (* -1/3 (* (sqrt x) y)))) (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 3)))) (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2)))))) x) |
(/ (+ (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (- 1/9 (* -1/3 (* (sqrt x) y))))) (* x (- (* x (- (+ (* x (- (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 4)) (/ 1 (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2)))) (/ 1 (- 1/9 (* -1/3 (* (sqrt x) y))))) (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 3)))) (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2)))))) x) |
(/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow x 2)) |
(* 9 x) |
(* (sqrt x) y) |
(* -1/3 (sqrt (/ 1 x))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(* 1/3 (* (sqrt x) y)) |
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ (pow y 2) x))) |
(- (+ 1 (* -2/27 (* (sqrt (/ 1 (pow x 3))) y))) (* 1/9 (/ (pow y 2) x))) |
(- (+ 1 (* -1 (/ (+ (* 2/27 (* (sqrt (/ 1 x)) y)) (* 1/81 (/ 1 x))) x))) (* 1/9 (/ (pow y 2) x))) |
(/ (- 1 (* 1/9 (/ (pow y 2) x))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))) |
(- (+ (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (+ (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (* x (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (* 1/9 (/ (pow y 2) (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))))) |
(- (+ (* -1 (/ (+ (* 1/81 (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* 1/9 (/ (- (* -2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (pow x 2))) (+ (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (* x (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (* 1/9 (/ (pow y 2) (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))))) |
(- (+ (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* 1/9 (/ (+ (* 1/9 (/ (- (* -2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* 1/81 (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* (pow x 3) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (* x (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (+ (* 1/9 (/ (- (* -2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (* (pow x 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* 1/9 (/ (pow y 2) (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* 1/81 (/ 1 (* (pow x 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))))))) |
(* 1/9 (/ (pow y 2) x)) |
(+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/9 (/ (pow y 2) x))) |
(+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* 1/9 (/ (pow y 2) x)) (/ 1/81 (pow x 2)))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) |
(- (+ 1 (* -2/27 (* (sqrt (/ 1 (pow x 3))) y))) (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) |
(- (+ 1 (* -1 (/ (- (* 1/81 (/ 1 x)) (* -2/27 (* (sqrt (/ 1 x)) y))) x))) (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) |
(/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))) |
(- (+ (* -1 (/ (- (* 2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* -1/9 (/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) x)) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* -1/9 (/ (pow y 2) (* x (* (pow (sqrt -1) 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))))) |
(- (+ (* -1 (/ (- (+ (* -1/9 (/ (- (* 2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* -1/9 (/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* 2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (/ 1/81 (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))))) (* -1/9 (/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) x)) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* -1/9 (/ (pow y 2) (* x (* (pow (sqrt -1) 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))))) |
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/9 (/ (+ (* -1/9 (/ (- (* 2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* -1/9 (/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* 1/81 (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* -1/9 (/ (- (* 2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* -1/9 (/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* 1/81 (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))))) x)) (* 2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))))) (* -1/9 (/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) x)) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* -1/9 (/ (pow y 2) (* x (* (pow (sqrt -1) 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))))) |
(* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2)))) |
(+ (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2)))) (* 2/27 (* (sqrt (/ 1 (pow x 3))) y))) |
(+ (* -1 (/ (- (* -2/27 (* (sqrt (/ 1 x)) y)) (* 1/81 (/ 1 x))) x)) (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(- x 1/9) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
1/9 |
(* 1/3 y) |
(- 1 (* 1/81 (/ 1 (pow x 2)))) |
(- (+ 1 (* -2/27 (* (sqrt (/ 1 (pow x 3))) y))) (* 1/81 (/ 1 (pow x 2)))) |
(- (+ 1 (* y (- (* -1/9 (/ y x)) (* 2/27 (sqrt (/ 1 (pow x 3))))))) (* 1/81 (/ 1 (pow x 2)))) |
(/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (+ 1 (* 1/9 (/ 1 x)))) |
(- (+ (* y (- (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (/ 1/81 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x)))))) |
(- (+ (* y (- (+ (* -1 (* y (+ (* 1/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))) (+ 1 (* 1/9 (/ 1 x))))))))) (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (/ 1/81 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x)))))) |
(- (+ (* y (- (+ (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* y (- (* 1/3 (* (sqrt (/ 1 x)) (/ (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))) (+ 1 (* 1/9 (/ 1 x)))))) (* 1/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))))) (+ 1 (* 1/9 (/ 1 x)))))) (+ (* 1/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))) (+ 1 (* 1/9 (/ 1 x)))))))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (/ 1/81 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x)))))) |
(/ 1/81 (pow x 2)) |
(+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/81 (/ 1 (pow x 2)))) |
(+ (* y (+ (* 2/27 (sqrt (/ 1 (pow x 3)))) (* 1/9 (/ y x)))) (* 1/81 (/ 1 (pow x 2)))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(* -1/3 (* (sqrt x) y)) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* -1/9 (/ (pow y 2) x)) |
(* (pow y 2) (- (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 1/9 (/ 1 x)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (+ (* 1/9 (/ 1 x)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))))) |
(* y (+ (* -1 (/ (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow y 2))))) (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))) (pow y 2)))) (+ (* -1 (/ (+ 1 (* 1/9 (/ 1 x))) y)) (/ 2/9 (* x y)))))) |
(* y (- (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* 3 (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))) (* -3 (* (sqrt x) (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))))))) (pow y 3)))) (+ (* -1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow y 2)))))) (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))) (pow y 2)))) (+ (* -1 (/ (+ 1 (* 1/9 (/ 1 x))) y)) (/ 2/9 (* x y)))))) |
(* (pow y 2) (+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 1/9 (/ 1 x)))) |
(* (pow y 2) (+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (+ (/ 1/81 (* (pow x 2) (pow y 2))) (* 1/9 (/ 1 x))))) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y)) (* -2/27 (sqrt (/ 1 (pow x 3))))) y)) (* 1/9 (/ 1 x)))) |
(* -1 (* y (+ (* -1 (/ (+ 1 (* 1/9 (/ 1 x))) y)) (+ (* 1/3 (sqrt (/ 1 x))) (/ 2/9 (* x y)))))) |
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (* -3 (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))) (* 3 (* (sqrt x) (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x))))))) y)) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (+ (* -3 (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))) (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* -3 (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))) (* 3 (* (sqrt x) (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))))))) y)))) (* 3 (* (sqrt x) (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x))))))) y)) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (/ (- (* -2/27 (sqrt (/ 1 (pow x 3)))) (* 1/81 (/ 1 (* (pow x 2) y)))) y)) (* 1/9 (/ 1 x)))) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
| Outputs |
|---|
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64))) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- x 1/9) x) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64))) x) |
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) |
(- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64))) |
(+ 1/9 (* 1/3 (* (sqrt x) y))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x) |
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64))) x) |
(* -1 (sqrt (/ 1 x))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow x 2))) |
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64))) x) x) |
(/ (- (pow x 2) (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2)) (pow x 2)) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) x) x)) |
(* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (* x (- 1/9 (* -1/3 (* (sqrt x) y)))))) |
(/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) x) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))) |
(/ (+ (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (- 1/9 (* -1/3 (* (sqrt x) y))))) (/ (* x (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2)) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2))) x) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (/.f64 x (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))) x) |
(/ (+ (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (- 1/9 (* -1/3 (* (sqrt x) y))))) (* x (- (* x (- (/ 1 (- 1/9 (* -1/3 (* (sqrt x) y)))) (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 3)))) (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2)))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) x (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)))) x (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))) x) |
(/ (+ (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (- 1/9 (* -1/3 (* (sqrt x) y))))) (* x (- (* x (- (+ (* x (- (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 4)) (/ 1 (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2)))) (/ 1 (- 1/9 (* -1/3 (* (sqrt x) y))))) (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 3)))) (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2)))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64))))) x (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)))) x (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))) x) |
(/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow x 2)) |
(/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) x) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) |
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) x x) |
(* 1/3 (* (sqrt x) y)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) |
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal 1/9 binary64)) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(- 1 (* 1/9 (/ (pow y 2) x))) |
(fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) |
(- (+ 1 (* -2/27 (* (sqrt (/ 1 (pow x 3))) y))) (* 1/9 (/ (pow y 2) x))) |
(fma.f64 (*.f64 #s(literal -2/27 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/9 binary64) #s(literal 1 binary64))) |
(- (+ 1 (* -1 (/ (+ (* 2/27 (* (sqrt (/ 1 x)) y)) (* 1/81 (/ 1 x))) x))) (* 1/9 (/ (pow y 2) x))) |
(fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2/27 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/81 binary64) x)) x))) |
(/ (- 1 (* 1/9 (/ (pow y 2) x))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))) |
(/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(- (+ (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (+ (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (* x (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (* 1/9 (/ (pow y 2) (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))))) |
(fma.f64 (*.f64 #s(literal -2/27 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) x) (pow.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/9 binary64)))) |
(- (+ (* -1 (/ (+ (* 1/81 (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* 1/9 (/ (- (* -2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (pow x 2))) (+ (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (* x (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (* 1/9 (/ (pow y 2) (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))))) |
(-.f64 (fma.f64 (*.f64 #s(literal -2/27 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) x) (pow.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/9 binary64)))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/9 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2/27 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (*.f64 x x))) |
(- (+ (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* 1/9 (/ (+ (* 1/9 (/ (- (* -2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* 1/81 (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* (pow x 3) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (* x (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (+ (* 1/9 (/ (- (* -2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (* (pow x 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* 1/9 (/ (pow y 2) (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* 1/81 (/ 1 (* (pow x 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))))))) |
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(fma.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/81 binary64) x) x)) (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal -2/27 binary64))) y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/81 binary64) x) x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(- (+ (* y (- (+ (* -1 (* y (+ (* 1/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))) (+ 1 (* 1/9 (/ 1 x))))))))) (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (/ 1/81 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/81 binary64) x) x)) (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 y) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/81 binary64) x) x)) (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal -2/27 binary64))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/9 binary64) x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal -2/27 binary64)))) y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/81 binary64) x) x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(- (+ (* y (- (+ (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* y (- (* 1/3 (* (sqrt (/ 1 x)) (/ (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))) (+ 1 (* 1/9 (/ 1 x)))))) (* 1/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))))) (+ 1 (* 1/9 (/ 1 x)))))) (+ (* 1/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))) (+ 1 (* 1/9 (/ 1 x)))))))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (/ 1/81 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x)))))) |
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(/ 1/81 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1/81 binary64) x) x) |
(+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/81 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 y #s(literal 2/27 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1/81 binary64) x) x)) |
(+ (* y (+ (* 2/27 (sqrt (/ 1 (pow x 3)))) (* 1/9 (/ y x)))) (* 1/81 (/ 1 (pow x 2)))) |
(fma.f64 (fma.f64 #s(literal 2/27 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 y x) #s(literal 1/9 binary64))) y (/.f64 (/.f64 #s(literal 1/81 binary64) x) x)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal -1/9 binary64) x) y)) y #s(literal 1 binary64)) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal -1/9 binary64) x) y)) y #s(literal 1 binary64)) |
(* -1/3 (* (sqrt x) y)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1/9 binary64)) y) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) y) |
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(* -1/9 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal -1/9 binary64)) |
(* (pow y 2) (- (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 1/9 (/ 1 x)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2/27 binary64) y) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 y y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (+ (* 1/9 (/ 1 x)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))))) |
(fma.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) #s(literal 2/27 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 y y) #s(literal 1 binary64)) |
(* y (+ (* -1 (/ (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 2/9 binary64) x)) y)) y) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow y 2))))) (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))) (pow y 2)))) (+ (* -1 (/ (+ 1 (* 1/9 (/ 1 x))) y)) (/ 2/9 (* x y)))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/81 binary64) x) x)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) (*.f64 y y)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) y))) y) |
(* y (- (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* 3 (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))) (* -3 (* (sqrt x) (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))))))) (pow y 3)))) (+ (* -1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow y 2)))))) (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))) (pow y 2)))) (+ (* -1 (/ (+ 1 (* 1/9 (/ 1 x))) y)) (/ 2/9 (* x y)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/81 binary64) x) x)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/81 binary64) x) x)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) (*.f64 y y)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) y)))) y) |
(* (pow y 2) (+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 1/9 (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) #s(literal 2/27 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 y y)) |
(* (pow y 2) (+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (+ (/ 1/81 (* (pow x 2) (pow y 2))) (* 1/9 (/ 1 x))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) #s(literal 2/27 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1/9 binary64) x))) (*.f64 y y)) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal -1/9 binary64) x) y)) y) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal -1/9 binary64) x) y)) y #s(literal 1 binary64)) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal -1/9 binary64) x) y)) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1/9 binary64)) y) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) y) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/9 binary64) y))) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y)) (* -2/27 (sqrt (/ 1 (pow x 3))))) y)) (* 1/9 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 (fma.f64 #s(literal 2/27 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal -1 binary64)) y)) y)) (*.f64 y y)) |
(* -1 (* y (+ (* -1 (/ (+ 1 (* 1/9 (/ 1 x))) y)) (+ (* 1/3 (sqrt (/ 1 x))) (/ 2/9 (* x y)))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 2/9 binary64) x)) y)) y) |
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (* -3 (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))) (* 3 (* (sqrt x) (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x))))))) y)) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(*.f64 (neg.f64 y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/81 binary64) x) x)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) y) (-.f64 (+.f64 (/.f64 #s(literal 2/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) y))) |
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (+ (* -3 (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))) (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* -3 (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))) (* 3 (* (sqrt x) (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))))))) y)))) (* 3 (* (sqrt x) (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x))))))) y)) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(*.f64 (neg.f64 y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) (fma.f64 (sqrt.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/81 binary64) x) x)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/81 binary64) x) x)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/9 binary64) x) #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 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y))) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)))) y) (-.f64 (+.f64 (/.f64 #s(literal 2/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) y))) |
(* (pow y 2) (+ (* -1 (/ (- (* -2/27 (sqrt (/ 1 (pow x 3)))) (* 1/81 (/ 1 (* (pow x 2) y)))) y)) (* 1/9 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -2/27 binary64) (/.f64 #s(literal -1/81 binary64) (*.f64 (*.f64 y x) x))) y)) (*.f64 y y)) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal -1/9 binary64) x) y)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 243 |
| 0 | 78 | 214 |
| 1 | 337 | 187 |
| 2 | 3614 | 187 |
| 0 | 8785 | 186 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(*.f64 #s(literal 1/3 binary64) y) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 (sqrt.f64 x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal -1/9 binary64) x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64)) (neg.f64 y)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/3 binary64) y)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal 3 binary64) y))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/3 binary64) y))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal -3 binary64) y) #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) y)) |
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -3 binary64) y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -3 binary64) y)) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 3 binary64) y)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) y)) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) y)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)) |
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -3 binary64) y)) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) #s(literal -1 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 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 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 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 9 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -9 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 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)) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x)) (pow.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x)))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x)) (fma.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
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(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x) (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal -1/9 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))) |
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x) (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x)) (fma.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x) (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x)) (fma.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -3 binary64))))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1/9 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (neg.f64 y) (/.f64 #s(literal -1/9 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/9 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal -1/9 binary64) x)) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)) |
(fma.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))) |
(fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (/.f64 #s(literal -1/9 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) x)) |
(fma.f64 #s(literal 1/9 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))) |
(fma.f64 #s(literal 1/9 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
(fma.f64 #s(literal 1/9 binary64) (neg.f64 (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))) |
(fma.f64 #s(literal 1/9 binary64) (neg.f64 (pow.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/9 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) (/.f64 #s(literal -1/9 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))) (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) (/.f64 #s(literal -1/9 binary64) x)) |
(+.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) (/.f64 #s(literal -1/9 binary64) x)) |
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))) |
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
(*.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 9 binary64) (/.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 9 binary64) x) |
(*.f64 x #s(literal 9 binary64)) |
(pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 1/9 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) #s(literal -1/9 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 x #s(literal 1/9 binary64)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -9 binary64) x)) |
(exp.f64 (log.f64 (*.f64 #s(literal 9 binary64) x))) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
(*.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 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 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 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 9 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -9 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 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)) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/9 binary64)) |
(*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/9 binary64) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal -9 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 9 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -9 binary64)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x)) |
(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 (*.f64 #s(literal -9 binary64) x)) #s(literal -1 binary64))) |
Compiled 41 941 to 3 793 computations (91% saved)
22 alts after pruning (20 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 106 | 14 | 1 120 |
| Fresh | 6 | 6 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 116 | 22 | 1 138 |
| Status | Accuracy | Program |
|---|---|---|
| 66.4% | (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) | |
| 66.4% | (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) | |
| 99.3% | (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) | |
| 66.1% | (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) | |
| 99.5% | (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 99.3% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 99.5% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| ▶ | 99.6% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))) |
| ✓ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ▶ | 70.3% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ✓ | 66.4% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 49.7% | #s(approx (/ (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (- 1 (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) x) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))) | |
| 47.0% | #s(approx (/ (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (- 1 (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/81 binary64) x) x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) | |
| 63.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) | |
| 67.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (*.f64 x (+.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))) | |
| ▶ | 54.3% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x))) |
| 93.3% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/9 binary64) y))))) x)) | |
| ▶ | 62.2% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
| ▶ | 31.9% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
| 92.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))))) | |
| 93.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) | |
| 38.7% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
Compiled 1 078 to 770 computations (28.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x))) | |
| cost-diff | 320 | (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) | |
| cost-diff | 640 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/9 binary64) x) | |
| cost-diff | 0 | #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) | |
| cost-diff | 128 | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) | |
| cost-diff | 0 | #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) | |
| cost-diff | 0 | (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) | |
| cost-diff | 0 | #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) | |
| cost-diff | 0 | (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) | |
| cost-diff | 128 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) | |
| cost-diff | 1088 | (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 345 |
| 0 | 75 | 334 |
| 1 | 133 | 314 |
| 2 | 289 | 304 |
| 3 | 685 | 304 |
| 4 | 1685 | 304 |
| 5 | 4894 | 304 |
| 6 | 7957 | 304 |
| 0 | 8327 | 299 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 x #s(literal 9 binary64)) |
x |
#s(literal 9 binary64) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
#s(literal -1 binary64) |
(sqrt.f64 x) |
(/.f64 #s(literal -3 binary64) y) |
#s(literal -3 binary64) |
y |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
(/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x) |
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) |
x |
#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x) |
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
#s(literal -1/3 binary64) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal -1/9 binary64) x) |
#s(literal -1/9 binary64) |
x |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) |
(*.f64 x x) |
x |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
y |
#s(literal 1/9 binary64) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 9 binary64) x) |
x |
#s(literal 9 binary64) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
#s(literal -1 binary64) |
(sqrt.f64 x) |
(/.f64 #s(literal -3 binary64) y) |
#s(literal -3 binary64) |
y |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
(/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x) |
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) |
x |
#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x) |
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x) |
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) |
#s(literal -1/3 binary64) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
y |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal -1/9 binary64) x) |
#s(literal -1/9 binary64) |
x |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x)) |
(/.f64 (-.f64 x (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) |
(*.f64 (-.f64 x (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(*.f64 x x) |
x |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) |
(*.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
y |
#s(literal 1/9 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.28125 | (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) | |
| accuracy | 0.36015315429836026 | (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) | |
| accuracy | 5.01560022996247 | (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) | |
| accuracy | 28.835341476767486 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x)) | |
| accuracy | 0.23828125 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.26953125 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.296875 | (/.f64 #s(literal -1/9 binary64) x) | |
| accuracy | 29.790958160092853 | #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) | |
| accuracy | 0.2109375 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 0.5476531542983603 | (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) | |
| accuracy | 4.243482979580325 | (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x) | |
| accuracy | 39.13830636552582 | #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) | |
| accuracy | 0.0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) | |
| accuracy | 0.015625 | (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) | |
| accuracy | 4.243482979580325 | (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x) | |
| accuracy | 30.678366330940072 | #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) | |
| accuracy | 0.0078125 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))) | |
| accuracy | 0.21875 | (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) | |
| accuracy | 0.26953125 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) | |
| accuracy | 0.3203125 | (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)) |
| 91.0ms | 256× | 0 | valid |
Compiled 615 to 92 computations (85% saved)
ival-mult: 18.0ms (33.1% of total)const: 14.0ms (25.7% of total)ival-div: 12.0ms (22.1% of total)ival-sub: 5.0ms (9.2% of total)ival-add: 2.0ms (3.7% of total)ival-sqrt: 2.0ms (3.7% of total)exact: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
(/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x) |
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) |
#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x) |
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x))) |
(*.f64 x x) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) |
| Outputs |
|---|
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(/ 1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x) |
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(+ 1/9 (* 1/3 (* (sqrt x) y))) |
(* -1/3 (* (sqrt x) y)) |
(* -1 (* x (+ 1/9 (* 1/3 (* (sqrt x) y))))) |
(* x (- x (+ 1/9 (* 1/3 (* (sqrt x) y))))) |
(pow x 2) |
(* -1 (sqrt (/ 1 x))) |
(* (sqrt x) y) |
(* 3 (sqrt x)) |
(* x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(* 1/3 (* (sqrt x) y)) |
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(* (pow x 2) (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(* 1/3 (* (sqrt (pow x 3)) y)) |
(* (pow x 2) (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))) |
(* (pow x 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* (pow x 2) (- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2)))) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- x 1/9) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
1/9 |
(/ (- (pow x 2) (* 1/9 x)) (pow x 2)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (/ 1/9 x)) |
(- (pow x 2) (* 1/9 x)) |
(- (+ (* -1/3 (* (sqrt (pow x 3)) y)) (pow x 2)) (* 1/9 x)) |
(* 1/9 x) |
(+ (* 1/9 x) (* 1/3 (* (sqrt (pow x 3)) y))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* -1/3 (* (sqrt (pow x 3)) y)) |
(* y (- (/ (pow x 2) y) (+ (* 1/9 (/ x y)) (* 1/3 (sqrt (pow x 3)))))) |
(* y (+ (* 1/9 (/ x y)) (* 1/3 (sqrt (pow x 3))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (- (* -1 (/ (- (pow x 2) (* 1/9 x)) y)) (* -1/3 (sqrt (pow x 3)))))) |
(* -1 (* y (+ (* -1/3 (sqrt (pow x 3))) (* -1/9 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((/ (/ -1 (sqrt x)) (/ -3 y)) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ -1 (sqrt x)) (/ -3 y))) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (* -1/3 (* (sqrt x) y)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1/9 x) (/ y (* 3 (sqrt x))) (/ (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (* x x)) (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* x x) (/ -1 (sqrt x)) (* (sqrt x) y) (* 3 (sqrt x)) (+ (* 1/3 (* (sqrt x) y)) 1/9) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) |
| 4.0ms | x | @ | -inf | ((/ (/ -1 (sqrt x)) (/ -3 y)) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ -1 (sqrt x)) (/ -3 y))) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (* -1/3 (* (sqrt x) y)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1/9 x) (/ y (* 3 (sqrt x))) (/ (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (* x x)) (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* x x) (/ -1 (sqrt x)) (* (sqrt x) y) (* 3 (sqrt x)) (+ (* 1/3 (* (sqrt x) y)) 1/9) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) |
| 3.0ms | y | @ | -inf | ((/ (/ -1 (sqrt x)) (/ -3 y)) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ -1 (sqrt x)) (/ -3 y))) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (* -1/3 (* (sqrt x) y)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1/9 x) (/ y (* 3 (sqrt x))) (/ (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (* x x)) (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* x x) (/ -1 (sqrt x)) (* (sqrt x) y) (* 3 (sqrt x)) (+ (* 1/3 (* (sqrt x) y)) 1/9) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) |
| 3.0ms | x | @ | inf | ((/ (/ -1 (sqrt x)) (/ -3 y)) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ -1 (sqrt x)) (/ -3 y))) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (* -1/3 (* (sqrt x) y)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1/9 x) (/ y (* 3 (sqrt x))) (/ (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (* x x)) (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* x x) (/ -1 (sqrt x)) (* (sqrt x) y) (* 3 (sqrt x)) (+ (* 1/3 (* (sqrt x) y)) 1/9) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) |
| 2.0ms | y | @ | 0 | ((/ (/ -1 (sqrt x)) (/ -3 y)) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ -1 (sqrt x)) (/ -3 y))) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (* -1/3 (* (sqrt x) y)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1/9 x) (/ y (* 3 (sqrt x))) (/ (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (* x x)) (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* x x) (/ -1 (sqrt x)) (* (sqrt x) y) (* 3 (sqrt x)) (+ (* 1/3 (* (sqrt x) y)) 1/9) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 697 |
| 1 | 443 | 682 |
| 2 | 1461 | 666 |
| 3 | 4353 | 666 |
| 0 | 8592 | 616 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(/ 1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x) |
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(+ 1/9 (* 1/3 (* (sqrt x) y))) |
(* -1/3 (* (sqrt x) y)) |
(* -1 (* x (+ 1/9 (* 1/3 (* (sqrt x) y))))) |
(* x (- x (+ 1/9 (* 1/3 (* (sqrt x) y))))) |
(pow x 2) |
(* -1 (sqrt (/ 1 x))) |
(* (sqrt x) y) |
(* 3 (sqrt x)) |
(* x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(* 1/3 (* (sqrt x) y)) |
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(* (pow x 2) (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(* 1/3 (* (sqrt (pow x 3)) y)) |
(* (pow x 2) (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))) |
(* (pow x 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* (pow x 2) (- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2)))) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- x 1/9) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
1/9 |
(/ (- (pow x 2) (* 1/9 x)) (pow x 2)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (/ 1/9 x)) |
(- (pow x 2) (* 1/9 x)) |
(- (+ (* -1/3 (* (sqrt (pow x 3)) y)) (pow x 2)) (* 1/9 x)) |
(* 1/9 x) |
(+ (* 1/9 x) (* 1/3 (* (sqrt (pow x 3)) y))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* -1/3 (* (sqrt (pow x 3)) y)) |
(* y (- (/ (pow x 2) y) (+ (* 1/9 (/ x y)) (* 1/3 (sqrt (pow x 3)))))) |
(* y (+ (* 1/9 (/ x y)) (* 1/3 (sqrt (pow x 3))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (- (* -1 (/ (- (pow x 2) (* 1/9 x)) y)) (* -1/3 (sqrt (pow x 3)))))) |
(* -1 (* y (+ (* -1/3 (sqrt (pow x 3))) (* -1/9 (/ x y))))) |
| Outputs |
|---|
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- x 1/9) x) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x) |
(/.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) x) |
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) |
(- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) |
(+ 1/9 (* 1/3 (* (sqrt x) y))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
(* -1/3 (* (sqrt x) y)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -1 (* x (+ 1/9 (* 1/3 (* (sqrt x) y))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x) |
(* x (- x (+ 1/9 (* 1/3 (* (sqrt x) y))))) |
(*.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) x) |
(pow x 2) |
(*.f64 x x) |
(* -1 (sqrt (/ 1 x))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(fma.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64)) |
(* 1/3 (* (sqrt x) y)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) |
(* (pow x 2) (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64)) x) |
(* 1/3 (* (sqrt (pow x 3)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 2) (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) x) |
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(fma.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64)) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* (pow x 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64)) x) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -1/3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) x) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(- x 1/9) |
(-.f64 x #s(literal 1/9 binary64)) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
(-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) |
1/9 |
#s(literal 1/9 binary64) |
(/ (- (pow x 2) (* 1/9 x)) (pow x 2)) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (/ 1/9 x)) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(- (pow x 2) (* 1/9 x)) |
(*.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(- (+ (* -1/3 (* (sqrt (pow x 3)) y)) (pow x 2)) (* 1/9 x)) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* 1/9 x) |
(*.f64 #s(literal 1/9 binary64) x) |
(+ (* 1/9 x) (* 1/3 (* (sqrt (pow x 3)) y))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 x y)) y #s(literal -1/9 binary64)) |
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
(* -1/3 (* (sqrt (pow x 3)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* y (- (/ (pow x 2) y) (+ (* 1/9 (/ x y)) (* 1/3 (sqrt (pow x 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64) (*.f64 x (/.f64 (-.f64 x #s(literal 1/9 binary64)) y))) y) |
(* y (+ (* 1/9 (/ x y)) (* 1/3 (sqrt (pow x 3))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/9 binary64) x)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 x y)) y #s(literal -1/9 binary64)) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
(* -1 (* y (- (* -1 (/ (- (pow x 2) (* 1/9 x)) y)) (* -1/3 (sqrt (pow x 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64) (*.f64 x (/.f64 (-.f64 x #s(literal 1/9 binary64)) y))) y) |
(* -1 (* y (+ (* -1/3 (sqrt (pow x 3))) (* -1/9 (/ x y))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/9 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 308 |
| 0 | 75 | 297 |
| 1 | 300 | 271 |
| 2 | 2579 | 271 |
| 0 | 8696 | 266 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
(/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x) |
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) |
#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x) |
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x))) |
(*.f64 x x) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/3 binary64) y)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 y #s(literal -1 binary64))) #s(literal -1/3 binary64)) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64)) (neg.f64 y)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/3 binary64) y)) |
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) y)) |
(*.f64 (neg.f64 y) (pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y (neg.f64 (sqrt.f64 x)))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1 binary64))))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/3 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(pow.f64 (*.f64 (/.f64 #s(literal -3 binary64) y) (neg.f64 (sqrt.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) y))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) y))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y)) #s(literal 3 binary64)) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) #s(literal -3 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 x)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (neg.f64 (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) y)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) y)) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) y)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -3 binary64) y)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) (neg.f64 (sqrt.f64 x))) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) |
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) y) (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -3 binary64) y) (neg.f64 (sqrt.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y)))) |
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(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y)) |
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(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 x))) #s(literal -1 binary64))) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x #s(literal -1/81 binary64)) (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x #s(literal -1/81 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64)))) (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x #s(literal -1/81 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64))))))) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x #s(literal -1/81 binary64))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x #s(literal -1/81 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x #s(literal -1/81 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64)))) (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x #s(literal -1/81 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64)))) (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x) #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64)) |
(fma.f64 y (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) |
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)))) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x) (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) |
(+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) #s(literal 1/9 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x) #s(literal 1/9 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x) #s(literal 1/9 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 1/9 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x)) (*.f64 (*.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x) (-.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x) (*.f64 #s(literal 1/9 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))) (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)))) (*.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))) (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))) (-.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/9 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))) (*.f64 x #s(literal 1/9 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x #s(literal -1/81 binary64)) x)) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x #s(literal -1/81 binary64)))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x #s(literal -1/81 binary64)) x) (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) x) (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64))))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x #s(literal -1/81 binary64))) (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64))) (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64))))) |
(fma.f64 #s(literal 1/9 binary64) x (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x (*.f64 #s(literal 1/9 binary64) x)) |
(fma.f64 x #s(literal 1/9 binary64) (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)))) |
(fma.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) (*.f64 x #s(literal 1/9 binary64))) |
(+.f64 (*.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x)) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x) (*.f64 #s(literal 1/9 binary64) x)) |
(+.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)))) |
(+.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))) (*.f64 x #s(literal 1/9 binary64))) |
Compiled 23 487 to 2 347 computations (90% saved)
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 673 | 7 | 680 |
| Fresh | 10 | 5 | 15 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 1 | 2 |
| Total | 688 | 14 | 702 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 66.4% | (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
| 66.1% | (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) | |
| ▶ | 99.5% | (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 70.4% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| ✓ | 70.3% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 66.3% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))) | |
| ✓ | 66.4% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 63.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) | |
| 93.3% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/9 binary64) y))))) x)) | |
| 47.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 x (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))) | |
| ▶ | 32.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
| ▶ | 62.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))) |
| 47.3% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x)))) | |
| ▶ | 62.2% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
Compiled 690 to 511 computations (25.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) | |
| cost-diff | 0 | #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) | |
| cost-diff | 0 | #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) | |
| cost-diff | 0 | (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))) | |
| cost-diff | 0 | #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) | |
| cost-diff | 128 | (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 323 |
| 0 | 62 | 319 |
| 1 | 103 | 309 |
| 2 | 204 | 309 |
| 3 | 401 | 309 |
| 4 | 692 | 309 |
| 5 | 1280 | 309 |
| 6 | 2359 | 309 |
| 7 | 2954 | 309 |
| 8 | 3357 | 309 |
| 9 | 3517 | 309 |
| 10 | 3549 | 309 |
| 11 | 3555 | 309 |
| 12 | 3558 | 309 |
| 13 | 3559 | 309 |
| 0 | 3559 | 293 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
#s(literal -2 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) |
#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))) |
#s(literal 1 binary64) |
(/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) |
x |
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) |
#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
#s(literal -1/3 binary64) |
(sqrt.f64 x) |
x |
y |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x) |
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
#s(literal -1/3 binary64) |
(sqrt.f64 x) |
x |
y |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -2 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
#s(literal -2 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) |
(/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x) |
#s(literal 1 binary64) |
(/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) |
#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x) |
#s(literal 1 binary64) |
(/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) |
x |
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) |
#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
#s(literal -1/3 binary64) |
(sqrt.f64 x) |
x |
y |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)))) x)) |
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x) |
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)))) x) |
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) |
(*.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x))) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
#s(literal -1/3 binary64) |
(sqrt.f64 x) |
x |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.234375 | (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) | |
| accuracy | 0.3203125 | (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) | |
| accuracy | 4.243482979580325 | (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x) | |
| accuracy | 39.13830636552582 | #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.08203125 | (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) | |
| accuracy | 0.38671875 | (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) | |
| accuracy | 34.01229761791249 | #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) | |
| accuracy | 0.20703125 | (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))) | |
| accuracy | 4.215932040546711 | (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) | |
| accuracy | 30.678366330940072 | #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) | |
| accuracy | 0.0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) | |
| accuracy | 4.313795479580324 | (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) | |
| accuracy | 30.678366330940072 | #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) | |
| accuracy | 0.23828125 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.26953125 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 0.26953125 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.4815025879159782 | (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64)) |
| 81.0ms | 247× | 0 | valid |
| 3.0ms | 6× | 1 | valid |
| 2.0ms | 3× | 2 | valid |
Compiled 565 to 82 computations (85.5% saved)
ival-div: 31.0ms (45.6% of total)ival-mult: 12.0ms (17.6% of total)const: 9.0ms (13.2% of total)ival-sub: 7.0ms (10.3% of total)ival-pow: 3.0ms (4.4% of total)ival-sqrt: 2.0ms (2.9% of total)ival-add: 2.0ms (2.9% of total)adjust: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) |
(/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) |
#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))) |
(/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) |
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x) |
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ 1/9 x) |
(* 3 (sqrt x)) |
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x) |
(+ 1/9 (* 1/3 (* (sqrt x) y))) |
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x) |
(* -1 (/ x (+ 1/9 (* 1/3 (* (sqrt x) y))))) |
(* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y)))))) |
(* x (- (* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 3))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y)))))) |
(* x (- (* x (- (* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 4))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 3)))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y)))))) |
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x) |
(* -1/3 (sqrt (/ 1 x))) |
(sqrt x) |
(* -1/3 (* (sqrt x) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (sqrt x)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(* 1/3 (* (sqrt x) y)) |
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(+ (* 1/9 (/ 1 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2)))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))) |
(+ (/ 1/81 (* (pow x 2) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 3))) (+ (/ 1/9 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))))) |
(+ (/ 1/9 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2))) (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 3)))) (+ (* 1/729 (/ 1 (* (pow x 3) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 4)))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))))) |
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) |
(/ -1/9 (* x (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))) |
(/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(+ (* 1/9 (/ 1 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2)))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(+ (/ 1/81 (* (pow x 2) (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 3))) (+ (/ 1/9 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(+ (* -1 (/ (- (* -1 (/ (+ (* 1/729 (/ 1 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 4)))) (* 1/81 (/ 1 (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 3)))) x)) (* 1/9 (/ 1 (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2)))) x)) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* 1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
1/9 |
(/ x (- x 1/9)) |
(+ (* 1/3 (* (sqrt (pow x 3)) (/ y (pow (- x 1/9) 2)))) (/ x (- x 1/9))) |
(+ (* y (- (* 1/9 (/ (* (pow x 2) y) (pow (- x 1/9) 3))) (* -1/3 (* (sqrt (pow x 3)) (/ 1 (pow (- x 1/9) 2)))))) (/ x (- x 1/9))) |
(+ (* y (- (* y (- (* 1/27 (* (sqrt (pow x 5)) (/ y (pow (- x 1/9) 4)))) (* -1/9 (/ (pow x 2) (pow (- x 1/9) 3))))) (* -1/3 (* (sqrt (pow x 3)) (/ 1 (pow (- x 1/9) 2)))))) (/ x (- x 1/9))) |
(- x 1/9) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(* -3 (* (sqrt x) (/ 1 y))) |
(/ (+ (* -9 (/ (- x 1/9) y)) (* -3 (sqrt x))) y) |
(/ (- (+ (* -27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) (pow y 2)))) (* -3 (sqrt x))) (* 9 (/ (- x 1/9) y))) y) |
(/ (- (+ (* -81 (/ (pow (- x 1/9) 3) (* x (pow y 3)))) (* -3 (sqrt x))) (+ (* 9 (/ (- x 1/9) y)) (* 27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) (pow y 2)))))) y) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(* -1 (/ (+ (* 3 (sqrt x)) (* 9 (/ (- x 1/9) y))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) y))) (* 9 (- x 1/9))) y)) (* 3 (sqrt x))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 81 (/ (pow (- x 1/9) 3) (* x y))) (* -27 (* (sqrt (/ 1 x)) (pow (- x 1/9) 2)))) y)) (* 9 (- x 1/9))) y)) (* 3 (sqrt x))) y)) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (- 1 (pow (* (sqrt x) 3) -2)) (pow (* (sqrt x) 3) -2) (* (sqrt x) 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ (+ (* (* (sqrt x) y) 1/3) 1/9) x)) (/ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (+ (* (* (sqrt x) y) 1/3) 1/9) (/ 1 (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9)))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/ -1/3 (sqrt x)) (sqrt x) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (* (* -1/3 (sqrt x)) y) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* -1/3 (sqrt x))) |
| 3.0ms | x | @ | 0 | ((- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (- 1 (pow (* (sqrt x) 3) -2)) (pow (* (sqrt x) 3) -2) (* (sqrt x) 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ (+ (* (* (sqrt x) y) 1/3) 1/9) x)) (/ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (+ (* (* (sqrt x) y) 1/3) 1/9) (/ 1 (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9)))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/ -1/3 (sqrt x)) (sqrt x) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (* (* -1/3 (sqrt x)) y) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* -1/3 (sqrt x))) |
| 3.0ms | x | @ | inf | ((- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (- 1 (pow (* (sqrt x) 3) -2)) (pow (* (sqrt x) 3) -2) (* (sqrt x) 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ (+ (* (* (sqrt x) y) 1/3) 1/9) x)) (/ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (+ (* (* (sqrt x) y) 1/3) 1/9) (/ 1 (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9)))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/ -1/3 (sqrt x)) (sqrt x) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (* (* -1/3 (sqrt x)) y) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* -1/3 (sqrt x))) |
| 3.0ms | y | @ | inf | ((- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (- 1 (pow (* (sqrt x) 3) -2)) (pow (* (sqrt x) 3) -2) (* (sqrt x) 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ (+ (* (* (sqrt x) y) 1/3) 1/9) x)) (/ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (+ (* (* (sqrt x) y) 1/3) 1/9) (/ 1 (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9)))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/ -1/3 (sqrt x)) (sqrt x) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (* (* -1/3 (sqrt x)) y) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* -1/3 (sqrt x))) |
| 2.0ms | y | @ | 0 | ((- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (- 1 (pow (* (sqrt x) 3) -2)) (pow (* (sqrt x) 3) -2) (* (sqrt x) 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ (+ (* (* (sqrt x) y) 1/3) 1/9) x)) (/ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (+ (* (* (sqrt x) y) 1/3) 1/9) (/ 1 (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9)))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/ -1/3 (sqrt x)) (sqrt x) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (* (* -1/3 (sqrt x)) y) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* -1/3 (sqrt x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 287 | 1313 |
| 1 | 782 | 1274 |
| 2 | 2431 | 1258 |
| 3 | 6815 | 1255 |
| 0 | 8089 | 1160 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ 1/9 x) |
(* 3 (sqrt x)) |
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x) |
(+ 1/9 (* 1/3 (* (sqrt x) y))) |
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x) |
(* -1 (/ x (+ 1/9 (* 1/3 (* (sqrt x) y))))) |
(* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y)))))) |
(* x (- (* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 3))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y)))))) |
(* x (- (* x (- (* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 4))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 3)))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y)))))) |
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x) |
(* -1/3 (sqrt (/ 1 x))) |
(sqrt x) |
(* -1/3 (* (sqrt x) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (sqrt x)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(* 1/3 (* (sqrt x) y)) |
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(+ (* 1/9 (/ 1 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2)))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))) |
(+ (/ 1/81 (* (pow x 2) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 3))) (+ (/ 1/9 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))))) |
(+ (/ 1/9 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2))) (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 3)))) (+ (* 1/729 (/ 1 (* (pow x 3) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 4)))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))))) |
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) |
(/ -1/9 (* x (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))) |
(/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(+ (* 1/9 (/ 1 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2)))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(+ (/ 1/81 (* (pow x 2) (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 3))) (+ (/ 1/9 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(+ (* -1 (/ (- (* -1 (/ (+ (* 1/729 (/ 1 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 4)))) (* 1/81 (/ 1 (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 3)))) x)) (* 1/9 (/ 1 (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2)))) x)) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* 1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
1/9 |
(/ x (- x 1/9)) |
(+ (* 1/3 (* (sqrt (pow x 3)) (/ y (pow (- x 1/9) 2)))) (/ x (- x 1/9))) |
(+ (* y (- (* 1/9 (/ (* (pow x 2) y) (pow (- x 1/9) 3))) (* -1/3 (* (sqrt (pow x 3)) (/ 1 (pow (- x 1/9) 2)))))) (/ x (- x 1/9))) |
(+ (* y (- (* y (- (* 1/27 (* (sqrt (pow x 5)) (/ y (pow (- x 1/9) 4)))) (* -1/9 (/ (pow x 2) (pow (- x 1/9) 3))))) (* -1/3 (* (sqrt (pow x 3)) (/ 1 (pow (- x 1/9) 2)))))) (/ x (- x 1/9))) |
(- x 1/9) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(* -3 (* (sqrt x) (/ 1 y))) |
(/ (+ (* -9 (/ (- x 1/9) y)) (* -3 (sqrt x))) y) |
(/ (- (+ (* -27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) (pow y 2)))) (* -3 (sqrt x))) (* 9 (/ (- x 1/9) y))) y) |
(/ (- (+ (* -81 (/ (pow (- x 1/9) 3) (* x (pow y 3)))) (* -3 (sqrt x))) (+ (* 9 (/ (- x 1/9) y)) (* 27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) (pow y 2)))))) y) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(* -1 (/ (+ (* 3 (sqrt x)) (* 9 (/ (- x 1/9) y))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) y))) (* 9 (- x 1/9))) y)) (* 3 (sqrt x))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 81 (/ (pow (- x 1/9) 3) (* x y))) (* -27 (* (sqrt (/ 1 x)) (pow (- x 1/9) 2)))) y)) (* 9 (- x 1/9))) y)) (* 3 (sqrt x))) y)) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
| Outputs |
|---|
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64))) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- x 1/9) x) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) |
(+ 1/9 (* 1/3 (* (sqrt x) y))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64))) x) |
(* -1 (/ x (+ 1/9 (* 1/3 (* (sqrt x) y))))) |
(/.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))) |
(* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y)))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) x) |
(* x (- (* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 3))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y)))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) x) |
(* x (- (* x (- (* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 4))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 3)))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y)))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) x) |
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) |
(- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64))) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x) |
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #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)) |
(sqrt x) |
(sqrt.f64 x) |
(* -1/3 (* (sqrt x) y)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (sqrt x)) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/9 binary64) x)) |
(* 1/3 (* (sqrt x) y)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal 1/9 binary64)) |
(/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(+ (* 1/9 (/ 1 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2)))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))) |
(+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(+ (/ 1/81 (* (pow x 2) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 3))) (+ (/ 1/9 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))))) |
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1/9 binary64) x) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(+ (/ 1/9 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2))) (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 3)))) (+ (* 1/729 (/ 1 (* (pow x 3) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 4)))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))))) |
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) |
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) |
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64)) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(/ -1/9 (* x (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1/9 binary64) x) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/9 binary64) x)) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal 1/9 binary64)) |
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(+ (* 1/9 (/ 1 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2)))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(+ (/ 1/81 (* (pow x 2) (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 3))) (+ (/ 1/9 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1/9 binary64) x) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(+ (* -1 (/ (- (* -1 (/ (+ (* 1/729 (/ 1 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 4)))) (* 1/81 (/ 1 (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 3)))) x)) (* 1/9 (/ 1 (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2)))) x)) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) x) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64)))) x)) x)) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
1/9 |
#s(literal 1/9 binary64) |
(/ x (- x 1/9)) |
(/.f64 x (-.f64 x #s(literal 1/9 binary64))) |
(+ (* 1/3 (* (sqrt (pow x 3)) (/ y (pow (- x 1/9) 2)))) (/ x (- x 1/9))) |
(fma.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 x (-.f64 x #s(literal 1/9 binary64)))) |
(+ (* y (- (* 1/9 (/ (* (pow x 2) y) (pow (- x 1/9) 3))) (* -1/3 (* (sqrt (pow x 3)) (/ 1 (pow (- x 1/9) 2)))))) (/ x (- x 1/9))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 3 binary64))) #s(literal 1/9 binary64)) (*.f64 x x))) y (/.f64 x (-.f64 x #s(literal 1/9 binary64)))) |
(+ (* y (- (* y (- (* 1/27 (* (sqrt (pow x 5)) (/ y (pow (- x 1/9) 4)))) (* -1/9 (/ (pow x 2) (pow (- x 1/9) 3))))) (* -1/3 (* (sqrt (pow x 3)) (/ 1 (pow (- x 1/9) 2)))))) (/ x (- x 1/9))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 4 binary64))) #s(literal 1/27 binary64)) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 3 binary64)))) y)) y (/.f64 x (-.f64 x #s(literal 1/9 binary64)))) |
(- x 1/9) |
(-.f64 x #s(literal 1/9 binary64)) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* -3 (* (sqrt x) (/ 1 y))) |
(*.f64 (/.f64 (sqrt.f64 x) y) #s(literal -3 binary64)) |
(/ (+ (* -9 (/ (- x 1/9) y)) (* -3 (sqrt x))) y) |
(/.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 1 binary64)) y)) y) |
(/ (- (+ (* -27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) (pow y 2)))) (* -3 (sqrt x))) (* 9 (/ (- x 1/9) y))) y) |
(/.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64)) y) #s(literal -27 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -9 binary64) x #s(literal 1 binary64))) y)) y) |
(/ (- (+ (* -81 (/ (pow (- x 1/9) 3) (* x (pow y 3)))) (* -3 (sqrt x))) (+ (* 9 (/ (- x 1/9) y)) (* 27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) (pow y 2)))))) y) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1/9 binary64)) y) #s(literal 3 binary64)) (/.f64 #s(literal -81 binary64) x) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64)) y) #s(literal -27 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -9 binary64) x #s(literal 1 binary64))) y))) y) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 x y)) y #s(literal -1/9 binary64)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/9 binary64) x)) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* -1 (/ (+ (* 3 (sqrt x)) (* 9 (/ (- x 1/9) y))) y)) |
(/.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 1 binary64)) y)) y) |
(* -1 (/ (+ (* -1 (/ (- (* -27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) y))) (* 9 (- x 1/9))) y)) (* 3 (sqrt x))) y)) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64)) y) #s(literal -27 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -9 binary64) x #s(literal 1 binary64))) (neg.f64 y))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 81 (/ (pow (- x 1/9) 3) (* x y))) (* -27 (* (sqrt (/ 1 x)) (pow (- x 1/9) 2)))) y)) (* 9 (- x 1/9))) y)) (* 3 (sqrt x))) y)) |
(/.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 (-.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 81 binary64) y) (/.f64 (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 3 binary64)) x))) y)) y)) y) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 x y)) y #s(literal -1/9 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 291 |
| 0 | 62 | 291 |
| 1 | 263 | 268 |
| 2 | 2415 | 268 |
| 0 | 8366 | 253 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) |
(/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) |
#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))) |
(/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) |
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x) |
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64)) |
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(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))) |
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y (neg.f64 (sqrt.f64 x)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x))) |
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) y))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) y)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) |
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) |
Compiled 21 041 to 2 004 computations (90.5% saved)
15 alts after pruning (8 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 570 | 3 | 573 |
| Fresh | 2 | 5 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 572 | 15 | 587 |
| Status | Accuracy | Program |
|---|---|---|
| 66.1% | (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) | |
| ✓ | 66.4% | (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
| ✓ | 99.5% | (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 70.4% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| ✓ | 70.3% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 66.3% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))) | |
| ✓ | 66.4% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 63.6% | #s(approx (- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) | |
| 93.3% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/9 binary64) y))))) x)) | |
| 47.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 x (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))) | |
| ✓ | 32.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
| ✓ | 62.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))) |
| 38.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal -3 binary64))))) | |
| 47.3% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x)))) | |
| ✓ | 62.2% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
Compiled 1 445 to 508 computations (64.8% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 x (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal -3 binary64))))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/9 binary64) y))))) x)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x))) |
#s(approx (/ (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (- 1 (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/81 binary64) x) x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) |
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (/ (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (- 1 (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) x) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (*.f64 x (+.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) |
3 calls:
| 76.0ms | x |
| 11.0ms | y |
| 10.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 x (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal -3 binary64))))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/9 binary64) y))))) x)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x))) |
#s(approx (/ (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (- 1 (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/81 binary64) x) x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
3 calls:
| 11.0ms | x |
| 11.0ms | y |
| 9.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 x (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal -3 binary64))))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/9 binary64) y))))) x)) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
3 calls:
| 8.0ms | y |
| 8.0ms | x |
| 7.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 x (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal -3 binary64))))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
3 calls:
| 9.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 7.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 x (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal -3 binary64))))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
3 calls:
| 10.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 6.0ms | x |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | x |
| 99.7% | 3 | y |
| 98.2% | 2 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 x (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 x (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 x (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
| Outputs |
|---|
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
3 calls:
| 39.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.0% | 3 | y |
| 81.7% | 3 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 80.6% | 2 | x |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x)))) |
3 calls:
| 24.0ms | y |
| 2.0ms | x |
| 2.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.8% | 2 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 62.2% | 1 | x |
| 64.8% | 2 | y |
Compiled 16 to 16 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
2 calls:
| 1.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.2% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 62.2% | 1 | y |
Compiled 15 to 14 computations (6.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 7.378283919953866e+68 | 5.653771210784042e+70 |
| 11.0ms | 112× | 0 | valid |
Compiled 304 to 269 computations (11.5% saved)
ival-sqrt: 4.0ms (47.6% of total)ival-div: 1.0ms (11.9% of total)ival-sub: 1.0ms (11.9% of total)ival-mult: 1.0ms (11.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 7.066056254468594e-6 | 57.3107461902116 |
| 9.0ms | 144× | 0 | valid |
Compiled 449 to 377 computations (16% saved)
ival-div: 2.0ms (32.8% of total)ival-mult: 2.0ms (32.8% of total)ival-sub: 1.0ms (16.4% of total)ival-sqrt: 1.0ms (16.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 7.066056254468594e-6 | 57.3107461902116 |
Compiled 368 to 323 computations (12.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 51.0ms | 3.0122811816026786e+42 | 1.5180380193602517e+56 |
| 15.0ms | -5.188634750851549e+75 | -2.5896285248194866e+70 |
| 54.0ms | 304× | 0 | valid |
Compiled 862 to 748 computations (13.2% saved)
ival-div: 4.0ms (31% of total)ival-mult: 4.0ms (31% of total)ival-sub: 3.0ms (23.2% of total)ival-sqrt: 2.0ms (15.5% 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 | 3.0122811816026786e+42 | 1.5180380193602517e+56 |
| 1.0ms | -5.188634750851549e+75 | -2.5896285248194866e+70 |
Compiled 853 to 739 computations (13.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.0122811816026786e+42 | 1.5180380193602517e+56 |
| 1.0ms | -5.188634750851549e+75 | -2.5896285248194866e+70 |
Compiled 853 to 739 computations (13.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 2.498632498825321e+127 | 2.069858661272498e+139 |
| 10.0ms | 160× | 0 | valid |
Compiled 637 to 517 computations (18.8% saved)
ival-div: 2.0ms (29.1% of total)ival-mult: 2.0ms (29.1% of total)ival-sub: 1.0ms (14.5% of total)ival-sqrt: 1.0ms (14.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 462 |
| 1 | 125 | 462 |
| 2 | 214 | 462 |
| 3 | 366 | 462 |
| 4 | 580 | 462 |
| 5 | 981 | 462 |
| 6 | 2515 | 462 |
| 7 | 5997 | 462 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(if (<=.f64 x #s(literal 749999999999999958617605982028872697222091610340567490467462480134144 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -64999999999999997818313430902900420587732714450632600824357610279927808 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 360000000000000007671539654766762878089356640256 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -64999999999999997818313430902900420587732714450632600824357610279927808 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 360000000000000007671539654766762878089356640256 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -64999999999999997818313430902900420587732714450632600824357610279927808 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 360000000000000007671539654766762878089356640256 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal 20500000000000001003780015423825284095191411626757559672204766720444923283749551545854922588524084872615570067936252353157900070513014734848 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) |
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(if (<=.f64 x #s(literal 749999999999999958617605982028872697222091610340567490467462480134144 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -64999999999999997818313430902900420587732714450632600824357610279927808 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 360000000000000007671539654766762878089356640256 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -64999999999999997818313430902900420587732714450632600824357610279927808 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 360000000000000007671539654766762878089356640256 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))))) |
(if (or (<=.f64 y #s(literal -64999999999999997818313430902900420587732714450632600824357610279927808 binary64)) (not (<=.f64 y #s(literal 360000000000000007671539654766762878089356640256 binary64)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))) |
(if (<=.f64 y #s(literal -64999999999999997818313430902900420587732714450632600824357610279927808 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 360000000000000007671539654766762878089356640256 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))))) |
(if (or (<=.f64 y #s(literal -64999999999999997818313430902900420587732714450632600824357610279927808 binary64)) (not (<=.f64 y #s(literal 360000000000000007671539654766762878089356640256 binary64)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))) |
(if (<=.f64 y #s(literal 20500000000000001003780015423825284095191411626757559672204766720444923283749551545854922588524084872615570067936252353157900070513014734848 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 243 |
| 0 | 78 | 214 |
| 1 | 337 | 187 |
| 2 | 3614 | 187 |
| 0 | 8785 | 186 |
| 0 | 55 | 133 |
| 1 | 129 | 133 |
| 2 | 317 | 132 |
| 3 | 794 | 132 |
| 4 | 2020 | 132 |
| 5 | 4406 | 132 |
| 6 | 5634 | 132 |
| 7 | 6810 | 132 |
| 8 | 7948 | 132 |
| 0 | 8034 | 125 |
| 0 | 50 | 308 |
| 0 | 75 | 297 |
| 1 | 300 | 271 |
| 2 | 2579 | 271 |
| 0 | 8696 | 266 |
| 0 | 440 | 3157 |
| 1 | 1400 | 2946 |
| 2 | 4940 | 2895 |
| 0 | 8458 | 2690 |
| 0 | 12 | 39 |
| 0 | 19 | 39 |
| 1 | 74 | 33 |
| 2 | 795 | 33 |
| 0 | 8383 | 32 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 187 to 612 computations (48.4% saved)
Compiled 980 to 230 computations (76.5% saved)
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