
Time bar (total: 5.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 100% | 50% | 0% | 0.1% | 0% | 50% | 0% | 2 |
Compiled 16 to 14 computations (12.5% saved)
| 961.0ms | 8 256× | 0 | valid |
ival-div: 265.0ms (44.7% of total)ival-mult: 181.0ms (30.5% of total)ival-sub: 70.0ms (11.8% of total)ival-sqrt: 56.0ms (9.4% of total)exact: 12.0ms (2% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #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 |
| 52.0ms | 512× | 0 | valid |
Compiled 156 to 52 computations (66.7% saved)
ival-div: 16.0ms (44.2% of total)ival-mult: 11.0ms (30.4% of total)ival-sub: 4.0ms (11% of total)ival-sqrt: 4.0ms (11% of total)exact: 1.0ms (2.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 78 |
| 1 | 80 | 64 |
| 2 | 237 | 62 |
| 3 | 684 | 62 |
| 4 | 1686 | 62 |
| 5 | 3182 | 62 |
| 6 | 3916 | 62 |
| 7 | 4157 | 62 |
| 8 | 4243 | 62 |
| 9 | 4247 | 62 |
| 10 | 4247 | 62 |
| 11 | 4251 | 62 |
| 0 | 12 | 14 |
| 0 | 19 | 14 |
| 1 | 33 | 12 |
| 2 | 71 | 12 |
| 3 | 151 | 12 |
| 4 | 292 | 12 |
| 5 | 605 | 12 |
| 6 | 1209 | 12 |
| 7 | 1527 | 12 |
| 8 | 1659 | 12 |
| 9 | 1721 | 12 |
| 10 | 1724 | 12 |
| 0 | 1724 | 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 | 151 | 40 |
| 4 | 292 | 40 |
| 5 | 605 | 40 |
| 6 | 1209 | 40 |
| 7 | 1527 | 40 |
| 8 | 1659 | 40 |
| 9 | 1721 | 40 |
| 10 | 1724 | 40 |
| 0 | 1724 | 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 | 0.01171875 | (-.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 | 0.25 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.31640625 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.48595083771717884 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 23.0ms | 256× | 0 | valid |
Compiled 94 to 26 computations (72.3% saved)
ival-mult: 5.0ms (32.5% of total)ival-sub: 4.0ms (26% of total)ival-div: 3.0ms (19.5% of total)ival-sqrt: 3.0ms (19.5% 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 | |
|---|---|---|---|---|
| 8.0ms | 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)))) |
| 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)))) |
| 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 | 146 |
| 0 | 136 | 140 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 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)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/9 binary64) x) y))) y) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 39 |
| 0 | 19 | 39 |
| 1 | 75 | 33 |
| 2 | 805 | 33 |
| 0 | 8489 | 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 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.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 (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/9 binary64)) |
(*.f64 (fabs.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (fabs.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(*.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 -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64)) |
(*.f64 #s(literal 1/9 binary64) (fabs.f64 (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 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 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64)) |
(/.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 1/3 binary64)) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 9 binary64)) |
(/.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 9 binary64)) |
(/.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) (fabs.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)) |
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(fabs.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(fabs.f64 (/.f64 #s(literal 1/9 binary64) x)) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) (sinh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (-.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x))))) |
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(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))) |
(-.f64 #s(literal 0 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 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 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 -1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))) |
(+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))) |
(+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) #s(literal 9 binary64)) |
(*.f64 (fabs.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (fabs.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fabs.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 x) #s(literal -9 binary64)) |
(*.f64 #s(literal -9 binary64) (neg.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) |
(*.f64 #s(literal -3 binary64) (*.f64 #s(literal -3 binary64) x)) |
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal -3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 9 binary64) (neg.f64 (neg.f64 x))) |
(*.f64 #s(literal 9 binary64) x) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(pow.f64 (*.f64 #s(literal -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 1/9 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(/.f64 #s(literal -9 binary64) (/.f64 #s(literal -1 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 (*.f64 #s(literal 9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 x #s(literal 1/9 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(neg.f64 (*.f64 #s(literal -9 binary64) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -9 binary64) x)) |
(fabs.f64 (*.f64 #s(literal 9 binary64) x)) |
(exp.f64 (log.f64 (*.f64 #s(literal 9 binary64) x))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (neg.f64 (sqrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal -1/2 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 -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 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y #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 (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (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 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #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 #s(literal 1/3 binary64) y) (sqrt.f64 x)) |
(/.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 y #s(literal 1/3 binary64)) (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 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) |
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (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 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.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 10 523 to 1 240 computations (88.2% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 396 | 14 | 410 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 396 | 15 | 411 |
| 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))) |
| 99.5% | (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) | |
| 99.6% | (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))))) | |
| 99.6% | (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) | |
| 74.3% | (/.f64 (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 -1/9 binary64) x) #s(literal -1 binary64)) (*.f64 y #s(literal 1/3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (sqrt.f64 x))) | |
| ▶ | 99.7% | (-.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)))) |
| 99.4% | (-.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)))) |
| 99.6% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) | |
| ✓ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 72.7% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| ▶ | 64.8% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ▶ | 95.5% | #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)) |
| 39.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) | |
| 68.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x))) |
Compiled 514 to 418 computations (18.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) | |
| cost-diff | 128 | (-.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)))) | |
| cost-diff | 320 | (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) | |
| 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 (-.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 (-.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 | 128 | (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) | |
| 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) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) | |
| cost-diff | 128 | (-.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)))) | |
| cost-diff | 704 | (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 237 |
| 0 | 63 | 238 |
| 1 | 115 | 230 |
| 2 | 269 | 212 |
| 3 | 579 | 208 |
| 4 | 1191 | 208 |
| 5 | 2403 | 208 |
| 6 | 4277 | 208 |
| 7 | 5519 | 208 |
| 8 | 5870 | 208 |
| 9 | 5916 | 208 |
| 10 | 5934 | 208 |
| 11 | 5934 | 208 |
| 12 | 6064 | 208 |
| 13 | 6296 | 208 |
| 14 | 6501 | 208 |
| 15 | 6630 | 208 |
| 16 | 6630 | 208 |
| 17 | 6630 | 208 |
| 18 | 6638 | 208 |
| 0 | 6638 | 204 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 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) |
(-.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 -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.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 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 #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
| Outputs |
|---|
(-.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)))) |
(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 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
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) |
(-.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 (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1/3 binary64)) #s(literal -1/3 binary64) x) x)) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1/3 binary64)) #s(literal -1/3 binary64) x) x) |
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1/3 binary64)) #s(literal -1/3 binary64) x) |
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 -1/3 binary64) (sqrt.f64 x)) 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 -1/3 binary64) (sqrt.f64 x)) |
#s(literal -1/3 binary64) |
(sqrt.f64 x) |
x |
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 #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)))) |
(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 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) |
(*.f64 #s(literal 9 binary64) x) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(/.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)) |
(sqrt.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.21875 | (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) | |
| accuracy | 0.25 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.31640625 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.48595083771717884 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.09765625 | (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) | |
| accuracy | 0.35546875 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.37337875976844204 | (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.00390625 | (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) | |
| accuracy | 0.1953125 | (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) | |
| accuracy | 0.203125 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 2.8267109678518185 | (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) | |
| accuracy | 0.01171875 | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| accuracy | 0.25 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.31640625 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 36.34066749316334 | #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (-.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)))) | |
| accuracy | 0.23828125 | (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) | |
| accuracy | 0.25 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.31640625 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 89.0ms | 256× | 0 | valid |
Compiled 464 to 80 computations (82.8% saved)
ival-div: 32.0ms (48.1% of total)ival-mult: 11.0ms (16.5% of total)ival-sub: 9.0ms (13.5% of total)const: 9.0ms (13.5% of total)ival-add: 2.0ms (3% of total)ival-sqrt: 2.0ms (3% 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) x) #s(literal -9 binary64)) |
(-.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(-.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)) |
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
#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) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 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))) |
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 x) y) |
(/.f64 #s(literal 1/9 binary64) 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) |
(/ -1 x) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 3 (sqrt x)) |
(* -1 (+ 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) |
(+ 1/9 (* 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) |
(* 9 x) |
(* (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)))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -3 (* (sqrt x) (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 (* 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 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 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(- x 1/9) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
1/9 |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt x) y)) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(* 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 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((/ (/ -1 x) -9) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ -1 x) -9)) (/ -1 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1/9 x))) (/ -1/3 (sqrt x)) (sqrt x) (- 1 (/ 1/9 x)) (/ 1 (* (* 3 x) 3)) (* (* 3 x) 3) (- (- 1 (/ 1 (* (* 3 x) 3))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* (* 3 x) 3))) (* (sqrt x) y) (/ 1/9 x)) |
| 4.0ms | x | @ | -inf | ((/ (/ -1 x) -9) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ -1 x) -9)) (/ -1 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1/9 x))) (/ -1/3 (sqrt x)) (sqrt x) (- 1 (/ 1/9 x)) (/ 1 (* (* 3 x) 3)) (* (* 3 x) 3) (- (- 1 (/ 1 (* (* 3 x) 3))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* (* 3 x) 3))) (* (sqrt x) y) (/ 1/9 x)) |
| 2.0ms | x | @ | inf | ((/ (/ -1 x) -9) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ -1 x) -9)) (/ -1 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1/9 x))) (/ -1/3 (sqrt x)) (sqrt x) (- 1 (/ 1/9 x)) (/ 1 (* (* 3 x) 3)) (* (* 3 x) 3) (- (- 1 (/ 1 (* (* 3 x) 3))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* (* 3 x) 3))) (* (sqrt x) y) (/ 1/9 x)) |
| 2.0ms | y | @ | -inf | ((/ (/ -1 x) -9) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ -1 x) -9)) (/ -1 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1/9 x))) (/ -1/3 (sqrt x)) (sqrt x) (- 1 (/ 1/9 x)) (/ 1 (* (* 3 x) 3)) (* (* 3 x) 3) (- (- 1 (/ 1 (* (* 3 x) 3))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* (* 3 x) 3))) (* (sqrt x) y) (/ 1/9 x)) |
| 2.0ms | y | @ | 0 | ((/ (/ -1 x) -9) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ -1 x) -9)) (/ -1 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1/9 x))) (/ -1/3 (sqrt x)) (sqrt x) (- 1 (/ 1/9 x)) (/ 1 (* (* 3 x) 3)) (* (* 3 x) 3) (- (- 1 (/ 1 (* (* 3 x) 3))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* (* 3 x) 3))) (* (sqrt x) y) (/ 1/9 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 505 |
| 0 | 316 | 479 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 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) |
(/ -1 x) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 3 (sqrt x)) |
(* -1 (+ 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) |
(+ 1/9 (* 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) |
(* 9 x) |
(* (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)))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -3 (* (sqrt x) (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 (* 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 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 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(- x 1/9) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
1/9 |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt x) y)) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(* 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 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
| Outputs |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #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) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(/ (+ x (* -1 (+ 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 (* 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 (-.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) x) #s(literal 1/9 binary64)) x) |
(* -1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt x) |
(sqrt.f64 x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) x) |
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) 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)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y (/.f64 #s(literal 1/9 binary64) x)) x) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal 1 binary64))) x)) |
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))) |
(-.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) (neg.f64 (/.f64 #s(literal 1/9 binary64) x))) x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 x))) |
(- x 1/9) |
(-.f64 x #s(literal 1/9 binary64)) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
(-.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) x) #s(literal 1/9 binary64)) |
1/9 |
#s(literal 1/9 binary64) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/9 binary64) x) y))) y) |
(* -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 x y) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) y))) y) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y)) y) |
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) y)) y) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y))) y)) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1/9 binary64)) y) #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) y)) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y))) y)) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) y)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 183 |
| 0 | 63 | 184 |
| 1 | 291 | 154 |
| 2 | 3540 | 154 |
| 0 | 8133 | 153 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(-.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)) |
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
#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) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 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))) |
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1/3 binary64)) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/9 binary64)) |
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/9 binary64)) |
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1/9 binary64) (fabs.f64 (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/9 binary64) (fabs.f64 (/.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (fabs.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 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)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(pow.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -9 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (neg.f64 x) #s(literal -9 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #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 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)) |
(/.f64 (fabs.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)) |
(/.f64 (fabs.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) |
(/.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 9 binary64)) |
(/.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 9 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 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) (*.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (*.f64 #s(literal 3 binary64) x))) |
(/.f64 #s(literal 1/9 binary64) (fabs.f64 (*.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1/9 binary64) (fabs.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (*.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/3 binary64) (fabs.f64 (*.f64 #s(literal 3 binary64) x))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -9 binary64)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (neg.f64 x) #s(literal -9 binary64)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -9 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -9 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 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 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -9 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 x) #s(literal -9 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(fabs.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(fabs.f64 (/.f64 #s(literal 1/9 binary64) x)) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) (sinh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (-.f64 (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))) |
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(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x) (-.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 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (-.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 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #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 (neg.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) y)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 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 (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (-.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))) (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (-.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))) (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x)))) |
(+.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(+.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) (-.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 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (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) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.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 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)))))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/9 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1/3 binary64)) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/9 binary64)) |
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/9 binary64)) |
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1/9 binary64) (fabs.f64 (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/9 binary64) (fabs.f64 (/.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (fabs.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 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)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(pow.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -9 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (neg.f64 x) #s(literal -9 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #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 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)) |
(/.f64 (fabs.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)) |
(/.f64 (fabs.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) |
(/.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 9 binary64)) |
(/.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 9 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 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) (*.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (*.f64 #s(literal 3 binary64) x))) |
(/.f64 #s(literal 1/9 binary64) (fabs.f64 (*.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1/9 binary64) (fabs.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (*.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/3 binary64) (fabs.f64 (*.f64 #s(literal 3 binary64) x))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -9 binary64)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (neg.f64 x) #s(literal -9 binary64)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -9 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -9 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 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 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -9 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 x) #s(literal -9 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(fabs.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(fabs.f64 (/.f64 #s(literal 1/9 binary64) x)) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) (sinh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)))) |
Compiled 17 542 to 2 008 computations (88.6% saved)
19 alts after pruning (16 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 653 | 15 | 668 |
| Fresh | 8 | 1 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 664 | 19 | 683 |
| Status | Accuracy | Program |
|---|---|---|
| 64.8% | (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) | |
| 64.8% | (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) | |
| 64.7% | (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))) | |
| ✓ | 99.7% | (-.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)))) |
| 99.4% | (-.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)))) | |
| ✓ | 99.7% | (-.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)))) |
| ▶ | 99.6% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 72.7% | (-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 64.7% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))) | |
| ✓ | 64.8% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 39.1% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) | |
| 68.6% | #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 (+.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) x))) | |
| ▶ | 54.4% | #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))) |
| ▶ | 62.4% | #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)) |
| ▶ | 35.0% | #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)) |
| 95.4% | #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)))))) | |
| ▶ | 95.5% | #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))) |
| 95.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x))) | |
| 68.6% | #s(approx (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1/9 x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
Compiled 800 to 627 computations (21.6% 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 | (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #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 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) 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 3 binary64) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))) | |
| cost-diff | 0 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| cost-diff | 320 | (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 353 |
| 0 | 65 | 326 |
| 1 | 133 | 318 |
| 2 | 366 | 318 |
| 3 | 1287 | 318 |
| 4 | 6693 | 318 |
| 0 | 8079 | 318 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x)) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 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 (-.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 |
#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))) |
(-.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(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 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
#s(literal 1/9 binary64) |
#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 1/3 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
x |
(/.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)) |
(sqrt.f64 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 (-.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 (sqrt.f64 x) y) #s(literal -1/3 binary64))) 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 (sqrt.f64 x) y) #s(literal -1/3 binary64))) 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 (sqrt.f64 x) y) #s(literal -1/3 binary64))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
#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)) |
(-.f64 #s(literal 1 binary64) (/.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 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #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 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
#s(literal 1/9 binary64) |
#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 (sqrt.f64 x) y) #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 (sqrt.f64 x) y) #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 (sqrt.f64 x) y) #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 (sqrt.f64 x) y) #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 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
y |
#s(literal 1/9 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.203125 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 0.24609375 | (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) | |
| accuracy | 2.8437396791510294 | (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) | |
| accuracy | 28.731284942474623 | (/.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 | #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))) | |
| accuracy | 0.1953125 | (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) | |
| accuracy | 0.203125 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 2.8774922178518185 | (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) | |
| accuracy | 0.203125 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 0.3515625 | (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) | |
| accuracy | 2.8267109678518185 | (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x) | |
| accuracy | 38.81004754618967 | #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) | |
| accuracy | 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 | 0.00390625 | (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) | |
| accuracy | 2.8267109678518185 | (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x) | |
| accuracy | 30.14878907947601 | #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) | |
| accuracy | 0.01171875 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| accuracy | 0.25 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.31640625 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.5718883377171788 | (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x)) |
| 69.0ms | 256× | 0 | valid |
Compiled 630 to 83 computations (86.8% saved)
ival-mult: 13.0ms (27.7% of total)ival-div: 11.0ms (23.4% of total)const: 10.0ms (21.3% of total)ival-sub: 8.0ms (17% of total)ival-add: 2.0ms (4.3% of total)ival-sqrt: 2.0ms (4.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))) |
(*.f64 #s(literal 3 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 (-.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)) |
#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))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) 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)) |
(/.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 3 binary64) (sqrt.f64 x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) 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) |
(* 3 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 (* 1/3 (* (sqrt x) y))) x) |
(* -1 (* x (+ 1/9 (* 1/3 (* (sqrt x) y))))) |
(* x (- x (+ 1/9 (* 1/3 (* (sqrt x) y))))) |
(pow x 2) |
(* 3 (sqrt x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* (sqrt x) y) |
(* 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)))) |
(+ (* 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)))) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(+ (* -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))))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (* y (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)))) |
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x 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 (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x 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 | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((/ 1/3 (* 3 x)) (- (- 1 (/ 1/3 (* 3 x))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/3 (* 3 x))) (* 3 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 (/ 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 (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x) (+ (* 1/3 (* (sqrt x) y)) 1/9) (/ (- (* 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) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* (sqrt x) y) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) |
| 4.0ms | x | @ | -inf | ((/ 1/3 (* 3 x)) (- (- 1 (/ 1/3 (* 3 x))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/3 (* 3 x))) (* 3 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 (/ 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 (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x) (+ (* 1/3 (* (sqrt x) y)) 1/9) (/ (- (* 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) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* (sqrt x) y) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) |
| 4.0ms | y | @ | -inf | ((/ 1/3 (* 3 x)) (- (- 1 (/ 1/3 (* 3 x))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/3 (* 3 x))) (* 3 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 (/ 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 (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x) (+ (* 1/3 (* (sqrt x) y)) 1/9) (/ (- (* 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) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* (sqrt x) y) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) |
| 3.0ms | x | @ | 0 | ((/ 1/3 (* 3 x)) (- (- 1 (/ 1/3 (* 3 x))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/3 (* 3 x))) (* 3 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 (/ 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 (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x) (+ (* 1/3 (* (sqrt x) y)) 1/9) (/ (- (* 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) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* (sqrt x) y) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) |
| 3.0ms | y | @ | 0 | ((/ 1/3 (* 3 x)) (- (- 1 (/ 1/3 (* 3 x))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/3 (* 3 x))) (* 3 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 (/ 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 (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x) (+ (* 1/3 (* (sqrt x) y)) 1/9) (/ (- (* 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) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* (sqrt x) y) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 886 |
| 0 | 489 | 838 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 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) |
(* 3 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 (* 1/3 (* (sqrt x) y))) x) |
(* -1 (* x (+ 1/9 (* 1/3 (* (sqrt x) y))))) |
(* x (- x (+ 1/9 (* 1/3 (* (sqrt x) y))))) |
(pow x 2) |
(* 3 (sqrt x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* (sqrt x) y) |
(* 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)))) |
(+ (* 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)))) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(+ (* -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))))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (* y (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)))) |
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x 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 (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x 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 |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (neg.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) |
(* 3 x) |
(*.f64 #s(literal 3 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)))) |
(neg.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)))) |
(-.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)) |
(/ (+ 1/9 (* 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 (* x (+ 1/9 (* 1/3 (* (sqrt x) y))))) |
(neg.f64 (*.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) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y #s(literal 1 binary64)) x) |
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) 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)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y (/.f64 #s(literal 1/9 binary64) x)) x) |
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y (/.f64 #s(literal 1/9 binary64) x)) |
(* (pow x 2) (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 x x)) |
(* 1/3 (* (sqrt (pow x 3)) y)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)) y) |
(* (pow x 2) (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 x x)) |
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal 1 binary64))) x)) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) (neg.f64 (/.f64 #s(literal 1/9 binary64) x))) x)) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) |
(- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64)) |
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(* (pow x 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #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 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x))) (*.f64 x x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 x))) |
(* -1/3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64)) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 x x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y #s(literal 1 binary64)) (/.f64 #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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) x) #s(literal 1/9 binary64)) |
1/9 |
#s(literal 1/9 binary64) |
(/ (- (pow x 2) (* 1/9 x)) (pow x 2)) |
(/.f64 (fma.f64 x x (*.f64 #s(literal -1/9 binary64) x)) (*.f64 x x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (/ 1/9 x)) |
(-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(- (pow x 2) (* 1/9 x)) |
(fma.f64 x x (*.f64 #s(literal -1/9 binary64) x)) |
(- (+ (* -1/3 (* (sqrt (pow x 3)) y)) (pow x 2)) (* 1/9 x)) |
(fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y) #s(literal -1/3 binary64) (fma.f64 x x (*.f64 #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 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)) y (*.f64 #s(literal 1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) y) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/9 binary64) x) y))) y) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y)) y) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) y))) y) |
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) y)) y) |
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/9 binary64) x) y)) y) |
(* -1/3 (* (sqrt (pow x 3)) y)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64)) y) |
(* y (- (/ (pow x 2) y) (+ (* 1/9 (/ x y)) (* 1/3 (sqrt (pow x 3)))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal -1/9 binary64) x)) y) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))) y) |
(* 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 (/.f64 x y) #s(literal 1/9 binary64))) y) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y))) y)) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y))) y)) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1/9 binary64)) y) #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) y)) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) y)) y)) |
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) y))) y)) |
(* -1 (* y (- (* -1 (/ (- (pow x 2) (* 1/9 x)) y)) (* -1/3 (sqrt (pow x 3)))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal -1/9 binary64) x)) y) #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))) y)) |
(* -1 (* y (+ (* -1/3 (sqrt (pow x 3))) (* -1/9 (/ x y))))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64) (*.f64 (/.f64 x y) #s(literal -1/9 binary64))) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 311 |
| 0 | 65 | 284 |
| 1 | 299 | 276 |
| 2 | 2919 | 276 |
| 0 | 8862 | 271 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))) |
(*.f64 #s(literal 3 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 (-.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)) |
#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))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) 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)) |
(/.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 3 binary64) (sqrt.f64 x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1/3 binary64)) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/9 binary64)) |
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/9 binary64) (fabs.f64 (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.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 1/3 binary64) (fabs.f64 (pow.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (fabs.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 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 (/.f64 x #s(literal 1/9 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 (fabs.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 9 binary64)) |
(/.f64 (fabs.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) |
(/.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 9 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -9 binary64)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.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 (/.f64 x #s(literal 1/9 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)))) |
(/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -3 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) (fabs.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x #s(literal 1/9 binary64)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 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) (/.f64 x #s(literal 1/9 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)) |
(/.f64 #s(literal 1/3 binary64) (fabs.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)))) |
(/.f64 #s(literal 1/3 binary64) (fabs.f64 (*.f64 #s(literal -3 binary64) x))) |
(/.f64 #s(literal 1/3 binary64) (fabs.f64 (*.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 #s(literal -3 binary64) x))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(sqrt.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -2 binary64))) |
(fabs.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(fabs.f64 (/.f64 #s(literal 1/9 binary64) x)) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) (sinh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #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 (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))) (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))) |
(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 y #s(literal 1/3 binary64)) #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))) (-.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)))) #s(literal -1 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)))) (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))))) |
(/.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 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.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)) (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x))))))) |
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(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) x) (fma.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64))))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x #s(literal -1/81 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal -1/9 binary64))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64))) (fma.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64))))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) x (*.f64 #s(literal 1/9 binary64) x)) |
(fma.f64 #s(literal 1/9 binary64) x (*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) x)) |
(fma.f64 x (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/9 binary64))) |
(fma.f64 x #s(literal 1/9 binary64) (*.f64 x (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)))) |
(+.f64 (*.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) x)) |
(+.f64 (*.f64 x (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64))) (*.f64 x #s(literal 1/9 binary64))) |
(+.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) x) (*.f64 #s(literal 1/9 binary64) x)) |
Compiled 28 817 to 2 931 computations (89.8% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 801 | 5 | 806 |
| Fresh | 3 | 8 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 807 | 18 | 825 |
| Status | Accuracy | Program |
|---|---|---|
| 64.8% | (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) | |
| ▶ | 64.8% | (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
| ▶ | 64.7% | (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))) |
| ✓ | 99.7% | (-.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)))) |
| ✓ | 99.7% | (-.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)))) |
| 72.7% | (-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 64.7% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))) | |
| ✓ | 64.8% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 39.1% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) | |
| ✓ | 62.4% | #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)) |
| ▶ | 48.0% | #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 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x))) |
| 42.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) (*.f64 x x))) | |
| ✓ | 35.0% | #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)) |
| 62.4% | #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)))))) | |
| 46.8% | #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)))) | |
| ▶ | 62.4% | #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))) |
| ▶ | 95.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x))) |
| 68.6% | #s(approx (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1/9 x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
Compiled 801 to 606 computations (24.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) | |
| cost-diff | 0 | (*.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)))) | |
| cost-diff | 0 | #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 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x))) | |
| cost-diff | 1024 | (/.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 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) 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 | #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 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 128 | (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) | |
| cost-diff | 320 | (*.f64 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 395 |
| 0 | 66 | 329 |
| 1 | 124 | 313 |
| 2 | 315 | 308 |
| 3 | 951 | 308 |
| 4 | 3512 | 308 |
| 0 | 8535 | 305 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #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 #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) |
(/.f64 #s(literal -1 binary64) x) |
#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))) |
(-.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 |
(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 (*.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 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) 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 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x)) |
(*.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 #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 |
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) |
(*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) 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))) |
(/.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 |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 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)) |
(*.f64 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) |
(-.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) |
(-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) |
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #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 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
y |
#s(literal 1/9 binary64) |
(/.f64 #s(literal -1 binary64) x) |
#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))) |
#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 |
(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 (*.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 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) 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 (*.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 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x)) |
(/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x) |
(*.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 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 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)) |
#s(literal 1/9 binary64) |
x |
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) |
(*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) 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))) |
(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 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 |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1484375 | (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))) | |
| accuracy | 0.25390625 | (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) | |
| accuracy | 0.36328125 | (*.f64 #s(literal 1/3 binary64) y) | |
| accuracy | 36.34066749316334 | #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) | |
| accuracy | 0.09375 | (*.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)))) | |
| accuracy | 0.15625 | (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x) | |
| accuracy | 19.64689516335695 | (/.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 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x)) | |
| accuracy | 30.14878907947601 | #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.09765625 | (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) | |
| accuracy | 0.37337875976844204 | (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) | |
| accuracy | 36.34066749316334 | #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) | |
| accuracy | 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 | 2.8774922178518185 | (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) | |
| accuracy | 30.14878907947601 | #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) | |
| accuracy | 0.00390625 | (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) | |
| accuracy | 0.1953125 | (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) | |
| accuracy | 0.203125 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 2.8758709776202602 | (*.f64 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
| 110.0ms | 256× | 0 | valid |
Compiled 695 to 87 computations (87.5% saved)
ival-sub: 17.0ms (24% of total)ival-mult: 16.0ms (22.6% of total)const: 13.0ms (18.3% of total)ival-div: 11.0ms (15.5% of total)ival-sqrt: 6.0ms (8.5% of total)ival-add: 5.0ms (7.1% of total)exact: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (-.f64 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 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x))) |
(-.f64 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 #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)) |
(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)) |
(/.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 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) 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 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x))) |
(*.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 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #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))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) y) |
(*.f64 (sqrt.f64 x) y) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
(*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x) |
| Outputs |
|---|
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x) |
(+ 1/9 (* 1/3 (* (sqrt x) y))) |
(+ 1/9 (+ (* -1 x) (* 1/3 (* (sqrt x) y)))) |
(/ (- x (+ 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))) x) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x) |
(* -1/3 (sqrt (/ 1 x))) |
(sqrt x) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(* -1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)) |
(+ (* -1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)) (* x (+ 1/9 (+ (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) (* 1/3 (* (sqrt x) y)))))) |
(+ (* -1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)) (* x (+ 1/9 (+ x (+ (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) (* 1/3 (* (sqrt x) y))))))) |
(+ 1/9 (+ x (* 1/3 (* (sqrt x) y)))) |
(* -1 (sqrt (/ 1 x))) |
(* (sqrt x) y) |
(* x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(* x (+ 1/9 (+ x (* 1/3 (* (sqrt x) y))))) |
(* -1 (- (* 1/3 (* (sqrt (/ 1 x)) y)) 1)) |
(- (* -1 (- (* 1/3 (* (sqrt (/ 1 x)) y)) 1)) (* 1/9 (/ 1 x))) |
(* x (- (* 1/3 (* (sqrt (/ 1 x)) y)) 1)) |
(* x (- (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) 1)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 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 (/ 1 x)) y)) |
(+ (* 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 (* 1/9 (/ 1 x))) |
(* (pow x 2) (* (+ 1 (* 1/3 (* (sqrt (/ 1 x)) y))) (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))) |
(* (pow x 2) (+ (* -1/9 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 x)) y))) x)) (+ (* 1/9 (/ (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) x)) (* (+ 1 (* 1/3 (* (sqrt (/ 1 x)) y))) (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))))) |
(* (pow x 2) (- (+ (* -1/9 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 x)) y))) x)) (+ (* 1/9 (/ (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) x)) (* (+ 1 (* 1/3 (* (sqrt (/ 1 x)) y))) (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))))) (/ 1/81 (pow x 2)))) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ 1 (+ (* 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 (* 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 (* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (+ 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 (* -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 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (pow x 2) (* (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))) |
(* (pow x 2) (+ (* -1 (* (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) (+ (* 1/9 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) x)) (* 1/9 (/ (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) x))))) |
(* (pow x 2) (+ (* -1 (* (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) (* -1 (/ (+ (* -1 (+ (* 1/9 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (* 1/9 (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))) (* 1/81 (/ 1 x))) x)))) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (+ 1 (* 1/9 (/ 1 x)))))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (pow x 2) (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) |
(* (pow x 2) (+ (* -1 (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)) (* 1/9 (/ 1 x)))) |
(* -1 (/ (- 1/9 x) x)) |
(+ (* -1 (/ (- 1/9 x) x)) (* -1/3 (* (sqrt (/ 1 x)) y))) |
(- 1/9 x) |
(- (+ 1/9 (* 1/3 (* (sqrt x) y))) x) |
(- x 1/9) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
(/ 1/9 x) |
1/9 |
(* (+ 1/9 x) (- x 1/9)) |
(+ (* y (+ (* -1/3 (* (sqrt x) (+ 1/9 x))) (* 1/3 (* (sqrt x) (- x 1/9))))) (* (+ 1/9 x) (- x 1/9))) |
(+ (* y (+ (* -1/3 (* (sqrt x) (+ 1/9 x))) (+ (* -1/9 (* x y)) (* 1/3 (* (sqrt x) (- x 1/9)))))) (* (+ 1/9 x) (- x 1/9))) |
(+ 1/9 x) |
(* 1/3 y) |
(* x (+ 1/9 x)) |
(+ (* 1/3 (* (sqrt (pow x 3)) y)) (* x (+ 1/9 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) (* -1/3 (sqrt (/ 1 x))))) |
(* y (- (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))) (/ x y))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt x) y)) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 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)))) |
(* -1/9 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/3 (* (sqrt x) (/ (+ 1/9 x) y))) (+ (* -1/9 x) (* 1/3 (* (sqrt x) (/ (- x 1/9) y)))))) |
(* (pow y 2) (+ (* -1/3 (* (sqrt x) (/ (+ 1/9 x) y))) (+ (* -1/9 x) (+ (* 1/3 (* (sqrt x) (/ (- x 1/9) y))) (/ (* (+ 1/9 x) (- x 1/9)) (pow y 2)))))) |
(* y (+ (* 1/3 (sqrt x)) (+ (* 1/9 (/ 1 y)) (/ x y)))) |
(* 1/3 (* (sqrt (pow x 3)) y)) |
(* y (+ (* 1/3 (sqrt (pow x 3))) (/ (* x (+ 1/9 x)) y))) |
(* -1 (* y (- (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))) (/ 1 y)))) |
(* -1 (* y (+ (* -1 (/ (- 1/9 x) y)) (* -1/3 (sqrt 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 (/ 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)))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1/3 (* (sqrt x) (- x 1/9))) (* 1/3 (* (sqrt x) (+ 1/9 x)))) y)) (* -1/9 x))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (* (+ 1/9 x) (- x 1/9)) y)) (+ (* -1/3 (* (sqrt x) (- x 1/9))) (* 1/3 (* (sqrt x) (+ 1/9 x))))) y)) (* -1/9 x))) |
(* -1 (* y (+ (* -1 (/ (+ 1/9 x) y)) (* -1/3 (sqrt x))))) |
(* -1 (* y (+ (* -1 (/ (* x (+ 1/9 x)) y)) (* -1/3 (sqrt (pow x 3)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((* (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (/ -1 x)) (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- x (+ (* 1/3 (* (sqrt x) y)) 1/9)) (- (- 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) (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/ -1/3 (sqrt x)) (sqrt x) (- 1 (/ 1 (* x 9))) (/ (* (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (* (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1 (* x 9)))) (/ -1 (sqrt x)) (* 1/3 y) (* (sqrt x) y) (+ (* 1/3 (* (sqrt x) y)) 1/9) (* (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) x)) |
| 3.0ms | x | @ | inf | ((* (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (/ -1 x)) (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- x (+ (* 1/3 (* (sqrt x) y)) 1/9)) (- (- 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) (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/ -1/3 (sqrt x)) (sqrt x) (- 1 (/ 1 (* x 9))) (/ (* (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (* (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1 (* x 9)))) (/ -1 (sqrt x)) (* 1/3 y) (* (sqrt x) y) (+ (* 1/3 (* (sqrt x) y)) 1/9) (* (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) x)) |
| 3.0ms | y | @ | inf | ((* (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (/ -1 x)) (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- x (+ (* 1/3 (* (sqrt x) y)) 1/9)) (- (- 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) (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/ -1/3 (sqrt x)) (sqrt x) (- 1 (/ 1 (* x 9))) (/ (* (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (* (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1 (* x 9)))) (/ -1 (sqrt x)) (* 1/3 y) (* (sqrt x) y) (+ (* 1/3 (* (sqrt x) y)) 1/9) (* (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) x)) |
| 3.0ms | y | @ | -inf | ((* (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (/ -1 x)) (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- x (+ (* 1/3 (* (sqrt x) y)) 1/9)) (- (- 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) (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/ -1/3 (sqrt x)) (sqrt x) (- 1 (/ 1 (* x 9))) (/ (* (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (* (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1 (* x 9)))) (/ -1 (sqrt x)) (* 1/3 y) (* (sqrt x) y) (+ (* 1/3 (* (sqrt x) y)) 1/9) (* (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) x)) |
| 3.0ms | x | @ | 0 | ((* (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (/ -1 x)) (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- x (+ (* 1/3 (* (sqrt x) y)) 1/9)) (- (- 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) (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/ -1/3 (sqrt x)) (sqrt x) (- 1 (/ 1 (* x 9))) (/ (* (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (* (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1 (* x 9)))) (/ -1 (sqrt x)) (* 1/3 y) (* (sqrt x) y) (+ (* 1/3 (* (sqrt x) y)) 1/9) (* (+ (+ (* (* (sqrt x) y) 1/3) 1/9) x) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 279 | 1683 |
| 0 | 997 | 1581 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x) |
(+ 1/9 (* 1/3 (* (sqrt x) y))) |
(+ 1/9 (+ (* -1 x) (* 1/3 (* (sqrt x) y)))) |
(/ (- x (+ 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))) x) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x) |
(* -1/3 (sqrt (/ 1 x))) |
(sqrt x) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(* -1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)) |
(+ (* -1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)) (* x (+ 1/9 (+ (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) (* 1/3 (* (sqrt x) y)))))) |
(+ (* -1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)) (* x (+ 1/9 (+ x (+ (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) (* 1/3 (* (sqrt x) y))))))) |
(+ 1/9 (+ x (* 1/3 (* (sqrt x) y)))) |
(* -1 (sqrt (/ 1 x))) |
(* (sqrt x) y) |
(* x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(* x (+ 1/9 (+ x (* 1/3 (* (sqrt x) y))))) |
(* -1 (- (* 1/3 (* (sqrt (/ 1 x)) y)) 1)) |
(- (* -1 (- (* 1/3 (* (sqrt (/ 1 x)) y)) 1)) (* 1/9 (/ 1 x))) |
(* x (- (* 1/3 (* (sqrt (/ 1 x)) y)) 1)) |
(* x (- (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) 1)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 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 (/ 1 x)) y)) |
(+ (* 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 (* 1/9 (/ 1 x))) |
(* (pow x 2) (* (+ 1 (* 1/3 (* (sqrt (/ 1 x)) y))) (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))) |
(* (pow x 2) (+ (* -1/9 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 x)) y))) x)) (+ (* 1/9 (/ (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) x)) (* (+ 1 (* 1/3 (* (sqrt (/ 1 x)) y))) (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))))) |
(* (pow x 2) (- (+ (* -1/9 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 x)) y))) x)) (+ (* 1/9 (/ (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) x)) (* (+ 1 (* 1/3 (* (sqrt (/ 1 x)) y))) (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))))) (/ 1/81 (pow x 2)))) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ 1 (+ (* 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 (* 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 (* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (+ 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 (* -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 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (pow x 2) (* (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))) |
(* (pow x 2) (+ (* -1 (* (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) (+ (* 1/9 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) x)) (* 1/9 (/ (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) x))))) |
(* (pow x 2) (+ (* -1 (* (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) (* -1 (/ (+ (* -1 (+ (* 1/9 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (* 1/9 (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))) (* 1/81 (/ 1 x))) x)))) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (+ 1 (* 1/9 (/ 1 x)))))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (pow x 2) (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) |
(* (pow x 2) (+ (* -1 (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)) (* 1/9 (/ 1 x)))) |
(* -1 (/ (- 1/9 x) x)) |
(+ (* -1 (/ (- 1/9 x) x)) (* -1/3 (* (sqrt (/ 1 x)) y))) |
(- 1/9 x) |
(- (+ 1/9 (* 1/3 (* (sqrt x) y))) x) |
(- x 1/9) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
(/ 1/9 x) |
1/9 |
(* (+ 1/9 x) (- x 1/9)) |
(+ (* y (+ (* -1/3 (* (sqrt x) (+ 1/9 x))) (* 1/3 (* (sqrt x) (- x 1/9))))) (* (+ 1/9 x) (- x 1/9))) |
(+ (* y (+ (* -1/3 (* (sqrt x) (+ 1/9 x))) (+ (* -1/9 (* x y)) (* 1/3 (* (sqrt x) (- x 1/9)))))) (* (+ 1/9 x) (- x 1/9))) |
(+ 1/9 x) |
(* 1/3 y) |
(* x (+ 1/9 x)) |
(+ (* 1/3 (* (sqrt (pow x 3)) y)) (* x (+ 1/9 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) (* -1/3 (sqrt (/ 1 x))))) |
(* y (- (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))) (/ x y))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt x) y)) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 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)))) |
(* -1/9 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/3 (* (sqrt x) (/ (+ 1/9 x) y))) (+ (* -1/9 x) (* 1/3 (* (sqrt x) (/ (- x 1/9) y)))))) |
(* (pow y 2) (+ (* -1/3 (* (sqrt x) (/ (+ 1/9 x) y))) (+ (* -1/9 x) (+ (* 1/3 (* (sqrt x) (/ (- x 1/9) y))) (/ (* (+ 1/9 x) (- x 1/9)) (pow y 2)))))) |
(* y (+ (* 1/3 (sqrt x)) (+ (* 1/9 (/ 1 y)) (/ x y)))) |
(* 1/3 (* (sqrt (pow x 3)) y)) |
(* y (+ (* 1/3 (sqrt (pow x 3))) (/ (* x (+ 1/9 x)) y))) |
(* -1 (* y (- (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))) (/ 1 y)))) |
(* -1 (* y (+ (* -1 (/ (- 1/9 x) y)) (* -1/3 (sqrt 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 (/ 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)))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1/3 (* (sqrt x) (- x 1/9))) (* 1/3 (* (sqrt x) (+ 1/9 x)))) y)) (* -1/9 x))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (* (+ 1/9 x) (- x 1/9)) y)) (+ (* -1/3 (* (sqrt x) (- x 1/9))) (* 1/3 (* (sqrt x) (+ 1/9 x))))) y)) (* -1/9 x))) |
(* -1 (* y (+ (* -1 (/ (+ 1/9 x) y)) (* -1/3 (sqrt x))))) |
(* -1 (* y (+ (* -1 (/ (* x (+ 1/9 x)) y)) (* -1/3 (sqrt (pow x 3)))))) |
| Outputs |
|---|
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #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) |
(+ 1/9 (* 1/3 (* (sqrt x) y))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
(+ 1/9 (+ (* -1 x) (* 1/3 (* (sqrt x) y)))) |
(+.f64 (-.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) |
(/ (- 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 (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(neg.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)))) |
(-.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))) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) |
(/ (- (* -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 (-.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) 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) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- x 1/9) x) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(* -1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)) |
(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))) |
(+ (* -1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)) (* x (+ 1/9 (+ (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) (* 1/3 (* (sqrt x) y)))))) |
(fma.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (neg.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) #s(literal 1/9 binary64)) x (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)))) |
(+ (* -1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)) (* x (+ 1/9 (+ x (+ (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) (* 1/3 (* (sqrt x) y))))))) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/9 binary64) x) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (neg.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))))) x (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)))) |
(+ 1/9 (+ x (* 1/3 (* (sqrt x) y)))) |
(+.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) x) #s(literal 1/9 binary64)) |
(* -1 (sqrt (/ 1 x))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* 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 (+ 1/9 (+ x (* 1/3 (* (sqrt x) y))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) x) #s(literal 1/9 binary64)) x) |
(* -1 (- (* 1/3 (* (sqrt (/ 1 x)) y)) 1)) |
(neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y #s(literal -1 binary64))) |
(- (* -1 (- (* 1/3 (* (sqrt (/ 1 x)) y)) 1)) (* 1/9 (/ 1 x))) |
(-.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y #s(literal -1 binary64))) (/.f64 #s(literal 1/9 binary64) x)) |
(* x (- (* 1/3 (* (sqrt (/ 1 x)) y)) 1)) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y #s(literal -1 binary64)) x) |
(* x (- (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) 1)) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64) #s(literal 1 binary64)) x) |
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) x) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y) |
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y (/.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)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y (/.f64 #s(literal 1/9 binary64) x)) x) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(* (pow x 2) (* (+ 1 (* 1/3 (* (sqrt (/ 1 x)) y))) (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -1/9 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 x)) y))) x)) (+ (* 1/9 (/ (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) x)) (* (+ 1 (* 1/3 (* (sqrt (/ 1 x)) y))) (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y #s(literal 1 binary64)) x) #s(literal -1/9 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64) #s(literal 1 binary64)) x) #s(literal 1/9 binary64) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y #s(literal 1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (*.f64 x x)) |
(* (pow x 2) (- (+ (* -1/9 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 x)) y))) x)) (+ (* 1/9 (/ (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) x)) (* (+ 1 (* 1/3 (* (sqrt (/ 1 x)) y))) (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))))) (/ 1/81 (pow x 2)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y #s(literal 1 binary64)) x) #s(literal -1/9 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64) #s(literal 1 binary64)) x) #s(literal 1/9 binary64) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y #s(literal 1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (*.f64 x x)) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) x) |
(* (pow x 2) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 x x)) |
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* -1 (* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal 1 binary64))) |
(* -1 (* x (- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal 1 binary64)))) |
(- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64)) |
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) (neg.f64 (/.f64 #s(literal 1/9 binary64) x)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))) |
(* -1 (* (pow x 2) (* (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))) |
(neg.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal -1 binary64)))) |
(* (pow x 2) (+ (* -1 (* (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) (+ (* 1/9 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) x)) (* 1/9 (/ (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1) x))))) |
(*.f64 (fma.f64 #s(literal 1/9 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal 1 binary64))))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (* (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) (* -1 (/ (+ (* -1 (+ (* 1/9 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (* 1/9 (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))) (* 1/81 (/ 1 x))) x)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) x)) x))) (*.f64 x x)) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (+ 1 (* 1/9 (/ 1 x)))))) |
(*.f64 (neg.f64 x) (-.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 x))) |
(* -1 (* (pow x 2) (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal -1 binary64)) (*.f64 x x))) |
(* (pow x 2) (+ (* -1 (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)) (* 1/9 (/ 1 x)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 x x)) |
(* -1 (/ (- 1/9 x) x)) |
(neg.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) x)) |
(+ (* -1 (/ (- 1/9 x) x)) (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) x))) |
(- 1/9 x) |
(-.f64 #s(literal 1/9 binary64) x) |
(- (+ 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) |
(-.f64 x #s(literal 1/9 binary64)) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
(-.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) x) #s(literal 1/9 binary64)) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
1/9 |
#s(literal 1/9 binary64) |
(* (+ 1/9 x) (- x 1/9)) |
(*.f64 (+.f64 #s(literal 1/9 binary64) x) (-.f64 x #s(literal 1/9 binary64))) |
(+ (* y (+ (* -1/3 (* (sqrt x) (+ 1/9 x))) (* 1/3 (* (sqrt x) (- x 1/9))))) (* (+ 1/9 x) (- x 1/9))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (-.f64 x #s(literal 1/9 binary64)))) y (*.f64 (+.f64 #s(literal 1/9 binary64) x) (-.f64 x #s(literal 1/9 binary64)))) |
(+ (* y (+ (* -1/3 (* (sqrt x) (+ 1/9 x))) (+ (* -1/9 (* x y)) (* 1/3 (* (sqrt x) (- x 1/9)))))) (* (+ 1/9 x) (- x 1/9))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1/9 binary64) x) (fma.f64 (*.f64 #s(literal -1/9 binary64) x) y (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (-.f64 x #s(literal 1/9 binary64))))) y (*.f64 (+.f64 #s(literal 1/9 binary64) x) (-.f64 x #s(literal 1/9 binary64)))) |
(+ 1/9 x) |
(+.f64 #s(literal 1/9 binary64) x) |
(* 1/3 y) |
(*.f64 #s(literal 1/3 binary64) y) |
(* x (+ 1/9 x)) |
(*.f64 (+.f64 #s(literal 1/9 binary64) x) x) |
(+ (* 1/3 (* (sqrt (pow x 3)) y)) (* x (+ 1/9 x))) |
(fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)) y (*.f64 (+.f64 #s(literal 1/9 binary64) x) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64)) |
(* y (+ (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) (* -1/3 (sqrt (/ 1 x))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y))) y) |
(* y (- (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))) (/ x y))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1/9 binary64) x) y)) y) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/9 binary64) x) y))) y) |
(* -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 x y) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) y))) y) |
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/9 binary64) x) y)) y) |
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) y)) y) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y)) y) |
(* -1/9 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/9 binary64)) |
(* (pow y 2) (+ (* -1/3 (* (sqrt x) (/ (+ 1/9 x) y))) (+ (* -1/9 x) (* 1/3 (* (sqrt x) (/ (- x 1/9) y)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 (+.f64 #s(literal 1/9 binary64) x) y) (fma.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/9 binary64)) y) (sqrt.f64 x)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) x))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1/3 (* (sqrt x) (/ (+ 1/9 x) y))) (+ (* -1/9 x) (+ (* 1/3 (* (sqrt x) (/ (- x 1/9) y))) (/ (* (+ 1/9 x) (- x 1/9)) (pow y 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 (+.f64 #s(literal 1/9 binary64) x) y) (fma.f64 #s(literal -1/9 binary64) x (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) y) (/.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) x) (-.f64 x #s(literal 1/9 binary64))) (*.f64 y y))))) (*.f64 y y)) |
(* y (+ (* 1/3 (sqrt x)) (+ (* 1/9 (/ 1 y)) (/ x y)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/9 binary64) x) y)) y) |
(* 1/3 (* (sqrt (pow x 3)) y)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)) y) |
(* y (+ (* 1/3 (sqrt (pow x 3))) (/ (* x (+ 1/9 x)) y))) |
(*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1/9 binary64) x) y))) y) |
(* -1 (* y (- (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))) (/ 1 y)))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) y)) |
(* -1 (* y (+ (* -1 (/ (- 1/9 x) y)) (* -1/3 (sqrt x))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) y))) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y))) y)) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1/9 binary64)) y) #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) y)) |
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) y))) y)) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) y)) y)) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y))) y)) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1/3 (* (sqrt x) (- x 1/9))) (* 1/3 (* (sqrt x) (+ 1/9 x)))) y)) (* -1/9 x))) |
(*.f64 (fma.f64 #s(literal -1/9 binary64) x (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (-.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1/9 binary64) x))) y))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (* (+ 1/9 x) (- x 1/9)) y)) (+ (* -1/3 (* (sqrt x) (- x 1/9))) (* 1/3 (* (sqrt x) (+ 1/9 x))))) y)) (* -1/9 x))) |
(*.f64 (fma.f64 #s(literal -1/9 binary64) x (neg.f64 (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) x) (/.f64 (-.f64 x #s(literal 1/9 binary64)) y)) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (-.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1/9 binary64) x)))) y))) (*.f64 y y)) |
(* -1 (* y (+ (* -1 (/ (+ 1/9 x) y)) (* -1/3 (sqrt x))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) x) y))) y)) |
(* -1 (* y (+ (* -1 (/ (* x (+ 1/9 x)) y)) (* -1/3 (sqrt (pow x 3)))))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64) (neg.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1/9 binary64) x) y)))) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 338 |
| 0 | 66 | 322 |
| 1 | 282 | 252 |
| 2 | 2506 | 248 |
| 0 | 8166 | 245 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (-.f64 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 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x))) |
(-.f64 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 #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)) |
(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)) |
(/.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 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) 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 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x))) |
(*.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 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #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))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) y) |
(*.f64 (sqrt.f64 x) y) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
(*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 x (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) #s(literal -1 binary64)) |
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(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(literal 3 binary64)) (fma.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) (/.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x))) (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) (/.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x)))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x) (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))) (/.f64 (*.f64 (neg.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x) (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))) (/.f64 (neg.f64 (pow.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(+.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(neg.f64 (pow.f64 x #s(literal -1/2 binary64))) |
(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 #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) y) |
(pow.f64 (/.f64 #s(literal 3 binary64) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64)) |
(/.f64 (neg.f64 y) #s(literal -3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) y))) |
(/.f64 y #s(literal 3 binary64)) |
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -3 binary64))) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (fma.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #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 y #s(literal 1/3 binary64)) #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 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x #s(literal -1/81 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #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 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #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 y #s(literal 1/3 binary64)) #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 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #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 y #s(literal 1/3 binary64)) #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 y #s(literal 1/3 binary64)) #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 y #s(literal 1/3 binary64)) #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 y #s(literal 1/3 binary64)) #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 y #s(literal 1/3 binary64)) #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 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x #s(literal -1/81 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #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 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x #s(literal -1/81 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #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 y #s(literal 1/3 binary64)) (sqrt.f64 x) #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) 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 y (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (sqrt.f64 x) (*.f64 y #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)) |
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #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 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) y)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/3 binary64))) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)))) |
(-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64))))) (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #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 1/729 binary64) (fma.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #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 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) |
(*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x) |
(*.f64 x (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.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)) x)) (neg.f64 (-.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) (pow.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 (+.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)))) (neg.f64 (-.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) (pow.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (+.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)) x) (-.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) #s(literal 3 binary64))) x) (fma.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) (pow.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (*.f64 (+.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))) (-.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) (pow.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) |
(fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x (*.f64 x x)) |
(fma.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (*.f64 x x)) |
(fma.f64 x x (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) |
(+.f64 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) |
Compiled 48 511 to 3 207 computations (93.4% saved)
21 alts after pruning (13 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 833 | 7 | 840 |
| Fresh | 2 | 6 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 4 | 5 |
| Total | 837 | 21 | 858 |
| Status | Accuracy | Program |
|---|---|---|
| 64.8% | (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) | |
| 72.6% | (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) | |
| ✓ | 64.8% | (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
| ✓ | 64.7% | (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))) |
| ✓ | 99.7% | (-.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)))) |
| 64.7% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))) | |
| ✓ | 64.8% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 39.1% | #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) | |
| 62.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) | |
| ✓ | 62.4% | #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)) |
| ✓ | 48.0% | #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 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x))) |
| 44.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (*.f64 (+.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)) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 (-.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x)))) | |
| 42.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) (*.f64 x x))) | |
| ✓ | 35.0% | #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)) |
| 62.4% | #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)))))) | |
| 46.8% | #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)))) | |
| ✓ | 62.4% | #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))) |
| 95.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (neg.f64 (-.f64 x (fma.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x))) | |
| 62.4% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 #s(approx (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (-.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal -1 binary64) x))) | |
| 39.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (* (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (/ -1 x)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64)))) | |
| 68.6% | #s(approx (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
Compiled 1 693 to 641 computations (62.1% 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)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 #s(approx (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (-.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal -1 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 (/.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)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) y) (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 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (* (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (/ -1 x)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) |
#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 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1/9 x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/.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)))) (neg.f64 (/.f64 (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) (/.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)) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.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 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.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))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (neg.f64 (-.f64 x (fma.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (neg.f64 (*.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 #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)))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (*.f64 (+.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)) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 (-.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x)))) |
(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 y #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))) (/.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 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))) |
(-.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 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
(-.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)))) |
#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 (+.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) x))) |
(/.f64 (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 -1/9 binary64) x) #s(literal -1 binary64)) (*.f64 y #s(literal 1/3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (sqrt.f64 x))) |
| Outputs |
|---|
(-.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)))) |
3 calls:
| 23.0ms | (-.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)))) |
| 11.0ms | x |
| 11.0ms | y |
| 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)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 #s(approx (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (-.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal -1 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 (/.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)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) y) (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 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (* (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (/ -1 x)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) |
#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 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1/9 x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/.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)))) (neg.f64 (/.f64 (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) (/.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)) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.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 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.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))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (neg.f64 (-.f64 x (fma.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (neg.f64 (*.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 #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)))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (*.f64 (+.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)) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 (-.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x)))) |
(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 y #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))) (/.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 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))) |
(-.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)))) |
| 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:
| 21.0ms | (-.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)))) |
| 10.0ms | x |
| 10.0ms | y |
| 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)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 #s(approx (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (-.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal -1 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 (/.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)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) y) (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 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (* (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (/ -1 x)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) |
#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 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1/9 x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/.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)))) (neg.f64 (/.f64 (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) (/.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)) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.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 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.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))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (neg.f64 (-.f64 x (fma.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (neg.f64 (*.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 #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)))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (*.f64 (+.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)) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 (-.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x)))) |
(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 y #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(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))))) |
3 calls:
| 14.0ms | (-.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)))) |
| 14.0ms | x |
| 9.0ms | 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)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 #s(approx (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (-.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal -1 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 (/.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)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) y) (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 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (* (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (/ -1 x)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) |
#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 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1/9 x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/.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)))) (neg.f64 (/.f64 (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) (/.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)) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.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 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.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))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (neg.f64 (-.f64 x (fma.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (neg.f64 (*.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 #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)))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (*.f64 (+.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)) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 (-.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x)))) |
| Outputs |
|---|
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
3 calls:
| 13.0ms | (-.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)))) |
| 9.0ms | y |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 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)))) |
| 99.6% | 1 | y |
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)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 #s(approx (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (-.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal -1 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 (/.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)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) y) (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 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (* (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (/ -1 x)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) |
#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 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1/9 x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/.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)))) (neg.f64 (/.f64 (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) (/.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)) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.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))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
3 calls:
| 11.0ms | y |
| 7.0ms | 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 |
|---|---|---|
| 99.6% | 2 | x |
| 98.1% | 2 | y |
| 98.9% | 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)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 #s(approx (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (-.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal -1 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 (/.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)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) y) (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 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (* (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (/ -1 x)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) |
#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 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1/9 x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/.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)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x))) |
| Outputs |
|---|
#s(approx (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1/9 x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
2 calls:
| 8.0ms | x |
| 6.0ms | (-.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 |
|---|---|---|
| 97.4% | 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)))) |
| 98.8% | 2 | x |
Compiled 15 to 14 computations (6.7% 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)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 #s(approx (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (-.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal -1 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 (/.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)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) y) (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 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (* (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (/ -1 x)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1/3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) |
#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 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) |
| 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)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #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))) |
3 calls:
| 14.0ms | y |
| 5.0ms | x |
| 5.0ms | (-.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 |
|---|---|---|
| 84.8% | 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)))) |
| 97.0% | 3 | y |
| 79.2% | 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)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 #s(approx (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (-.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal -1 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 (/.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)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #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))) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 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)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 #s(approx (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (-.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal -1 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 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #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)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #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))) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 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)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 #s(approx (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (-.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal -1 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)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
#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:
| 3.0ms | (-.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)))) |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.4% | 1 | x |
| 65.0% | 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)))) |
| 65.0% | 2 | y |
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)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 #s(approx (neg (- x (+ (* 1/3 (* (sqrt x) y)) 1/9))) (-.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal -1 binary64) x))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
2 calls:
| 4.0ms | (-.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)))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.4% | 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)))) |
| 62.4% | 1 | y |
Compiled 15 to 14 computations (6.7% 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))) |
3 calls:
| 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)))) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.4% | 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)))) |
| 62.4% | 1 | x |
| 62.4% | 1 | y |
Compiled 16 to 16 computations (0% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 15454052703049116000.0 | 3.4514799221988964e+30 |
| 2.0ms | 32× | 0 | valid |
Compiled 101 to 91 computations (9.9% saved)
ival-div: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-sqrt: 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 |
|---|---|---|
| 20.0ms | 0.0003821818014292034 | 16128360.255713504 |
| 14.0ms | 160× | 0 | valid |
Compiled 397 to 357 computations (10.1% saved)
ival-sub: 4.0ms (40.2% of total)ival-div: 2.0ms (20.1% of total)ival-mult: 2.0ms (20.1% of total)ival-sqrt: 1.0ms (10% 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 |
|---|---|---|
| 19.0ms | 8.648841562298715e+26 | 5.919976849186058e+44 |
| 21.0ms | -3.369314724459396e+78 | -2.695432179627989e+60 |
| 21.0ms | 320× | 0 | valid |
Compiled 927 to 807 computations (12.9% saved)
ival-div: 4.0ms (28.5% of total)ival-mult: 4.0ms (28.5% of total)ival-sub: 3.0ms (21.4% of total)ival-sqrt: 2.0ms (14.3% 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 |
|---|---|---|
| 2.0ms | 8.648841562298715e+26 | 5.919976849186058e+44 |
| 2.0ms | -3.369314724459396e+78 | -2.695432179627989e+60 |
Compiled 917 to 797 computations (13.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 8.648841562298715e+26 | 5.919976849186058e+44 |
| 5.0ms | -3.369314724459396e+78 | -2.695432179627989e+60 |
Compiled 917 to 797 computations (13.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.8951199528748556e+149 | 7.149667604328231e+158 |
| 10.0ms | 144× | 0 | valid |
Compiled 584 to 476 computations (18.5% saved)
ival-div: 2.0ms (31.2% of total)ival-mult: 2.0ms (31.2% of total)ival-sub: 1.0ms (15.6% of total)ival-sqrt: 1.0ms (15.6% 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 | 87 | 471 |
| 1 | 113 | 471 |
| 2 | 163 | 471 |
| 3 | 238 | 471 |
| 4 | 359 | 471 |
| 5 | 592 | 471 |
| 6 | 787 | 471 |
| 7 | 974 | 471 |
| 8 | 1025 | 471 |
| 9 | 1066 | 471 |
| 10 | 1108 | 471 |
| 11 | 1141 | 471 |
| 12 | 1157 | 471 |
| 13 | 1158 | 471 |
| 1× | saturated |
| Inputs |
|---|
(-.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 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(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 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(if (<=.f64 x #s(literal 20000000000000000000 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))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1/9 x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) (-.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 -1050000000000000088154013639817748035082138237064099078630014976 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 64999999999999997811068662022740957101817856 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #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))))) |
(if (<=.f64 y #s(literal -1050000000000000088154013639817748035082138237064099078630014976 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 64999999999999997811068662022740957101817856 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #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))))) |
(if (<=.f64 y #s(literal -1050000000000000088154013639817748035082138237064099078630014976 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 64999999999999997811068662022740957101817856 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #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))))) |
(if (<=.f64 y #s(literal 13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) #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)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #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))) |
| Outputs |
|---|
(-.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 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(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 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(if (<=.f64 x #s(literal 20000000000000000000 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))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 20000000000000000000 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))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1/9 x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1/9 x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(if (<=.f64 y #s(literal -1050000000000000088154013639817748035082138237064099078630014976 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 64999999999999997811068662022740957101817856 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #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))))) |
(if (<=.f64 y #s(literal -1050000000000000088154013639817748035082138237064099078630014976 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (if (<=.f64 y #s(literal 64999999999999997811068662022740957101817856 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #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))))) |
(if (<=.f64 y #s(literal -1050000000000000088154013639817748035082138237064099078630014976 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 64999999999999997811068662022740957101817856 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #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))))) |
(if (<=.f64 y #s(literal -1050000000000000088154013639817748035082138237064099078630014976 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 64999999999999997811068662022740957101817856 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #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))))) |
(if (<=.f64 y #s(literal 13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) #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)))) (fma.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x) #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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 146 |
| 0 | 136 | 140 |
| 0 | 12 | 39 |
| 0 | 19 | 39 |
| 1 | 75 | 33 |
| 2 | 805 | 33 |
| 0 | 8489 | 32 |
| 0 | 106 | 505 |
| 0 | 316 | 479 |
| 0 | 44 | 311 |
| 0 | 65 | 284 |
| 1 | 299 | 276 |
| 2 | 2919 | 276 |
| 0 | 8862 | 271 |
| 0 | 40 | 183 |
| 0 | 63 | 184 |
| 1 | 291 | 154 |
| 2 | 3540 | 154 |
| 0 | 8133 | 153 |
| 0 | 43 | 338 |
| 0 | 66 | 322 |
| 1 | 282 | 252 |
| 2 | 2506 | 248 |
| 0 | 8166 | 245 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
Compiled 1 365 to 763 computations (44.1% saved)
Compiled 998 to 230 computations (77% saved)
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