
Time bar (total: 6.9s)
| 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)
| 650.0ms | 8 256× | 0 | valid |
ival-mult: 136.0ms (30.1% of total)ival-div: 125.0ms (27.7% of total)ival-sub: 97.0ms (21.5% of total)ival-sqrt: 74.0ms (16.4% of total)exact: 11.0ms (2.4% of total)ival-true: 6.0ms (1.3% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 9 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| 0 | 0 | - | 0 | - | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 9 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 47.0ms | 512× | 0 | valid |
Compiled 110 to 40 computations (63.6% saved)
ival-div: 15.0ms (49.2% of total)ival-mult: 6.0ms (19.7% of total)ival-sub: 4.0ms (13.1% of total)ival-sqrt: 4.0ms (13.1% of total)exact: 1.0ms (3.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 78 |
| 1 | 59 | 68 |
| 2 | 85 | 64 |
| 3 | 111 | 64 |
| 4 | 113 | 64 |
| 0 | 12 | 14 |
| 0 | 19 | 14 |
| 1 | 29 | 12 |
| 2 | 35 | 12 |
| 3 | 37 | 12 |
| 0 | 37 | 12 |
| 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)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 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 | 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)))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 46 |
| 0 | 19 | 46 |
| 1 | 29 | 40 |
| 2 | 35 | 40 |
| 3 | 37 | 40 |
| 0 | 37 | 40 |
| 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)))) |
(-.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 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 | 0.01953125 | (-.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 | 0.20703125 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.25390625 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.296875 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 20.0ms | 256× | 0 | valid |
Compiled 48 to 14 computations (70.8% saved)
ival-div: 3.0ms (27.4% of total)ival-mult: 3.0ms (27.4% of total)ival-sub: 2.0ms (18.3% of total)ival-sqrt: 2.0ms (18.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
(/ 1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(* 9 x) |
(* 3 (sqrt x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 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)))) |
| 1.0ms | 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)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 133 |
| 1 | 122 | 133 |
| 2 | 297 | 132 |
| 3 | 771 | 132 |
| 4 | 2139 | 132 |
| 5 | 5212 | 132 |
| 6 | 7638 | 132 |
| 0 | 8414 | 125 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(* 9 x) |
(* 3 (sqrt x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
| Outputs |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- x 1/9) x) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 39 |
| 0 | 19 | 39 |
| 1 | 64 | 33 |
| 2 | 560 | 33 |
| 0 | 8224 | 33 |
| 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 (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/9 binary64)) |
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 #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 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 9 binary64) x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 9 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) #s(literal -9 binary64)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 (fabs.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 9 binary64)) |
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) #s(literal 9 binary64)) |
(/.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 9 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -9 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 9 binary64)) |
(/.f64 #s(literal 1/9 binary64) (fabs.f64 x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x))) |
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x))) |
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(fabs.f64 (/.f64 #s(literal 1/9 binary64) x)) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) (sinh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))) |
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(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.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 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (*.f64 (neg.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (+.f64 (/.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 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (/.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 2 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.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 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #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 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (+.f64 (/.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 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (/.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 2 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.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 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #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 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 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 (/.f64 #s(literal 1/9 binary64) x) #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 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)))) (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 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 (/.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 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (+.f64 (/.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))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (+.f64 (/.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 2 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #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 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 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 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 #s(literal 9 binary64) x) |
(*.f64 x #s(literal 9 binary64)) |
(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)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (/.f64 y #s(literal 3 binary64))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(neg.f64 (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
Compiled 5 002 to 610 computations (87.8% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 136 | 12 | 148 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 136 | 13 | 149 |
| Status | Accuracy | Program |
|---|---|---|
| 72.0% | (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) | |
| ▶ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 99.5% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| ✓ | 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 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
| 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 70.1% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| ▶ | 67.7% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 67.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) | |
| ▶ | 64.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
| ▶ | 93.7% | #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)) |
| 39.2% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
Compiled 486 to 380 computations (21.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) | |
| cost-diff | 0 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) | |
| cost-diff | 0 | (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) y) | |
| 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 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) | |
| 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 | 0 | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| cost-diff | 0 | (pow.f64 x #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) | |
| cost-diff | 0 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| cost-diff | 2 | (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 238 |
| 0 | 60 | 244 |
| 1 | 95 | 224 |
| 2 | 144 | 224 |
| 3 | 283 | 224 |
| 4 | 532 | 224 |
| 5 | 767 | 224 |
| 6 | 879 | 224 |
| 7 | 910 | 224 |
| 8 | 938 | 224 |
| 9 | 1011 | 224 |
| 10 | 1084 | 224 |
| 11 | 1117 | 224 |
| 0 | 1117 | 224 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) |
#s(literal 1 binary64) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#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 (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)) |
#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 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) |
(-.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) (/.f64 #s(literal 1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
y |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.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 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
#s(literal 1 binary64) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#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)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 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 (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 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #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) |
(/.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 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 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 x #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 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 x #s(literal 1/9 binary64))) x) |
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 x #s(literal 1/9 binary64))) |
x |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
y |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(-.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 1/9 binary64) x)) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
y |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01953125 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) | |
| accuracy | 0.20703125 | (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| accuracy | 0.25390625 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 0.34375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.00390625 | (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) | |
| accuracy | 0.19921875 | (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) | |
| accuracy | 0.234375 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 4.003815744991954 | (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) | |
| accuracy | 0.19921875 | (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) | |
| accuracy | 0.234375 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 4.089753244991954 | (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x) | |
| accuracy | 18.931087616253688 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) | |
| accuracy | 0.01953125 | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| accuracy | 0.20703125 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.25390625 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 34.156498735498495 | #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| accuracy | 0.20703125 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.25390625 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.265625 | (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
| 106.0ms | 256× | 0 | valid |
Compiled 219 to 36 computations (83.6% saved)
ival-div: 25.0ms (29.6% of total)ival-add: 25.0ms (29.6% of total)const: 12.0ms (14.2% of total)ival-mult: 9.0ms (10.7% of total)ival-sub: 7.0ms (8.3% of total)ival-pow: 3.0ms (3.6% of total)ival-sqrt: 2.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (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 (sqrt.f64 x) y) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(-.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) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
| 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)) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(* (sqrt x) y) |
(/ (+ 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 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt x) y)) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(* 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)))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 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) (* 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))) |
(* 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 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
-1/9 |
(- x 1/9) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
1/9 |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 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 (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | ((/ (pow x -1) 9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (pow x -1) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) y) (- (- 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 (/ 1/9 x)) (/ y (* (sqrt x) 3))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ y (* (sqrt x) 3)) (* (sqrt x) 3)) |
| 3.0ms | x | @ | -inf | ((/ (pow x -1) 9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (pow x -1) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) y) (- (- 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 (/ 1/9 x)) (/ y (* (sqrt x) 3))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ y (* (sqrt x) 3)) (* (sqrt x) 3)) |
| 2.0ms | y | @ | -inf | ((/ (pow x -1) 9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (pow x -1) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) y) (- (- 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 (/ 1/9 x)) (/ y (* (sqrt x) 3))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ y (* (sqrt x) 3)) (* (sqrt x) 3)) |
| 2.0ms | y | @ | inf | ((/ (pow x -1) 9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (pow x -1) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) y) (- (- 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 (/ 1/9 x)) (/ y (* (sqrt x) 3))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ y (* (sqrt x) 3)) (* (sqrt x) 3)) |
| 2.0ms | y | @ | 0 | ((/ (pow x -1) 9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (pow x -1) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) y) (- (- 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 (/ 1/9 x)) (/ y (* (sqrt x) 3))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ y (* (sqrt x) 3)) (* (sqrt x) 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 517 |
| 1 | 328 | 511 |
| 2 | 1132 | 499 |
| 3 | 3896 | 499 |
| 4 | 7910 | 499 |
| 0 | 8127 | 459 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ 1 x) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 3 (sqrt x)) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(* (sqrt x) y) |
(/ (+ 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 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt x) y)) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(* 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)))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 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) (* 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))) |
(* 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 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
-1/9 |
(- x 1/9) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
1/9 |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 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 (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt 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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- x 1/9) x) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 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) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(/ (+ 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 (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) |
(- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(+ 1/9 (* 1/3 (* (sqrt x) y))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt x) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64)) |
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(fma.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64)) |
(* 1/3 (* (sqrt x) y)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) |
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 x (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(fma.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(fma.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64)) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(fma.f64 (*.f64 x (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
-1/9 |
#s(literal -1/9 binary64) |
(- x 1/9) |
(-.f64 x #s(literal 1/9 binary64)) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
1/9 |
#s(literal 1/9 binary64) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 x y)) y #s(literal -1/9 binary64)) |
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 x y)) y #s(literal -1/9 binary64)) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 191 |
| 0 | 60 | 197 |
| 1 | 252 | 177 |
| 2 | 1996 | 177 |
| 0 | 8170 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (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 (sqrt.f64 x) y) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(-.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) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
| 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 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (fabs.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64))) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 9 binary64) x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #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 binary64) x))) #s(literal -9 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 9 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) #s(literal -9 binary64)) |
(/.f64 (fabs.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 9 binary64)) |
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 9 binary64)) |
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (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 binary64) x)) #s(literal 9 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 9 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal 1/9 binary64) (fabs.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 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) (neg.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(sqrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) |
(fabs.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))) |
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(fabs.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(fabs.f64 (/.f64 #s(literal 1/9 binary64) x)) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 9 binary64)) (/.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 9 binary64))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) (sinh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) (*.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 9 binary64) x)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 9 binary64) x)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 9 binary64) x)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))) |
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(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -9 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 9 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) #s(literal -9 binary64)) |
(/.f64 (fabs.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 9 binary64)) |
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 9 binary64)) |
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (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 binary64) x)) #s(literal 9 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 9 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal 1/9 binary64) (fabs.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 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) (neg.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(sqrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) |
(fabs.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))) |
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(fabs.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(fabs.f64 (/.f64 #s(literal 1/9 binary64) x)) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 9 binary64)) (/.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 9 binary64))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) (sinh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 y (sqrt.f64 x)))) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))) |
(/.f64 (neg.f64 (/.f64 y #s(literal 3 binary64))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(neg.f64 (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
Compiled 15 835 to 1 585 computations (90% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 367 | 11 | 378 |
| Fresh | 6 | 1 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 376 | 15 | 391 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 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)))) |
| 67.7% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| ✓ | 67.7% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 67.6% | #s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) | |
| 34.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x (*.f64 x #s(literal -1/9 binary64))) (*.f64 x x))) | |
| ▶ | 64.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
| ✓ | 64.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
| 60.7% | #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)) | |
| 64.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) y)) x)) | |
| ▶ | 64.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
| 33.3% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) | |
| ▶ | 32.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
| 93.7% | #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))) | |
| ▶ | 39.2% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
Compiled 646 to 515 computations (20.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal -1/9 binary64) (*.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 (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) | |
| cost-diff | 1 | (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) 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 | 0 | (-.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 | 2 | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 250 |
| 0 | 59 | 244 |
| 1 | 91 | 230 |
| 2 | 148 | 230 |
| 3 | 258 | 230 |
| 4 | 424 | 230 |
| 5 | 589 | 230 |
| 6 | 680 | 230 |
| 7 | 741 | 230 |
| 8 | 775 | 230 |
| 9 | 810 | 230 |
| 10 | 850 | 230 |
| 11 | 857 | 230 |
| 0 | 857 | 230 |
| 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) |
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) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x) |
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) |
#s(literal -1/9 binary64) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1/3 binary64) y) |
#s(literal -1/3 binary64) |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) |
(*.f64 #s(literal -1/3 binary64) y) |
#s(literal -1/3 binary64) |
y |
(sqrt.f64 x) |
x |
#s(literal -1/9 binary64) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
(/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) x) |
(-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(literal -1/9 binary64) |
(*.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 |
| 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 y (*.f64 (sqrt.f64 x) #s(literal 3 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) |
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) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x) |
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) |
#s(literal -1/9 binary64) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y)) |
(*.f64 #s(literal -1/3 binary64) y) |
#s(literal -1/3 binary64) |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #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 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) |
(*.f64 #s(literal -1/3 binary64) y) |
#s(literal -1/3 binary64) |
y |
(sqrt.f64 x) |
x |
#s(literal -1/9 binary64) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) |
(/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) x) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x) |
(-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) |
#s(literal -1/9 binary64) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) |
#s(literal 1/3 binary64) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.234375 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 0.3515625 | (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) | |
| accuracy | 4.089753244991954 | (/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) x) | |
| accuracy | 18.931087616253688 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) | |
| accuracy | 0.16015625 | (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) | |
| accuracy | 0.27734375 | (*.f64 #s(literal -1/3 binary64) y) | |
| accuracy | 4.089753244991954 | (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x) | |
| accuracy | 18.931087616253688 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) | |
| accuracy | 0.0703125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.27734375 | (*.f64 #s(literal -1/3 binary64) y) | |
| accuracy | 0.29296875 | (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 38.771104200749974 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 4.089753244991954 | (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x) | |
| accuracy | 18.931087616253688 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) | |
| accuracy | 34.01173548683916 | #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) | |
| accuracy | 0.01953125 | (-.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 | 0.20703125 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.25390625 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.265625 | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
| 84.0ms | 256× | 0 | valid |
Compiled 207 to 34 computations (83.6% saved)
ival-sub: 14.0ms (26.7% of total)ival-div: 11.0ms (21% of total)ival-mult: 11.0ms (21% of total)const: 10.0ms (19.1% of total)ival-sqrt: 4.0ms (7.6% of total)ival-add: 2.0ms (3.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 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) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x) |
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1/3 binary64) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) |
(-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
(/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) x) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) y) |
| 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 x) y)) 1/9) x) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(sqrt (/ 1 x)) |
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(* 1/3 (* (sqrt x) y)) |
(* 3 (sqrt x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* (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))) |
(- (* -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 (* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 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))))) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
-1/9 |
(* -1/3 y) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(* -1 (* y (- (* 1/9 (/ 1 y)) (* -1/3 (sqrt x))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | 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)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (* -1/3 y) (sqrt (/ 1 x))) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* (* -1/3 y) (sqrt x)) -1/9) x) (+ (* (* -1/3 y) (sqrt x)) -1/9) (- -1/9 (* 1/3 (* (sqrt x) y))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- -1/9 (* 1/3 (* (sqrt x) y))) x) (* 1/3 (* (sqrt x) y)) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* (sqrt x) y)) |
| 5.0ms | 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)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (* -1/3 y) (sqrt (/ 1 x))) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* (* -1/3 y) (sqrt x)) -1/9) x) (+ (* (* -1/3 y) (sqrt x)) -1/9) (- -1/9 (* 1/3 (* (sqrt x) y))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- -1/9 (* 1/3 (* (sqrt x) y))) x) (* 1/3 (* (sqrt x) y)) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* (sqrt x) y)) |
| 3.0ms | 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)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (* -1/3 y) (sqrt (/ 1 x))) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* (* -1/3 y) (sqrt x)) -1/9) x) (+ (* (* -1/3 y) (sqrt x)) -1/9) (- -1/9 (* 1/3 (* (sqrt x) y))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- -1/9 (* 1/3 (* (sqrt x) y))) x) (* 1/3 (* (sqrt x) y)) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* (sqrt x) y)) |
| 3.0ms | 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)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (* -1/3 y) (sqrt (/ 1 x))) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* (* -1/3 y) (sqrt x)) -1/9) x) (+ (* (* -1/3 y) (sqrt x)) -1/9) (- -1/9 (* 1/3 (* (sqrt x) y))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- -1/9 (* 1/3 (* (sqrt x) y))) x) (* 1/3 (* (sqrt x) y)) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* (sqrt x) y)) |
| 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)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (* -1/3 y) (sqrt (/ 1 x))) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* (* -1/3 y) (sqrt x)) -1/9) x) (+ (* (* -1/3 y) (sqrt x)) -1/9) (- -1/9 (* 1/3 (* (sqrt x) y))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- -1/9 (* 1/3 (* (sqrt x) y))) x) (* 1/3 (* (sqrt x) y)) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* (sqrt x) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 353 |
| 1 | 257 | 348 |
| 2 | 873 | 339 |
| 3 | 2645 | 339 |
| 4 | 6085 | 339 |
| 0 | 8167 | 318 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ 1 x) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(sqrt (/ 1 x)) |
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(* 1/3 (* (sqrt x) y)) |
(* 3 (sqrt x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* (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))) |
(- (* -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 (* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 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))))) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
-1/9 |
(* -1/3 y) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(* -1 (* y (- (* 1/9 (/ 1 y)) (* -1/3 (sqrt x))))) |
| Outputs |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.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 #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) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* -1 (+ 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)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 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) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt x) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64)) |
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64)) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64)) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
-1/9 |
#s(literal -1/9 binary64) |
(* -1/3 y) |
(*.f64 #s(literal -1/3 binary64) y) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (* y (- (* 1/9 (/ 1 y)) (* -1/3 (sqrt x))))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 219 |
| 0 | 59 | 213 |
| 1 | 205 | 196 |
| 2 | 1149 | 194 |
| 0 | 8607 | 194 |
| 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) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x) |
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1/3 binary64) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) |
(-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
(/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) x) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) y) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/9 binary64)) |
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (*.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 #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 -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 9 binary64) x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) |
(/.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 #s(literal 1/9 binary64) (fabs.f64 x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.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) x)) |
(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 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.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 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #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)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #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 (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #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 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #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 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.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 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #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 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #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 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #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)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #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 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/9 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64))) (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) x))))) |
(/.f64 (neg.f64 (neg.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 3 binary64)) #s(literal 2 binary64)) x)))) (neg.f64 (+.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))) |
(/.f64 (neg.f64 (neg.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))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #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 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 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 3 binary64))))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -2 binary64))) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (neg.f64 y)))) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -2 binary64))) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) y))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)) (sqrt.f64 x))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -3 binary64))) (sqrt.f64 x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (/.f64 y #s(literal 3 binary64))))) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (neg.f64 y)))) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -3 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) y))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/9 binary64) x))) |
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y) (*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))) |
(-.f64 (/.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1/9 binary64))) x) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y) (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) x) (/.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) x)) |
(-.f64 (/.f64 #s(literal -1/9 binary64) x) (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) y) (/.f64 #s(literal -1/3 binary64) x))) |
(-.f64 (/.f64 #s(literal -1/9 binary64) x) (*.f64 (*.f64 #s(literal 1/3 binary64) y) (/.f64 (sqrt.f64 x) x))) |
(-.f64 (/.f64 #s(literal -1/9 binary64) x) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (*.f64 #s(literal -1/3 binary64) y) x))) |
(-.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) x)) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (*.f64 (/.f64 #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)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (*.f64 (/.f64 #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))))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) y) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 x x)) (/.f64 (*.f64 x #s(literal -1/9 binary64)) (*.f64 x x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 y (fma.f64 #s(literal -1/27 binary64) (sqrt.f64 x) (*.f64 y (*.f64 #s(literal 1/9 binary64) x))) #s(literal 1/81 binary64)) x)) (/.f64 #s(literal -1/729 binary64) (*.f64 (fma.f64 y (fma.f64 #s(literal -1/27 binary64) (sqrt.f64 x) (*.f64 y (*.f64 #s(literal 1/9 binary64) x))) #s(literal 1/81 binary64)) x))) |
(+.f64 (/.f64 #s(literal -1/729 binary64) (*.f64 (fma.f64 y (fma.f64 #s(literal -1/27 binary64) (sqrt.f64 x) (*.f64 y (*.f64 #s(literal 1/9 binary64) x))) #s(literal 1/81 binary64)) x)) (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 y (fma.f64 #s(literal -1/27 binary64) (sqrt.f64 x) (*.f64 y (*.f64 #s(literal 1/9 binary64) x))) #s(literal 1/81 binary64)) x))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (fma.f64 y (fma.f64 #s(literal -1/27 binary64) (sqrt.f64 x) (*.f64 y (*.f64 #s(literal 1/9 binary64) x))) #s(literal 1/81 binary64))) x) (/.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 y (fma.f64 #s(literal -1/27 binary64) (sqrt.f64 x) (*.f64 y (*.f64 #s(literal 1/9 binary64) x))) #s(literal 1/81 binary64))) x)) |
(+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal -1/9 binary64)) x)) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal -1/9 binary64)) x))) |
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) y) (/.f64 #s(literal 1/3 binary64) x))) |
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)) |
(+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) y) #s(literal -1/3 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 1/3 binary64) y))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal -1/3 binary64) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) |
(*.f64 (neg.f64 y) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (neg.f64 (sqrt.f64 x))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) y)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y)) |
(*.f64 y (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 3 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 (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))) |
(neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64)) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (/.f64 y #s(literal -3 binary64)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(neg.f64 (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
Compiled 13 335 to 1 507 computations (88.7% saved)
18 alts after pruning (11 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 407 | 5 | 412 |
| Fresh | 1 | 6 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 409 | 18 | 427 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 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)))) |
| ▶ | 67.7% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
| ✓ | 67.7% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ▶ | 67.6% | #s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
| 64.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x))) | |
| 60.9% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 x) (/.f64 (*.f64 #s(literal -1/3 binary64) y) x) (/.f64 #s(literal -1/9 binary64) x))) | |
| 34.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x (*.f64 x #s(literal -1/9 binary64))) (*.f64 x x))) | |
| ✓ | 64.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
| ✓ | 64.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
| ▶ | 60.7% | #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)) |
| 64.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)) x)) | |
| ▶ | 39.2% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
| 33.3% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) | |
| ✓ | 32.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
| ▶ | 93.7% | #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))) |
| 39.2% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) | |
| ✓ | 39.2% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
Compiled 698 to 554 computations (20.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y (sqrt.f64 x)) | |
| cost-diff | 0 | (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) y) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 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 | (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))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 254 |
| 0 | 62 | 250 |
| 1 | 97 | 238 |
| 2 | 151 | 238 |
| 3 | 253 | 238 |
| 4 | 454 | 238 |
| 5 | 745 | 238 |
| 6 | 882 | 238 |
| 7 | 913 | 238 |
| 8 | 927 | 238 |
| 9 | 961 | 238 |
| 10 | 1011 | 238 |
| 11 | 1024 | 238 |
| 12 | 1024 | 238 |
| 0 | 1024 | 238 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#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 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 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)) |
(*.f64 #s(literal -1/3 binary64) y) |
#s(literal -1/3 binary64) |
y |
(sqrt.f64 x) |
x |
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/3 binary64) y) |
#s(literal -1/3 binary64) |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
| 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))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (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 #s(literal 1 binary64) (/.f64 (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 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 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) |
(*.f64 #s(literal -1/3 binary64) y) |
#s(literal -1/3 binary64) |
y |
(sqrt.f64 x) |
x |
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/3 binary64) y) |
#s(literal -1/3 binary64) |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(/.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01953125 | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| accuracy | 0.1875 | (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) | |
| accuracy | 0.1953125 | (/.f64 y (sqrt.f64 x)) | |
| accuracy | 34.156498735498495 | #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) | |
| accuracy | 0.0703125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.16015625 | (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) | |
| accuracy | 0.27734375 | (*.f64 #s(literal -1/3 binary64) y) | |
| accuracy | 20.55009882157876 | #s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.24609375 | (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)) | |
| accuracy | 0.27734375 | (*.f64 #s(literal -1/3 binary64) y) | |
| accuracy | 38.771104200749974 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) | |
| accuracy | 0.0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) | |
| accuracy | 0.00390625 | (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) | |
| accuracy | 4.003815744991954 | (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x) | |
| accuracy | 34.01173548683916 | #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) | |
| accuracy | 0.00390625 | (-.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 | 0.19921875 | (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) | |
| accuracy | 0.234375 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 4.089753244991954 | (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) |
| 88.0ms | 256× | 0 | valid |
Compiled 206 to 40 computations (80.6% saved)
ival-div: 14.0ms (26.6% of total)ival-mult: 11.0ms (20.9% of total)const: 10.0ms (19% of total)ival-sub: 8.0ms (15.2% of total)ival-sqrt: 4.0ms (7.6% of total)ival-add: 3.0ms (5.7% of total)ival-pow: 3.0ms (5.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (- 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)) |
#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 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)) |
(*.f64 #s(literal -1/3 binary64) y) |
(sqrt.f64 x) |
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
| Outputs |
|---|
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x) |
(+ 1/9 (* 1/3 (* (sqrt x) y))) |
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x) |
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(sqrt x) |
(/ (+ x (* -1/3 (* (sqrt x) y))) x) |
(sqrt (/ 1 x)) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt x) y) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(* 1/3 (* (sqrt x) y)) |
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
1 |
(- 1 (* 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)))) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(/ 1/9 x) |
1/9 |
(- x 1/9) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
(* -1/3 y) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(* -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 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((- (- 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) (- (- 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)))) (/ (* -1/3 y) (sqrt x)) (* -1/3 y) (sqrt x) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (+ (* (* -1/3 y) (sqrt (/ 1 x))) 1) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (* (sqrt x) y)) |
| 2.0ms | y | @ | -inf | ((- (- 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) (- (- 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)))) (/ (* -1/3 y) (sqrt x)) (* -1/3 y) (sqrt x) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (+ (* (* -1/3 y) (sqrt (/ 1 x))) 1) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (* (sqrt x) y)) |
| 2.0ms | y | @ | inf | ((- (- 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) (- (- 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)))) (/ (* -1/3 y) (sqrt x)) (* -1/3 y) (sqrt x) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (+ (* (* -1/3 y) (sqrt (/ 1 x))) 1) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (* (sqrt x) y)) |
| 2.0ms | x | @ | 0 | ((- (- 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) (- (- 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)))) (/ (* -1/3 y) (sqrt x)) (* -1/3 y) (sqrt x) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (+ (* (* -1/3 y) (sqrt (/ 1 x))) 1) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (* (sqrt x) y)) |
| 2.0ms | y | @ | 0 | ((- (- 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) (- (- 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)))) (/ (* -1/3 y) (sqrt x)) (* -1/3 y) (sqrt x) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (+ (* (* -1/3 y) (sqrt (/ 1 x))) 1) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (* (sqrt x) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 552 |
| 1 | 326 | 538 |
| 2 | 1032 | 529 |
| 3 | 3405 | 529 |
| 4 | 7572 | 529 |
| 0 | 8016 | 487 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x) |
(+ 1/9 (* 1/3 (* (sqrt x) y))) |
(/ (+ 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)))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(sqrt x) |
(/ (+ x (* -1/3 (* (sqrt x) y))) x) |
(sqrt (/ 1 x)) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt x) y) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(* 1/3 (* (sqrt x) y)) |
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
1 |
(- 1 (* 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)))) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(/ 1/9 x) |
1/9 |
(- x 1/9) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
(* -1/3 y) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(* -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 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y)))) |
| Outputs |
|---|
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x) #s(literal -1 binary64)) |
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) |
(+ 1/9 (* 1/3 (* (sqrt x) y))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x) |
(-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x) #s(literal -1 binary64)) |
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) |
(- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt x) |
(sqrt.f64 x) |
(/ (+ x (* -1/3 (* (sqrt x) y))) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) x) x) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 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) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) |
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/9 binary64) x)) |
(* 1/3 (* (sqrt x) y)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) |
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(fma.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64)) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/9 binary64) x)) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) |
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(fma.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
1/9 |
#s(literal 1/9 binary64) |
(- x 1/9) |
(-.f64 x #s(literal 1/9 binary64)) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 y) |
(*.f64 #s(literal -1/3 binary64) y) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) |
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) |
(* -1/3 (* (sqrt x) y)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 x y)) y #s(literal -1/9 binary64)) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) |
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/9 binary64) x)) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 x y)) y #s(literal -1/9 binary64)) |
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 226 |
| 0 | 62 | 222 |
| 1 | 262 | 207 |
| 2 | 1708 | 207 |
| 0 | 8091 | 207 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)) |
#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 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)) |
(*.f64 #s(literal -1/3 binary64) y) |
(sqrt.f64 x) |
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) x))) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) x)) (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 2 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 2 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 2 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) x)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) x)) (/.f64 #s(literal 1/9 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 2 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 2 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 2 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 2 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #s(literal 1 binary64))))))) |
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(/.f64 (-.f64 (pow.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 y (sqrt.f64 x)) (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) (+.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))))) |
(-.f64 (/.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)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 y (sqrt.f64 x)) (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)))) (/.f64 (/.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 y (sqrt.f64 x)) (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x))))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(+.f64 (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 (*.f64 (neg.f64 (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) (+.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))))) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))) |
(/.f64 (neg.f64 (/.f64 y #s(literal 3 binary64))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -3 binary64)) |
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(neg.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64))) |
(neg.f64 (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x))) |
(/.f64 y (sqrt.f64 x)) |
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
Compiled 16 283 to 1 544 computations (90.5% saved)
19 alts after pruning (10 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 352 | 5 | 357 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 2 | 5 | 7 |
| Total | 356 | 19 | 375 |
| 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)))) |
| ✓ | 67.7% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
| ✓ | 67.7% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ✓ | 67.6% | #s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
| 64.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x))) | |
| 60.9% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 x) (/.f64 (*.f64 #s(literal -1/3 binary64) y) x) (/.f64 #s(literal -1/9 binary64) x))) | |
| ✓ | 64.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
| ✓ | 64.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
| 29.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) (*.f64 x x))) | |
| ✓ | 60.7% | #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)) |
| 64.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)) x)) | |
| 44.1% | #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))) | |
| ✓ | 39.2% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
| 33.3% | #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)) | |
| 33.3% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) | |
| ✓ | 32.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
| 60.7% | #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))) | |
| 39.2% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) | |
| 39.2% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
Compiled 1 319 to 539 computations (59.1% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) (*.f64 x 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))) (/ 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 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.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 -1/9 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)) 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)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) y)) 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)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 x) (/.f64 (*.f64 #s(literal -1/3 binary64) y) x) (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x (*.f64 x #s(literal -1/9 binary64))) (*.f64 x x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) 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)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
| 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:
| 12.0ms | (-.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 |
|---|---|---|
| 99.7% | 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)))) |
| 99.7% | 1 | x |
| 99.7% | 1 | y |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) (*.f64 x 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))) (/ 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 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.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 -1/9 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)) 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)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) y)) 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)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 x) (/.f64 (*.f64 #s(literal -1/3 binary64) y) x) (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x (*.f64 x #s(literal -1/9 binary64))) (*.f64 x x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) 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)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
3 calls:
| 9.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 8.0ms | x |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 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)))) |
| 99.7% | 1 | x |
| 99.7% | 1 | y |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) (*.f64 x 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))) (/ 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 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.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 -1/9 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)) 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)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) y)) 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)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 x) (/.f64 (*.f64 #s(literal -1/3 binary64) y) x) (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x (*.f64 x #s(literal -1/9 binary64))) (*.f64 x x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) 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)))) |
| 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:
| 8.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 7.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 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)))) |
| 99.7% | 1 | x |
| 99.7% | 1 | y |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) (*.f64 x 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))) (/ 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 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.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 -1/9 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)) 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)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) y)) 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)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 x) (/.f64 (*.f64 #s(literal -1/3 binary64) y) x) (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x (*.f64 x #s(literal -1/9 binary64))) (*.f64 x x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x))) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
3 calls:
| 7.0ms | 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% | 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 | 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(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) (*.f64 x 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))) (/ 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 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.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 -1/9 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)) 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)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) y)) 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)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 x) (/.f64 (*.f64 #s(literal -1/3 binary64) y) x) (/.f64 #s(literal -1/9 binary64) 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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
3 calls:
| 6.0ms | y |
| 6.0ms | 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 |
|---|---|---|
| 98.2% | 2 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 99.6% | 2 | x |
| 99.7% | 3 | y |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) (*.f64 x 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))) (/ 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 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.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 -1/9 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)) 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)) |
| 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)))) |
1 calls:
| 31.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) (*.f64 x 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))) (/ 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 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.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 -1/9 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)) x)) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) (*.f64 x 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))) (/ 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 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) (*.f64 x 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))) (/ 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 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
| Outputs |
|---|
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
3 calls:
| 5.0ms | y |
| 4.0ms | x |
| 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)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.8% | 3 | y |
| 83.1% | 5 | (-.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)))) |
| 79.5% | 2 | x |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
| 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 | y |
| 1.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.7% | 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)))) |
| 60.7% | 1 | x |
| 60.7% | 1 | y |
Compiled 16 to 16 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
3 calls:
| 1.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.0% | 1 | x |
| 32.0% | 1 | y |
| 32.0% | 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)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 5.735944608630315e+29 | 1.9272955627728924e+33 |
| 10.0ms | 128× | 0 | valid |
Compiled 353 to 313 computations (11.3% saved)
ival-div: 2.0ms (35.9% of total)ival-mult: 2.0ms (35.9% of total)ival-sub: 1.0ms (17.9% of total)ival-sqrt: 1.0ms (17.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 5.735944608630315e+29 | 1.9272955627728924e+33 |
| 2.0ms | 32× | 0 | valid |
Compiled 353 to 313 computations (11.3% 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 |
|---|---|---|
| 16.0ms | 1.4660946444766779e-8 | 0.00011153430604484506 |
| 11.0ms | 128× | 0 | valid |
Compiled 345 to 305 computations (11.6% saved)
ival-div: 2.0ms (36.1% of total)ival-mult: 2.0ms (36.1% of total)ival-sub: 1.0ms (18% of total)ival-sqrt: 1.0ms (18% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.4660946444766779e-8 | 0.00011153430604484506 |
Compiled 337 to 297 computations (11.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 6480111678.235907 | 26870151936036.813 |
| 18.0ms | -1.9728673958163393e+67 | -7.13455877100454e+61 |
| 18.0ms | 272× | 0 | valid |
Compiled 782 to 680 computations (13% saved)
ival-div: 3.0ms (25.8% of total)ival-mult: 3.0ms (25.8% of total)ival-sub: 2.0ms (17.2% of total)ival-sqrt: 2.0ms (17.2% 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 |
|---|---|---|
| 15.0ms | 5.222240642690034e+52 | 1.0410087156476262e+58 |
| 16.0ms | -2.535850530816516e+124 | -3.643536924039402e+121 |
| 20.0ms | 272× | 0 | valid |
Compiled 867 to 731 computations (15.7% saved)
ival-div: 4.0ms (33.8% of total)ival-mult: 3.0ms (25.4% of total)ival-sub: 2.0ms (16.9% of total)ival-sqrt: 2.0ms (16.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.222240642690034e+52 | 1.0410087156476262e+58 |
| 1.0ms | -2.535850530816516e+124 | -3.643536924039402e+121 |
Compiled 867 to 731 computations (15.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 463 |
| 1 | 144 | 463 |
| 2 | 240 | 463 |
| 3 | 370 | 463 |
| 4 | 479 | 463 |
| 5 | 585 | 463 |
| 6 | 786 | 463 |
| 7 | 803 | 463 |
| 8 | 812 | 463 |
| 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 (/.f64 y (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 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(if (<=.f64 x #s(literal 649999999999999970703759638528 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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) |
(if (<=.f64 x #s(literal 609999999999999981167373713408 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 8116567392432203/73786976294838206464 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) 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 8116567392432203/73786976294838206464 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) (-.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 -239999999999999999270894012945443576537562558239179508602109952 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 26500000000000 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(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))) |
(if (<=.f64 y #s(literal -37000000000000001266939617844898016381214075526515388369974353059984562611605097305754725669833927332192948753059826106368 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) (if (<=.f64 y #s(literal 10200000000000000458291345205943223728140067627070180556800 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 y (sqrt.f64 x)) #s(literal -1/3 binary64))))) |
(if (<=.f64 y #s(literal -37000000000000001266939617844898016381214075526515388369974353059984562611605097305754725669833927332192948753059826106368 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 10200000000000000458291345205943223728140067627070180556800 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 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -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 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 y (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) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(if (<=.f64 x #s(literal 649999999999999970703759638528 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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) |
(if (<=.f64 x #s(literal 609999999999999981167373713408 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 8116567392432203/73786976294838206464 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) 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 8116567392432203/73786976294838206464 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) (-.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 -239999999999999999270894012945443576537562558239179508602109952 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 26500000000000 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(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))) |
(if (or (<=.f64 y #s(literal -239999999999999999270894012945443576537562558239179508602109952 binary64)) (not (<=.f64 y #s(literal 26500000000000 binary64)))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))) |
(if (<=.f64 y #s(literal -37000000000000001266939617844898016381214075526515388369974353059984562611605097305754725669833927332192948753059826106368 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) (if (<=.f64 y #s(literal 10200000000000000458291345205943223728140067627070180556800 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 y (sqrt.f64 x)) #s(literal -1/3 binary64))))) |
(if (or (<=.f64 y #s(literal -37000000000000001266939617844898016381214075526515388369974353059984562611605097305754725669833927332192948753059826106368 binary64)) (not (<=.f64 y #s(literal 10200000000000000458291345205943223728140067627070180556800 binary64)))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))) |
(if (<=.f64 y #s(literal -37000000000000001266939617844898016381214075526515388369974353059984562611605097305754725669833927332192948753059826106368 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 10200000000000000458291345205943223728140067627070180556800 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 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))))) |
(if (or (<=.f64 y #s(literal -37000000000000001266939617844898016381214075526515388369974353059984562611605097305754725669833927332192948753059826106368 binary64)) (not (<=.f64 y #s(literal 10200000000000000458291345205943223728140067627070180556800 binary64)))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 191 |
| 0 | 60 | 197 |
| 1 | 252 | 177 |
| 2 | 1996 | 177 |
| 0 | 8170 | 177 |
| 0 | 40 | 219 |
| 0 | 59 | 213 |
| 1 | 205 | 196 |
| 2 | 1149 | 194 |
| 0 | 8607 | 194 |
| 0 | 44 | 226 |
| 0 | 62 | 222 |
| 1 | 262 | 207 |
| 2 | 1708 | 207 |
| 0 | 8091 | 207 |
| 0 | 12 | 39 |
| 0 | 19 | 39 |
| 1 | 64 | 33 |
| 2 | 560 | 33 |
| 0 | 8224 | 33 |
| 0 | 116 | 517 |
| 1 | 328 | 511 |
| 2 | 1132 | 499 |
| 3 | 3896 | 499 |
| 4 | 7910 | 499 |
| 0 | 8127 | 459 |
| 0 | 55 | 133 |
| 1 | 122 | 133 |
| 2 | 297 | 132 |
| 3 | 771 | 132 |
| 4 | 2139 | 132 |
| 5 | 5212 | 132 |
| 6 | 7638 | 132 |
| 0 | 8414 | 125 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 123 to 600 computations (46.6% saved)
Compiled 982 to 248 computations (74.7% saved)
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