
Time bar (total: 5.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 66.7% | 50% | 25% | 0.1% | 0% | 25% | 0% | 4 |
| 66.7% | 50% | 25% | 0.1% | 0% | 25% | 0% | 5 |
| 80% | 50% | 12.5% | 0.1% | 0% | 37.5% | 0% | 6 |
| 80% | 50% | 12.5% | 0.1% | 0% | 37.5% | 0% | 7 |
| 88.9% | 50% | 6.2% | 0.1% | 0% | 43.7% | 0% | 8 |
| 88.9% | 50% | 6.2% | 0.1% | 0% | 43.7% | 0% | 9 |
| 94.1% | 50% | 3.1% | 0.1% | 0% | 46.8% | 0% | 10 |
| 94.1% | 50% | 3.1% | 0.1% | 0% | 46.8% | 0% | 11 |
| 97% | 50% | 1.6% | 0.1% | 0% | 48.4% | 0% | 12 |
Compiled 16 to 14 computations (12.5% saved)
| 1.0s | 8 256× | 0 | valid |
| 19.0ms | 258× | 0 | invalid |
ival-mult: 370.0ms (53.6% of total)ival-div: 130.0ms (18.8% of total)ival-sqrt: 69.0ms (10% of total)ival-sub: 51.0ms (7.4% of total)ival-add: 46.0ms (6.7% of total)exact: 12.0ms (1.7% of total)ival-true: 6.0ms (0.9% of total)adjust: 3.0ms (0.4% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 9 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 9 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 72.0ms | 512× | 0 | valid |
Compiled 116 to 40 computations (65.5% saved)
ival-mult: 39.0ms (74.4% of total)ival-div: 4.0ms (7.6% of total)ival-sqrt: 4.0ms (7.6% of total)ival-add: 2.0ms (3.8% of total)ival-sub: 2.0ms (3.8% of total)exact: 1.0ms (1.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 78 |
| 1 | 71 | 66 |
| 2 | 198 | 64 |
| 3 | 649 | 64 |
| 4 | 1965 | 62 |
| 0 | 12 | 14 |
| 0 | 19 | 14 |
| 1 | 31 | 12 |
| 2 | 59 | 12 |
| 3 | 142 | 12 |
| 4 | 433 | 12 |
| 5 | 2069 | 12 |
| 6 | 6987 | 12 |
| 0 | 8044 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) y) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
Compiled 14 to 12 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 14 to 12 computations (14.3% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 49 |
| 0 | 19 | 49 |
| 1 | 31 | 41 |
| 2 | 59 | 41 |
| 3 | 142 | 41 |
| 4 | 433 | 41 |
| 5 | 2069 | 41 |
| 6 | 6987 | 41 |
| 0 | 8044 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 9 binary64)) |
#s(literal 9 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) y) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) | |
| accuracy | 0.23828125 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| accuracy | 0.2578125 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.48388179354596283 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 23.0ms | 256× | 0 | valid |
Compiled 51 to 14 computations (72.5% saved)
ival-mult: 4.0ms (35.1% of total)ival-div: 2.0ms (17.5% of total)ival-sqrt: 2.0ms (17.5% of total)ival-add: 1.0ms (8.8% of total)ival-sub: 1.0ms (8.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| Outputs |
|---|
(/ 1/9 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (sqrt x)) |
(sqrt x) |
(/ (+ 1/9 (* x y)) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 2.0ms | x | @ | 0 | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1.0ms | x | @ | inf | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1.0ms | y | @ | 0 | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1.0ms | y | @ | -inf | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 185 |
| 1 | 220 | 180 |
| 2 | 785 | 176 |
| 0 | 3237 | 170 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/9 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (sqrt x)) |
(sqrt x) |
(/ (+ 1/9 (* x y)) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
| Outputs |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
(/ (+ 1/9 (* x y)) x) |
(-.f64 y (/.f64 #s(literal -1/9 binary64) x)) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(-.f64 y (/.f64 #s(literal -1/9 binary64) x)) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) y y)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) y y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 32 |
| 0 | 19 | 32 |
| 1 | 63 | 26 |
| 0 | 481 | 26 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (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 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -9 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 1 binary64))) |
(/.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 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 9 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal 3 binary64) (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(+.f64 (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 y (/.f64 #s(literal 1/9 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) y) |
(fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64)) y) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64) y) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))) (/.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) y) (*.f64 y y)))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
Compiled 1 262 to 276 computations (78.1% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 50 | 16 | 66 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 50 | 17 | 67 |
| Status | Accuracy | Program |
|---|---|---|
| 99.4% | (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) | |
| 58.2% | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) | |
| 99.4% | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| 99.3% | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| ▶ | 99.4% | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
| 99.1% | (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64))) | |
| ▶ | 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64))) |
| ✓ | 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| ▶ | 87.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y)) #s(literal 1 binary64))) |
| 68.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) | |
| ▶ | 66.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) |
| 61.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| 60.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| ▶ | 39.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| 86.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) y y))) | |
| 38.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
Compiled 684 to 544 computations (20.5% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y)) #s(literal 1 binary64))) | |
| cost-diff | 3 | (fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y) | |
| cost-diff | 0 | (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) | |
| cost-diff | 0 | (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| cost-diff | 1 | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64))) | |
| cost-diff | 2 | (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 326 |
| 0 | 78 | 333 |
| 1 | 128 | 305 |
| 2 | 234 | 305 |
| 3 | 479 | 305 |
| 4 | 1207 | 296 |
| 5 | 6598 | 296 |
| 0 | 8359 | 291 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) |
(+.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) |
y |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(literal 9 binary64) |
#s(literal 1 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
#s(literal 3 binary64) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y)) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y)) #s(literal 1 binary64)) |
#s(approx (+ y (/ 1 (* x 9))) (fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y)) |
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y) |
(/.f64 y x) |
y |
(/.f64 #s(literal 1/9 binary64) y) |
#s(literal 1/9 binary64) |
#s(literal 1 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(+.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(/.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)) |
#s(literal -1 binary64) |
#s(literal 9 binary64) |
#s(literal 1 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
y |
#s(literal 3 binary64) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(approx (+ y (/ 1 (* x 9))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)) |
#s(approx (+ y (/ 1 (* x 9))) (fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y)) |
#s(approx (+ y (/ 1 (* x 9))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 y x) |
y |
(/.f64 #s(literal 1/9 binary64) y) |
#s(literal 1/9 binary64) |
#s(literal 1 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(sqrt.f64 (/.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)) |
x |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(sqrt.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 1/3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.30682647950844644 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.9436830025851226 | (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) | |
| accuracy | 13.784931462238971 | (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) | |
| accuracy | 17.455995517882467 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0.23828125 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y)) #s(literal 1 binary64))) | |
| accuracy | 0.2578125 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.359375 | (/.f64 #s(literal 1/9 binary64) y) | |
| accuracy | 11.850795467815 | (fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y) | |
| accuracy | 0.00390625 | (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) | |
| accuracy | 0.1875 | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) | |
| accuracy | 0.3046875 | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.31640625 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.21484375 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 0.23828125 | (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) | |
| accuracy | 38.58120907001916 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) | |
| accuracy | 0.00390625 | (+.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) | |
| accuracy | 0.23828125 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64))) | |
| accuracy | 0.2578125 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.26171875 | (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
| 139.0ms | 217× | 0 | valid |
| 29.0ms | 23× | 1 | valid |
| 13.0ms | 16× | 2 | valid |
Compiled 276 to 44 computations (84.1% saved)
ival-mult: 51.0ms (45.1% of total)ival-div: 23.0ms (20.3% of total)const: 8.0ms (7.1% of total)adjust: 7.0ms (6.2% of total)ival-sqrt: 6.0ms (5.3% of total)ival-pow: 6.0ms (5.3% of total)ival-add: 6.0ms (5.3% of total)ival-sub: 5.0ms (4.4% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y)) #s(literal 1 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
(+.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
| Outputs |
|---|
(/ 1/9 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (sqrt x)) |
(sqrt x) |
(* 3 (* (sqrt x) y)) |
(* (sqrt x) y) |
(/ 1/3 x) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x y)) x) |
(* 1/3 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) (pow x 2)) |
(sqrt (/ 1 (pow x 3))) |
(/ 1 (pow x 3)) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* 3 (- y 1)) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* 3 (* (sqrt (/ 1 x)) (- y 1))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (- (* 1/9 (/ 1 x)) 1)) |
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1))) |
(- (* 1/9 (/ 1 x)) 1) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
-3 |
(- (* 3 y) 3) |
(/ 1/9 y) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 y) |
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | x | @ | inf | ((/ (pow x -1) 9) (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (* 3 (sqrt x)) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (* (- (+ y (/ 1/9 x)) 1) 3) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (+ (* (/ y x) (/ 1/9 y)) y) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (* (- y 1) 3) (+ y (/ (pow x -1) 9)) (/ 1/9 x) (/ 1/9 y) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3))) |
| 5.0ms | y | @ | -inf | ((/ (pow x -1) 9) (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (* 3 (sqrt x)) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (* (- (+ y (/ 1/9 x)) 1) 3) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (+ (* (/ y x) (/ 1/9 y)) y) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (* (- y 1) 3) (+ y (/ (pow x -1) 9)) (/ 1/9 x) (/ 1/9 y) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3))) |
| 4.0ms | x | @ | 0 | ((/ (pow x -1) 9) (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (* 3 (sqrt x)) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (* (- (+ y (/ 1/9 x)) 1) 3) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (+ (* (/ y x) (/ 1/9 y)) y) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (* (- y 1) 3) (+ y (/ (pow x -1) 9)) (/ 1/9 x) (/ 1/9 y) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3))) |
| 4.0ms | x | @ | -inf | ((/ (pow x -1) 9) (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (* 3 (sqrt x)) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (* (- (+ y (/ 1/9 x)) 1) 3) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (+ (* (/ y x) (/ 1/9 y)) y) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (* (- y 1) 3) (+ y (/ (pow x -1) 9)) (/ 1/9 x) (/ 1/9 y) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3))) |
| 3.0ms | y | @ | 0 | ((/ (pow x -1) 9) (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (* 3 (sqrt x)) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (* (- (+ y (/ 1/9 x)) 1) 3) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (+ (* (/ y x) (/ 1/9 y)) y) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (* (- y 1) 3) (+ y (/ (pow x -1) 9)) (/ 1/9 x) (/ 1/9 y) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 694 |
| 1 | 487 | 654 |
| 2 | 1953 | 625 |
| 0 | 6578 | 589 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/9 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (sqrt x)) |
(sqrt x) |
(* 3 (* (sqrt x) y)) |
(* (sqrt x) y) |
(/ 1/3 x) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x y)) x) |
(* 1/3 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) (pow x 2)) |
(sqrt (/ 1 (pow x 3))) |
(/ 1 (pow x 3)) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* 3 (- y 1)) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* 3 (* (sqrt (/ 1 x)) (- y 1))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (- (* 1/9 (/ 1 x)) 1)) |
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1))) |
(- (* 1/9 (/ 1 x)) 1) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
-3 |
(- (* 3 y) 3) |
(/ 1/9 y) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 y) |
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
| Outputs |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(/ (+ 1/9 (* x (- y 1))) x) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(/ (+ 1/9 (* x y)) x) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* 1/3 (sqrt (/ 1 (pow x 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64)) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(* 3 (- y 1)) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* 3 (* (sqrt (/ 1 x)) (- y 1))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(* 3 (- (* 1/9 (/ 1 x)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(- (* 1/9 (/ 1 x)) 1) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) |
(fma.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) |
-3 |
#s(literal -3 binary64) |
(- (* 3 y) 3) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(/ 1/9 y) |
(/.f64 #s(literal 1/9 binary64) y) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) y y)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) y y) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) y (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal -3 binary64) y) #s(literal -3 binary64)) y) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) y y)) |
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) y (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(*.f64 (-.f64 (/.f64 #s(literal -3 binary64) y) #s(literal -3 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 222 |
| 0 | 78 | 218 |
| 1 | 287 | 193 |
| 0 | 1928 | 190 |
| 1× | iter limit |
| 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 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y)) #s(literal 1 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
(+.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.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)) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x))) |
(neg.f64 (/.f64 #s(literal 1/9 binary64) (neg.f64 x))) |
(neg.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -9 binary64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 9 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(+.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(*.f64 (*.f64 y #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))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) |
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(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.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)) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x))) |
(neg.f64 (/.f64 #s(literal 1/9 binary64) (neg.f64 x))) |
(neg.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -9 binary64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 9 binary64) x)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 y)) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal 1/9 binary64) y) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) y)) |
(neg.f64 (/.f64 #s(literal 1/9 binary64) (neg.f64 y))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64))) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 x #s(literal -3/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(sqrt.f64 (pow.f64 x #s(literal -3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (*.f64 x x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) |
(pow.f64 x #s(literal -3 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) |
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -3 binary64))) |
Compiled 8 205 to 1 164 computations (85.8% saved)
25 alts after pruning (22 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 272 | 18 | 290 |
| Fresh | 7 | 4 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 282 | 25 | 307 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
| 58.2% | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) | |
| 99.4% | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| 99.3% | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 61.3% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64))) | |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) | |
| ✓ | 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| ✓ | 87.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y)) #s(literal 1 binary64))) |
| 99.4% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) | |
| 60.6% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) | |
| ▶ | 38.6% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
| 39.6% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) | |
| 61.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) | |
| 38.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| 55.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/9 binary64))) x) (fma.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -3/2 binary64)))))) | |
| 78.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -3/2 binary64)))) x)) | |
| 78.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) x)) | |
| ▶ | 78.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) x)) |
| 78.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/3 binary64))) x)) | |
| ✓ | 39.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| ▶ | 39.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
| ▶ | 55.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
| 34.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) | |
| 2.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) |
Compiled 1 178 to 929 computations (21.1% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) x) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) x)) | |
| cost-diff | 1 | (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) x) | |
| cost-diff | 0 | #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 y (sqrt.f64 x)) | |
| cost-diff | 2 | (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| cost-diff | 3 | (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 345 |
| 0 | 80 | 344 |
| 1 | 130 | 334 |
| 2 | 264 | 334 |
| 3 | 558 | 334 |
| 4 | 1228 | 320 |
| 5 | 5105 | 320 |
| 0 | 8297 | 317 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(*.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
y |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
(*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
#s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
#s(literal 3 binary64) |
y |
#s(literal -3 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 x #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
y |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
y |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
(*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
#s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
#s(literal 3 binary64) |
y |
#s(literal -3 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 x #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
#s(literal 1/3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15625 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.26953125 | (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) | |
| accuracy | 0.9436830025851226 | (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) | |
| accuracy | 13.784931462238971 | (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) x) | |
| accuracy | 0.15625 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.30697250976844204 | (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 13.784931462238971 | (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) | |
| accuracy | 24.063150527682573 | #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.3046875 | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) | |
| accuracy | 0.34375 | (/.f64 #s(literal 1/3 binary64) x) | |
| accuracy | 38.95904237723606 | #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.2265625 | (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) | |
| accuracy | 0.2578125 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 38.58120907001916 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) | |
| accuracy | 0.21484375 | (*.f64 y (sqrt.f64 x)) | |
| accuracy | 0.22103500976844204 | (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| accuracy | 0.2578125 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 0.31640625 | (/.f64 #s(literal 1/9 binary64) x) |
| 81.0ms | 217× | 0 | valid |
| 18.0ms | 23× | 1 | valid |
| 15.0ms | 16× | 2 | valid |
Compiled 267 to 49 computations (81.6% saved)
ival-mult: 31.0ms (34.8% of total)ival-pow: 12.0ms (13.5% of total)ival-div: 9.0ms (10.1% of total)ival-add: 9.0ms (10.1% of total)adjust: 8.0ms (9% of total)const: 7.0ms (7.9% of total)ival-sqrt: 6.0ms (6.7% of total)ival-sub: 5.0ms (5.6% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
(*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
#s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(* (sqrt x) y) |
(sqrt x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) y)) |
(* 3 (sqrt x)) |
(/ 1/3 x) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
(* 1/3 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) (pow x 2)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(/ 1/9 x) |
(sqrt (/ 1 x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* -3 (sqrt x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* 3 (- y 1)) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(* 3 (* (sqrt (/ 1 x)) (- y 1))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (- (* 1/9 (/ 1 x)) 1)) |
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* -3 (sqrt (/ 1 x))) |
(+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) |
-3 |
(- (* 3 y) 3) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 y) |
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (* (- (/ 1/9 x) 1) (* (sqrt x) 3)) (* y (sqrt x)) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (/ 1/3 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (* (+ (* 3 y) -3) (sqrt (/ 1 x))) (* (- y 1) 3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (pow x -3/2) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (pow x -3/2) 1/3)) (/ 1/9 x) (sqrt (/ 1 x)) (* (pow x -3/2) 1/3)) |
| 3.0ms | x | @ | 0 | ((+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (* (- (/ 1/9 x) 1) (* (sqrt x) 3)) (* y (sqrt x)) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (/ 1/3 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (* (+ (* 3 y) -3) (sqrt (/ 1 x))) (* (- y 1) 3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (pow x -3/2) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (pow x -3/2) 1/3)) (/ 1/9 x) (sqrt (/ 1 x)) (* (pow x -3/2) 1/3)) |
| 3.0ms | x | @ | inf | ((+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (* (- (/ 1/9 x) 1) (* (sqrt x) 3)) (* y (sqrt x)) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (/ 1/3 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (* (+ (* 3 y) -3) (sqrt (/ 1 x))) (* (- y 1) 3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (pow x -3/2) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (pow x -3/2) 1/3)) (/ 1/9 x) (sqrt (/ 1 x)) (* (pow x -3/2) 1/3)) |
| 2.0ms | y | @ | -inf | ((+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (* (- (/ 1/9 x) 1) (* (sqrt x) 3)) (* y (sqrt x)) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (/ 1/3 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (* (+ (* 3 y) -3) (sqrt (/ 1 x))) (* (- y 1) 3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (pow x -3/2) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (pow x -3/2) 1/3)) (/ 1/9 x) (sqrt (/ 1 x)) (* (pow x -3/2) 1/3)) |
| 2.0ms | y | @ | 0 | ((+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (* (- (/ 1/9 x) 1) (* (sqrt x) 3)) (* y (sqrt x)) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (/ 1/3 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (* (+ (* 3 y) -3) (sqrt (/ 1 x))) (* (- y 1) 3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (pow x -3/2) 1/3)) x) (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (pow x -3/2) 1/3)) (/ 1/9 x) (sqrt (/ 1 x)) (* (pow x -3/2) 1/3)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 832 |
| 1 | 549 | 767 |
| 2 | 2460 | 728 |
| 0 | 6994 | 675 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(* (sqrt x) y) |
(sqrt x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) y)) |
(* 3 (sqrt x)) |
(/ 1/3 x) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
(* 1/3 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) (pow x 2)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(/ 1/9 x) |
(sqrt (/ 1 x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* -3 (sqrt x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* 3 (- y 1)) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(* 3 (* (sqrt (/ 1 x)) (- y 1))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (- (* 1/9 (/ 1 x)) 1)) |
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* -3 (sqrt (/ 1 x))) |
(+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) |
-3 |
(- (* 3 y) 3) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 y) |
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(sqrt x) |
(sqrt.f64 x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* 1/3 (sqrt (/ 1 (pow x 3)))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x) |
(* -3 (sqrt x)) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x) |
(* 3 (- y 1)) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* 3 (* (sqrt (/ 1 x)) (- y 1))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)))) x) |
(* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) |
(* 3 (- (* 1/9 (/ 1 x)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) |
(fma.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(* -3 (sqrt (/ 1 x))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
-3 |
#s(literal -3 binary64) |
(- (* 3 y) 3) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) y y)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal -3 binary64) y) #s(literal -3 binary64)) y) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) y y)) |
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3))) |
(*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(*.f64 (-.f64 (/.f64 #s(literal -3 binary64) y) #s(literal -3 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 291 |
| 0 | 80 | 285 |
| 1 | 279 | 258 |
| 0 | 2164 | 252 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
(*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
#s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) |
(*.f64 #s(literal 3 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) y))) |
(*.f64 #s(literal 3 binary64) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) |
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(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -3/4 binary64))) |
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -3/2 binary64))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) |
Compiled 8 516 to 961 computations (88.7% saved)
29 alts after pruning (24 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 257 | 13 | 270 |
| Fresh | 6 | 11 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 266 | 29 | 295 |
| Status | Accuracy | Program |
|---|---|---|
| 60.6% | (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) #s(approx (* (- (/ 1/9 x) 1) (* (sqrt x) 3)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) | |
| 72.6% | (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) | |
| 58.2% | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) | |
| ▶ | 99.4% | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| 99.3% | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| ▶ | 61.3% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64))) | |
| ✓ | 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| ✓ | 87.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y)) #s(literal 1 binary64))) |
| 99.4% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) | |
| 60.6% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) | |
| ✓ | 38.6% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
| ▶ | 39.6% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
| 99.4% | (*.f64 #s(literal 3 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) y))) | |
| ▶ | 99.5% | #s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) |
| 38.7% | #s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| 61.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) | |
| 78.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) x)) | |
| 78.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) x)) | |
| ▶ | 78.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) x)) |
| 78.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(approx (* (- y 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) x)) | |
| ✓ | 39.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| ✓ | 39.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
| 38.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)))) x)) | |
| 55.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))) x)) | |
| 55.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) x)) | |
| 34.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) | |
| 23.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) #s(approx (* (+ (* 3 y) -3) (sqrt (/ 1 x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) | |
| 2.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) |
Compiled 1 511 to 1 138 computations (24.7% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) x) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) x)) | |
| cost-diff | 1 | (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) x) | |
| cost-diff | 0 | (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) | |
| cost-diff | 0 | (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) | |
| cost-diff | 1 | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) | |
| cost-diff | 0 | #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) | |
| cost-diff | 2 | (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 293 |
| 0 | 82 | 293 |
| 1 | 127 | 286 |
| 2 | 257 | 280 |
| 3 | 531 | 280 |
| 4 | 1174 | 273 |
| 5 | 3748 | 273 |
| 0 | 8206 | 273 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
#s(literal 3 binary64) |
y |
#s(literal -3 binary64) |
(sqrt.f64 x) |
x |
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
#s(literal 1/3 binary64) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(sqrt.f64 x) |
x |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) |
#s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 x #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
| Outputs |
|---|
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) y) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)) |
(*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) y) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
#s(literal 3 binary64) |
y |
#s(literal -3 binary64) |
(sqrt.f64 x) |
x |
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
#s(literal 1/3 binary64) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(sqrt.f64 x) |
x |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) |
#s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) y) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) x)) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 x #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15625 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.7058298944071599 | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) | |
| accuracy | 0.9436830025851226 | (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) | |
| accuracy | 13.784931462238971 | (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) x) | |
| accuracy | 0.00390625 | (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) | |
| accuracy | 0.23828125 | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| accuracy | 0.2578125 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 0.31640625 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.1875 | (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) | |
| accuracy | 0.3046875 | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.31640625 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 24.498710673702917 | #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.3046875 | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) | |
| accuracy | 38.6789314928389 | #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) | |
| accuracy | 0.0 | #s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) | |
| accuracy | 0.16796875 | (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)) | |
| accuracy | 0.28125 | (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) | |
| accuracy | 0.34375 | (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
| 97.0ms | 217× | 0 | valid |
| 24.0ms | 23× | 1 | valid |
| 15.0ms | 16× | 2 | valid |
Compiled 242 to 45 computations (81.4% saved)
ival-mult: 26.0ms (31.4% of total)ival-sub: 13.0ms (15.7% of total)ival-div: 9.0ms (10.9% of total)ival-add: 8.0ms (9.7% of total)adjust: 7.0ms (8.5% of total)const: 7.0ms (8.5% of total)ival-pow: 7.0ms (8.5% of total)ival-sqrt: 5.0ms (6% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(sqrt.f64 x) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) |
#s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(sqrt x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ 1/3 x) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* -1 x)) x) |
(/ (+ 1/9 (* x y)) x) |
(* 1/3 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) (pow x 2)) |
(* 1/3 (sqrt x)) |
(* 3 (sqrt x)) |
(sqrt (/ 1 x)) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* 3 (- y 1)) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
-1 |
(- (* 1/9 (/ 1 x)) 1) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* 3 (* (sqrt (/ 1 x)) (- y 1))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) |
(+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/3 (sqrt (/ 1 (pow x 3)))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
-3 |
(- (* 3 y) 3) |
(* 3 (- (* 1/9 (/ 1 x)) 1)) |
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1))) |
(* 3 y) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((+ (* (+ (* 3 y) -3) (sqrt x)) (/ (* 1/3 (sqrt x)) x)) (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (+ (* 3 y) -3) (sqrt x) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (* 3 y) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (- (+ y (/ 1/9 x)) 1) (- (/ 1/9 x) 1) (* (- (+ y (/ 1/9 x)) 1) (* (sqrt x) 3)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1/9 x) (* (- y 1) 3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) x) (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) (* 1/3 (sqrt x)) (/ (* 1/3 (sqrt x)) x) (* (sqrt x) 3) (/ 1/3 (pow x 3/2)) (sqrt (/ 1 x))) |
| 3.0ms | x | @ | 0 | ((+ (* (+ (* 3 y) -3) (sqrt x)) (/ (* 1/3 (sqrt x)) x)) (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (+ (* 3 y) -3) (sqrt x) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (* 3 y) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (- (+ y (/ 1/9 x)) 1) (- (/ 1/9 x) 1) (* (- (+ y (/ 1/9 x)) 1) (* (sqrt x) 3)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1/9 x) (* (- y 1) 3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) x) (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) (* 1/3 (sqrt x)) (/ (* 1/3 (sqrt x)) x) (* (sqrt x) 3) (/ 1/3 (pow x 3/2)) (sqrt (/ 1 x))) |
| 3.0ms | x | @ | inf | ((+ (* (+ (* 3 y) -3) (sqrt x)) (/ (* 1/3 (sqrt x)) x)) (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (+ (* 3 y) -3) (sqrt x) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (* 3 y) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (- (+ y (/ 1/9 x)) 1) (- (/ 1/9 x) 1) (* (- (+ y (/ 1/9 x)) 1) (* (sqrt x) 3)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1/9 x) (* (- y 1) 3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) x) (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) (* 1/3 (sqrt x)) (/ (* 1/3 (sqrt x)) x) (* (sqrt x) 3) (/ 1/3 (pow x 3/2)) (sqrt (/ 1 x))) |
| 2.0ms | y | @ | -inf | ((+ (* (+ (* 3 y) -3) (sqrt x)) (/ (* 1/3 (sqrt x)) x)) (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (+ (* 3 y) -3) (sqrt x) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (* 3 y) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (- (+ y (/ 1/9 x)) 1) (- (/ 1/9 x) 1) (* (- (+ y (/ 1/9 x)) 1) (* (sqrt x) 3)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1/9 x) (* (- y 1) 3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) x) (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) (* 1/3 (sqrt x)) (/ (* 1/3 (sqrt x)) x) (* (sqrt x) 3) (/ 1/3 (pow x 3/2)) (sqrt (/ 1 x))) |
| 2.0ms | y | @ | inf | ((+ (* (+ (* 3 y) -3) (sqrt x)) (/ (* 1/3 (sqrt x)) x)) (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (+ (* 3 y) -3) (sqrt x) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (* 3 y) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (- (+ y (/ 1/9 x)) 1) (- (/ 1/9 x) 1) (* (- (+ y (/ 1/9 x)) 1) (* (sqrt x) 3)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1/9 x) (* (- y 1) 3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) x) (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) (* 1/3 (sqrt x)) (/ (* 1/3 (sqrt x)) x) (* (sqrt x) 3) (/ 1/3 (pow x 3/2)) (sqrt (/ 1 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 199 | 965 |
| 1 | 673 | 900 |
| 2 | 2822 | 862 |
| 0 | 8237 | 796 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(sqrt x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ 1/3 x) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* -1 x)) x) |
(/ (+ 1/9 (* x y)) x) |
(* 1/3 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) (pow x 2)) |
(* 1/3 (sqrt x)) |
(* 3 (sqrt x)) |
(sqrt (/ 1 x)) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* 3 (- y 1)) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
-1 |
(- (* 1/9 (/ 1 x)) 1) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* 3 (* (sqrt (/ 1 x)) (- y 1))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) |
(+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/3 (sqrt (/ 1 (pow x 3)))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
-3 |
(- (* 3 y) 3) |
(* 3 (- (* 1/9 (/ 1 x)) 1)) |
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1))) |
(* 3 y) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(sqrt x) |
(sqrt.f64 x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(/ (+ 1/9 (* -1 x)) x) |
(/.f64 (-.f64 #s(literal 1/9 binary64) x) x) |
(/ (+ 1/9 (* x y)) x) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* 1/3 (sqrt (/ 1 (pow x 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64)) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(* 1/3 (sqrt x)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* 3 (- y 1)) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/9 (/ 1 x)) 1) |
(/.f64 (-.f64 #s(literal 1/9 binary64) x) x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* 3 (* (sqrt (/ 1 x)) (- y 1))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x) |
(* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))) |
(fma.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -1/3 (sqrt (/ 1 (pow x 3)))) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
-3 |
#s(literal -3 binary64) |
(- (* 3 y) 3) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(* 3 (- (* 1/9 (/ 1 x)) 1)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) x) #s(literal 3 binary64)) |
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) x) y) y y)) |
(* y (- 3 (* 3 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) y)) y) |
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) x) y) y y)) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) x) y) y y) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(*.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 x y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) y) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) y (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) x) y) y y)) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) y)) y) |
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3))) |
(*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) x) y) y y)) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(*.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 x y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) y) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) y (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 252 |
| 0 | 82 | 252 |
| 1 | 267 | 241 |
| 2 | 2057 | 241 |
| 0 | 9149 | 238 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(sqrt.f64 x) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) |
#s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
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(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 #s(literal 27 binary64) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 9/2 binary64))))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 #s(literal 27 binary64) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 9/2 binary64)))) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 #s(literal 27 binary64) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 9/2 binary64)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(fma.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (/.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))))) |
(-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (neg.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (neg.f64 (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 9/2 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x)) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) x)) |
(neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (neg.f64 x))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 (fabs.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 3/4 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (fabs.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1/3 binary64) (fabs.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(fabs.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))))) |
(fabs.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))) |
(exp.f64 (/.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))) |
Compiled 18 090 to 2 304 computations (87.3% saved)
31 alts after pruning (24 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 564 | 14 | 578 |
| Fresh | 9 | 10 | 19 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 4 | 5 |
| Total | 576 | 31 | 607 |
| Status | Accuracy | Program |
|---|---|---|
| 60.6% | (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) #s(approx (* (- (/ 1/9 x) 1) (* (sqrt x) 3)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) | |
| 72.6% | (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) | |
| 47.8% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64)) x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) | |
| 58.2% | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) | |
| ✓ | 99.4% | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| 61.3% | (*.f64 (*.f64 (sqrt.f64 x) #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) #s(literal 3 binary64)) | |
| 61.3% | (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) | |
| 38.6% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| 61.3% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| ✓ | 61.3% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
| 23.7% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) #s(approx (- (/ 1/9 x) 1) #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| ✓ | 87.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y)) #s(literal 1 binary64))) |
| 99.4% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) | |
| 60.6% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) | |
| ✓ | 38.6% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
| ✓ | 39.6% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
| 99.5% | #s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)))) | |
| 61.4% | #s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 #s(approx (+ (* 3 y) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) | |
| 58.3% | #s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) (sqrt.f64 x)) x (*.f64 (-.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (*.f64 (-.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -3 binary64)) x))) | |
| 53.7% | #s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| 38.7% | #s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| 91.6% | #s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) #s(approx (+ (* (+ (* 3 y) -3) (sqrt x)) (/ (* 1/3 (sqrt x)) x)) (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) | |
| ✓ | 39.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| ✓ | 39.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
| 34.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) | |
| 38.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)))) x)) | |
| 55.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))) x)) | |
| 55.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) x)) | |
| 23.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) #s(approx (* (+ (* 3 y) -3) (sqrt (/ 1 x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) | |
| 2.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) x) (*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)))) | |
| 2.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) |
Compiled 2 622 to 1 007 computations (61.6% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) #s(approx (- (/ 1/9 x) 1) #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) x) (*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) #s(approx (* (+ (* 3 y) -3) (sqrt (/ 1 x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) #s(approx (* (- (/ 1/9 x) 1) (* (sqrt x) 3)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))) x)) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 #s(approx (+ (* 3 y) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) y y))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (fma.f64 (/.f64 y x) (/.f64 #s(literal 1/9 binary64) y) y)) #s(literal 1 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)))) x)) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) #s(approx (+ (* (+ (* 3 y) -3) (sqrt x)) (/ (* 1/3 (sqrt x)) x)) (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) (sqrt.f64 x)) x (*.f64 (-.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (*.f64 (-.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -3 binary64)) x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(approx (* (- y 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64)))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/3 binary64))) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64)) x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -3/2 binary64)))) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/9 binary64))) x) (fma.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -3/2 binary64)))))) |
| Outputs |
|---|
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) |
3 calls:
| 32.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 15.0ms | y |
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 99.5% | 1 | x |
| 99.5% | 1 | y |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) #s(approx (- (/ 1/9 x) 1) #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) x) (*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) #s(approx (* (+ (* 3 y) -3) (sqrt (/ 1 x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) #s(approx (* (- (/ 1/9 x) 1) (* (sqrt x) 3)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))) x)) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 #s(approx (+ (* 3 y) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)))) |
| Outputs |
|---|
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)))) |
3 calls:
| 11.0ms | x |
| 9.0ms | y |
| 9.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 99.5% | 1 | x |
| 99.5% | 1 | y |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) #s(approx (- (/ 1/9 x) 1) #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) x) (*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) #s(approx (* (+ (* 3 y) -3) (sqrt (/ 1 x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) #s(approx (* (- (/ 1/9 x) 1) (* (sqrt x) 3)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))) x)) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 #s(approx (+ (* 3 y) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
3 calls:
| 13.0ms | y |
| 8.0ms | x |
| 8.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 99.4% | 1 | x |
| 99.4% | 1 | y |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) #s(approx (- (/ 1/9 x) 1) #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) x) (*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) #s(approx (* (+ (* 3 y) -3) (sqrt (/ 1 x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
3 calls:
| 9.0ms | y |
| 5.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.0% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 86.2% | 2 | x |
| 90.0% | 3 | y |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) #s(approx (- (/ 1/9 x) 1) #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) x) (*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) #s(approx (* (+ (* 3 y) -3) (sqrt (/ 1 x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
1 calls:
| 4.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.0% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 14 to 12 computations (14.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) #s(approx (- (/ 1/9 x) 1) #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) x) (*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) #s(approx (* (+ (* 3 y) -3) (sqrt (/ 1 x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
1 calls:
| 4.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 14 to 12 computations (14.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) #s(approx (- (/ 1/9 x) 1) #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) x) (*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
3 calls:
| 5.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.6% | 1 | x |
| 60.6% | 1 | y |
| 60.6% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) #s(approx (- (/ 1/9 x) 1) #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) x) (*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (pow x 3))) 1/3)) x) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) |
| Outputs |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
3 calls:
| 3.0ms | x |
| 3.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.6% | 1 | y |
| 60.6% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 60.6% | 1 | x |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) #s(approx (- (/ 1/9 x) 1) #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (* (- y 1) 3) (sqrt (/ 1 x))) (/ 1/3 (pow x 3/2))) x) (*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) #s(approx (- (/ 1/9 x) 1) #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
3 calls:
| 3.0ms | y |
| 2.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.2% | 3 | y |
| 55.6% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 39.6% | 1 | x |
Compiled 16 to 16 computations (0% saved)
Total -0.1b remaining (-0.2%)
Threshold costs -0.1b (-0.2%)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
2 calls:
| 2.0ms | y |
| 2.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.6% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 39.6% | 1 | y |
Compiled 15 to 14 computations (6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6075605835280092e+153 | 1.9777545255647114e+156 |
| 0.0ms | -6.986791110527478e+24 | -6.24891685162448e+23 |
Compiled 17 to 17 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6075605835280092e+153 | 1.9777545255647114e+156 |
| 0.0ms | -6.986791110527478e+24 | -6.24891685162448e+23 |
Compiled 17 to 17 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6075605835280092e+153 | 1.9777545255647114e+156 |
| 0.0ms | -2.384880489278329 | 2041.5467580921538 |
Compiled 17 to 17 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 4.042711267385613e-22 | 8.401269814038814e-15 |
| 21.0ms | -28.666269244426594 | -1.0296867254053675e-9 |
| 25.0ms | 304× | 0 | valid |
Compiled 796 to 663 computations (16.7% saved)
ival-sqrt: 7.0ms (39.4% of total)ival-mult: 5.0ms (28.1% of total)ival-div: 2.0ms (11.3% of total)ival-add: 1.0ms (5.6% of total)ival-sub: 1.0ms (5.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 507 |
| 1 | 137 | 497 |
| 2 | 216 | 497 |
| 3 | 431 | 497 |
| 4 | 847 | 497 |
| 5 | 2258 | 497 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -5000000000000000452984832 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -5000000000000000452984832 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (if (<=.f64 y #s(literal 5197367460935741/633825300114114700748351602688 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) #s(approx (- (/ 1/9 x) 1) #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
| Outputs |
|---|
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (- (/ 1/9 x) 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -5000000000000000452984832 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ (pow x -1) 9)) 1)) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -5000000000000000452984832 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -5000000000000000452984832 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (if (<=.f64 y #s(literal 5197367460935741/633825300114114700748351602688 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) #s(approx (- (/ 1/9 x) 1) #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
| 1× | fuel |
Compiled 507 to 98 computations (80.7% saved)
Compiled 1 076 to 246 computations (77.1% saved)
Loading profile data...