
Time bar (total: 6.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 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)
| 820.0ms | 8 256× | 0 | valid |
| 16.0ms | 232× | 0 | invalid |
ival-mult: 190.0ms (33.2% of total)ival-add: 106.0ms (18.5% of total)ival-sub: 96.0ms (16.8% of total)ival-sqrt: 87.0ms (15.2% of total)ival-div: 71.0ms (12.4% of total)exact: 12.0ms (2.1% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 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 | - | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.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 |
| 65.0ms | 512× | 0 | valid |
Compiled 165 to 52 computations (68.5% saved)
ival-mult: 9.0ms (39.2% of total)ival-div: 4.0ms (17.4% of total)ival-sqrt: 4.0ms (17.4% of total)ival-sub: 2.0ms (8.7% of total)ival-add: 2.0ms (8.7% of total)exact: 1.0ms (4.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 78 |
| 1 | 84 | 64 |
| 2 | 306 | 62 |
| 3 | 1387 | 62 |
| 4 | 4652 | 62 |
| 5 | 7570 | 62 |
| 0 | 12 | 14 |
| 0 | 19 | 14 |
| 1 | 34 | 12 |
| 2 | 75 | 12 |
| 3 | 208 | 12 |
| 4 | 549 | 12 |
| 5 | 1558 | 12 |
| 6 | 3509 | 12 |
| 7 | 4167 | 12 |
| 8 | 4637 | 12 |
| 9 | 4761 | 12 |
| 10 | 4792 | 12 |
| 11 | 4792 | 12 |
| 12 | 4852 | 12 |
| 13 | 4989 | 12 |
| 14 | 5149 | 12 |
| 15 | 5622 | 12 |
| 16 | 5622 | 12 |
| 17 | 5622 | 12 |
| 18 | 5622 | 12 |
| 0 | 5622 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
Compiled 14 to 12 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (*.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)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 128 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 49 |
| 0 | 19 | 49 |
| 1 | 34 | 41 |
| 2 | 75 | 41 |
| 3 | 208 | 41 |
| 4 | 549 | 41 |
| 5 | 1558 | 41 |
| 6 | 3509 | 41 |
| 7 | 4167 | 41 |
| 8 | 4637 | 41 |
| 9 | 4761 | 41 |
| 10 | 4792 | 41 |
| 11 | 4792 | 41 |
| 12 | 4852 | 41 |
| 13 | 4989 | 41 |
| 14 | 5149 | 41 |
| 15 | 5622 | 41 |
| 16 | 5622 | 41 |
| 17 | 5622 | 41 |
| 18 | 5622 | 41 |
| 0 | 5622 | 40 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 9 binary64)) |
#s(literal 9 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) | |
| accuracy | 0.2265625 | (*.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 | 0.2890625 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) | |
| accuracy | 0.296875 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 37.0ms | 256× | 0 | valid |
Compiled 100 to 26 computations (74% saved)
ival-mult: 22.0ms (75.7% of total)ival-div: 2.0ms (6.9% of total)ival-sqrt: 2.0ms (6.9% of total)ival-sub: 1.0ms (3.4% of total)ival-add: 1.0ms (3.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| Outputs |
|---|
(/ 1/9 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (sqrt x)) |
(sqrt x) |
(/ (+ 1/9 (* x y)) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 2.0ms | x | @ | -inf | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1.0ms | x | @ | inf | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1.0ms | y | @ | 0 | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1.0ms | y | @ | -inf | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 211 |
| 0 | 223 | 206 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 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)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (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 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))) |
(* 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 #s(literal 3 binary64) (fma.f64 (sqrt.f64 x) y (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 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) (+.f64 (sqrt.f64 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x)))) y) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 y x)) #s(literal 1 binary64)) y) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) (+.f64 (sqrt.f64 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x)))) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 32 |
| 0 | 19 | 32 |
| 1 | 67 | 26 |
| 2 | 542 | 26 |
| 3 | 7235 | 26 |
| 0 | 8065 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/9 binary64)) |
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64)) |
(*.f64 #s(literal 1/9 binary64) (fabs.f64 (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 9 binary64)) |
(/.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 9 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal 1/9 binary64) (fabs.f64 x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x)) |
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) |
(-.f64 (cosh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) (sinh.f64 (log.f64 (*.f64 #s(literal 9 binary64) x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
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(+.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 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)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 81 binary64) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
Compiled 6 912 to 1 016 computations (85.3% saved)
24 alts after pruning (23 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 244 | 23 | 267 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 244 | 24 | 268 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| ▶ | 99.5% | (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
| ▶ | 99.4% | (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
| 99.5% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| 79.1% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) | |
| 44.1% | (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))) | |
| 62.6% | (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #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))) | |
| 99.4% | (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) | |
| 62.6% | (/.f64 #s(literal 1 binary64) (/.f64 (-.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 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) | |
| 99.4% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| 99.4% | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| ▶ | 99.5% | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
| 99.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) | |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 1 binary64))) | |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 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))) |
| 94.8% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) | |
| ▶ | 62.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
| 65.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) | |
| ▶ | 38.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| 81.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x)))) y)) | |
| 62.7% | #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)))) | |
| 61.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) | |
| 37.9% | #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 1 058 to 740 computations (30.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #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)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) | |
| cost-diff | 128 | (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 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)) (sqrt.f64 x)) | |
| cost-diff | 960 | (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) | |
| 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 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| cost-diff | 128 | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #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 | (/.f64 #s(literal 1/9 binary64) x) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) | |
| cost-diff | 320 | (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 960 | (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 259 |
| 0 | 66 | 265 |
| 1 | 126 | 249 |
| 2 | 305 | 247 |
| 3 | 813 | 247 |
| 4 | 2291 | 247 |
| 5 | 5363 | 247 |
| 0 | 8087 | 239 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #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) |
x |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 y (sqrt.f64 x)) |
y |
#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)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 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)) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(*.f64 #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)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
(/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
(sqrt.f64 x) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 y (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 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(-.f64 (/.f64 #s(literal 1/3 binary64) 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) |
x |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 y (sqrt.f64 x)) |
y |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.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)) (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 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 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)) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(*.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)) (sqrt.f64 x)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(*.f64 #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)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #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 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) |
(/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 y #s(literal 1 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(literal 1/3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.35546875 | (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) | |
| accuracy | 4.075932561841818 | (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) | |
| accuracy | 11.042237164979896 | (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) | |
| accuracy | 20.26257382575615 | (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.19140625 | (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.296875 | (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.30697250976844204 | (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) | |
| accuracy | 0.30859375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.00390625 | (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) | |
| accuracy | 0.224941259768442 | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.27734375 | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| accuracy | 0.30859375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.21484375 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 0.27734375 | (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) | |
| accuracy | 39.451050095403566 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) | |
| accuracy | 0.2109375 | (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| accuracy | 0.21484375 | (*.f64 y (sqrt.f64 x)) | |
| accuracy | 0.27734375 | (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) | |
| accuracy | 0.30859375 | (/.f64 #s(literal 1/9 binary64) x) |
| 82.0ms | 256× | 0 | valid |
Compiled 500 to 84 computations (83.2% saved)
ival-mult: 25.0ms (40% of total)const: 13.0ms (20.8% of total)ival-div: 5.0ms (8% of total)ival-add: 5.0ms (8% of total)ival-sub: 5.0ms (8% of total)ival-sqrt: 5.0ms (8% of total)ival-pow: 3.0ms (4.8% of total)exact: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/9 binary64) 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) |
(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)) (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 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
(/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ 1/3 x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* -1 x)) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) y)) |
(* (sqrt x) y) |
(sqrt x) |
(* 1/9 (sqrt (/ 1 x))) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y)) x) |
(* 1/3 (sqrt x)) |
(+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) |
(* (sqrt (pow x 3)) (- y 1)) |
(* -3 (sqrt x)) |
(sqrt (pow x 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 |
(- (* 1/3 (/ 1 x)) 3) |
-1 |
(- (* 1/9 (/ 1 x)) 1) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* (sqrt x) (- y 1)) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y))) |
(* 3 (* (sqrt (pow x 3)) (- y 1))) |
(* (pow x 2) (+ (* 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) (- 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)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* 3 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- y 1)))) |
(* (pow x 2) (+ (* -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))) (pow (sqrt -1) 2)))))) |
(* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- y 1))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y)) |
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) |
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y)))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(* -1 (sqrt (pow x 3))) |
(+ (* -1 (sqrt (pow x 3))) (* (sqrt (pow x 3)) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 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) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 1 y))))) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3)))))) |
(* (sqrt (pow x 3)) y) |
(* y (+ (sqrt (pow x 3)) (* -1 (* (sqrt (pow x 3)) (/ 1 y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(* -1 (* y (+ (* -1 (sqrt (pow x 3))) (* (sqrt (pow x 3)) (/ 1 y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | ((+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (* (- (/ 1/9 x) 1) 3) (- (/ 1/9 x) 1) (/ 1/9 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (sqrt x) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* (+ y (/ 1/9 x)) (sqrt x)) (+ (* (* (- y 1) (sqrt (pow x 3))) 3) (* (sqrt x) 1/3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) (sqrt (pow x 3))) 3) (* (sqrt x) 1/3)) x) (* (- y 1) (sqrt (pow x 3))) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* -3 (sqrt x)) (sqrt (pow x 3)) (* (sqrt x) 1/3)) |
| 7.0ms | y | @ | 0 | ((+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (* (- (/ 1/9 x) 1) 3) (- (/ 1/9 x) 1) (/ 1/9 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (sqrt x) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* (+ y (/ 1/9 x)) (sqrt x)) (+ (* (* (- y 1) (sqrt (pow x 3))) 3) (* (sqrt x) 1/3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) (sqrt (pow x 3))) 3) (* (sqrt x) 1/3)) x) (* (- y 1) (sqrt (pow x 3))) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* -3 (sqrt x)) (sqrt (pow x 3)) (* (sqrt x) 1/3)) |
| 6.0ms | x | @ | -inf | ((+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (* (- (/ 1/9 x) 1) 3) (- (/ 1/9 x) 1) (/ 1/9 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (sqrt x) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* (+ y (/ 1/9 x)) (sqrt x)) (+ (* (* (- y 1) (sqrt (pow x 3))) 3) (* (sqrt x) 1/3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) (sqrt (pow x 3))) 3) (* (sqrt x) 1/3)) x) (* (- y 1) (sqrt (pow x 3))) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* -3 (sqrt x)) (sqrt (pow x 3)) (* (sqrt x) 1/3)) |
| 4.0ms | x | @ | inf | ((+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (* (- (/ 1/9 x) 1) 3) (- (/ 1/9 x) 1) (/ 1/9 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (sqrt x) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* (+ y (/ 1/9 x)) (sqrt x)) (+ (* (* (- y 1) (sqrt (pow x 3))) 3) (* (sqrt x) 1/3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) (sqrt (pow x 3))) 3) (* (sqrt x) 1/3)) x) (* (- y 1) (sqrt (pow x 3))) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* -3 (sqrt x)) (sqrt (pow x 3)) (* (sqrt x) 1/3)) |
| 3.0ms | y | @ | -inf | ((+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (* (- (/ 1/9 x) 1) 3) (- (/ 1/9 x) 1) (/ 1/9 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (sqrt x) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* (+ y (/ 1/9 x)) (sqrt x)) (+ (* (* (- y 1) (sqrt (pow x 3))) 3) (* (sqrt x) 1/3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (+ (* (* (- y 1) (sqrt (pow x 3))) 3) (* (sqrt x) 1/3)) x) (* (- y 1) (sqrt (pow x 3))) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* -3 (sqrt x)) (sqrt (pow x 3)) (* (sqrt x) 1/3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 214 | 1102 |
| 0 | 770 | 1053 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ 1/3 x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* -1 x)) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) y)) |
(* (sqrt x) y) |
(sqrt x) |
(* 1/9 (sqrt (/ 1 x))) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y)) x) |
(* 1/3 (sqrt x)) |
(+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) |
(* (sqrt (pow x 3)) (- y 1)) |
(* -3 (sqrt x)) |
(sqrt (pow x 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 |
(- (* 1/3 (/ 1 x)) 3) |
-1 |
(- (* 1/9 (/ 1 x)) 1) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* (sqrt x) (- y 1)) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y))) |
(* 3 (* (sqrt (pow x 3)) (- y 1))) |
(* (pow x 2) (+ (* 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) (- 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)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* 3 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- y 1)))) |
(* (pow x 2) (+ (* -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))) (pow (sqrt -1) 2)))))) |
(* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- y 1))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y)) |
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) |
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y)))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(* -1 (sqrt (pow x 3))) |
(+ (* -1 (sqrt (pow x 3))) (* (sqrt (pow x 3)) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 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) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 1 y))))) |
(* 3 (* (sqrt (pow x 3)) y)) |
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3)))))) |
(* (sqrt (pow x 3)) y) |
(* y (+ (sqrt (pow x 3)) (* -1 (* (sqrt (pow x 3)) (/ 1 y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(* -1 (* y (+ (* -1 (sqrt (pow x 3))) (* (sqrt (pow x 3)) (/ 1 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)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* -1 x)) x) |
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1/9 binary64)) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #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)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(sqrt x) |
(sqrt.f64 x) |
(* 1/9 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/9 binary64) (sqrt.f64 x))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1/9 binary64)) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y)) x) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y (*.f64 #s(literal 1/9 binary64) (sqrt.f64 x))) x) |
(* 1/3 (sqrt x)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(* (sqrt (pow x 3)) (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -3 (sqrt x)) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(sqrt (pow x 3)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 #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 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64)))) x) |
-3 |
#s(literal -3 binary64) |
(- (* 1/3 (/ 1 x)) 3) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/9 (/ 1 x)) 1) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(* (sqrt x) (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 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 1/9 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) 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) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/9 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x) |
(* 3 (* (sqrt (pow x 3)) (- y 1))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) |
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -3 binary64)))) |
(* -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 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -3 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/3 binary64)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/9 binary64)))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/9 binary64) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* 3 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) (*.f64 x x)) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 y #s(literal 1 binary64))) #s(literal -3 binary64) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/3 binary64)))) |
(* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- y 1))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (-.f64 y #s(literal 1 binary64))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))) |
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(+ (* -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 #s(literal -3 binary64) (sqrt.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))) |
(+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y)) |
(fma.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) y)) |
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y)))) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) y (*.f64 #s(literal 1/3 binary64) (sqrt.f64 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) |
(* -1 (sqrt (pow x 3))) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(+ (* -1 (sqrt (pow x 3))) (* (sqrt (pow x 3)) y)) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y (neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x) (sqrt.f64 x))) y) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x) (sqrt.f64 x)) y) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) y) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) y) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) y) |
(* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 1 y))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/9 binary64) (sqrt.f64 x)) y) |
(* 3 (* (sqrt (pow x 3)) y)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) y) |
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -3 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))) y) |
(* (sqrt (pow x 3)) y) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y) |
(* y (+ (sqrt (pow x 3)) (* -1 (* (sqrt (pow x 3)) (/ 1 y))))) |
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) y) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x) (sqrt.f64 x))) y)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(neg.f64 (*.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (neg.f64 (sqrt.f64 x))) y)) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal -1 binary64) #s(literal -1 binary64)) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) y))) y)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x))) y)) |
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y))))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (neg.f64 (/.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))) y))) y)) |
(* -1 (* y (+ (* -1 (sqrt (pow x 3))) (* (sqrt (pow x 3)) (/ 1 y))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 211 |
| 0 | 66 | 210 |
| 1 | 252 | 197 |
| 2 | 2135 | 197 |
| 0 | 8473 | 196 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/9 binary64) 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) |
(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)) (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 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
(/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(*.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 #s(literal 3 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (sqrt.f64 x)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) #s(literal 2 binary64)) x (*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))))) #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 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 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #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))) |
(pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) #s(literal 2 binary64)) x (*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))))) (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) #s(literal 2 binary64)) x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) (*.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) #s(literal 2 binary64)) x (*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))))) (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) #s(literal 2 binary64)) x (*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))))) (pow.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) #s(literal 2 binary64)) x (*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))))) (fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) #s(literal 2 binary64)) x (*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))))))) |
(/.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)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) #s(literal 2 binary64)) x)) (-.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) #s(literal 2 binary64)) x (fma.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) #s(literal 2 binary64)) x (*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) #s(literal 2 binary64)) x) (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64))) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) #s(literal 2 binary64)) x (*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) #s(literal 2 binary64)) x (*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))))) (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64))) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 x))) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 x))) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))) |
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 x))) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))) |
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))) |
(fma.f64 (sqrt.f64 x) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (sqrt.f64 x) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))) |
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 x))) #s(literal 3 binary64))) |
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(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/9 binary64))) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 y #s(literal 1 binary64))) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64))) x (*.f64 x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/9 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) x)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) x)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (neg.f64 x))) |
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) x))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) x))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)) |
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) x))) |
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 y #s(literal 1 binary64))) x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)) |
(-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/3 binary64)) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) x))) |
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) y (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))) |
(fma.f64 y (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(+.f64 (*.f64 y (pow.f64 x #s(literal 3/2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.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 #s(literal -3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (sqrt.f64 x) x) |
(*.f64 x (sqrt.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(pow.f64 x #s(literal 3/2 binary64)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) |
(+.f64 (cosh.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
(sqrt.f64 (*.f64 x #s(literal 1/9 binary64))) |
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/3 binary64))) |
(fabs.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
Compiled 23 134 to 3 046 computations (86.8% saved)
33 alts after pruning (31 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 846 | 22 | 868 |
| Fresh | 9 | 9 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 859 | 33 | 892 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| 99.5% | (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| ✓ | 99.4% | (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
| 99.5% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| 99.4% | (fma.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| 99.5% | (fma.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| 61.6% | (fma.f64 #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| 99.4% | (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) | |
| 62.6% | (/.f64 #s(literal 1 binary64) (/.f64 (-.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 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) | |
| 99.4% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| 99.4% | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| ▶ | 70.4% | (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (-.f64 y #s(literal -1 binary64)))) (sqrt.f64 x)) #s(literal 3 binary64)) |
| ▶ | 99.5% | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
| ▶ | 99.5% | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
| 94.8% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1/9 binary64)) x)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 99.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) | |
| 94.8% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) | |
| ▶ | 62.8% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal 3 binary64)) |
| 37.8% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) | |
| 57.5% | #s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) | |
| 62.7% | #s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) | |
| 81.1% | #s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x) (sqrt.f64 x))) y)) | |
| 37.9% | #s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| 80.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) | |
| 80.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| 80.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) | |
| 62.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (sqrt.f64 (*.f64 x #s(literal 1/9 binary64)))) x)) | |
| 37.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) (sqrt (pow x 3))) 3) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| 65.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) | |
| ✓ | 38.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| 61.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64)))) | |
| 38.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) | |
| ▶ | 38.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
Compiled 1 427 to 1 114 computations (21.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (*.f64 x (-.f64 y #s(literal -1 binary64))) | |
| cost-diff | 128 | (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (-.f64 y #s(literal -1 binary64)))) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| cost-diff | 192 | (fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) | |
| cost-diff | 1088 | (/.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (-.f64 y #s(literal -1 binary64)))) | |
| cost-diff | 0 | (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| cost-diff | 128 | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) | |
| cost-diff | 0 | (+.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 | 128 | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 292 |
| 0 | 73 | 250 |
| 1 | 145 | 250 |
| 2 | 377 | 250 |
| 3 | 1591 | 250 |
| 0 | 8558 | 243 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal 3 binary64)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 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) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
x |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (-.f64 y #s(literal -1 binary64)))) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (-.f64 y #s(literal -1 binary64)))) (sqrt.f64 x)) |
(/.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (-.f64 y #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
#s(literal 1/9 binary64) |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
(*.f64 x (fma.f64 y y #s(literal -1 binary64))) |
x |
(fma.f64 y y #s(literal -1 binary64)) |
(*.f64 x (-.f64 y #s(literal -1 binary64))) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
| Outputs |
|---|
(*.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 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #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)) |
(fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) |
(-.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) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
y |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal 3 binary64)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 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) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 x)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 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 binary64) (*.f64 #s(literal 9 binary64) x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1 binary64) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
x |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (-.f64 y #s(literal -1 binary64)))) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (-.f64 y #s(literal -1 binary64)))) (sqrt.f64 x)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x)) |
(/.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (-.f64 y #s(literal -1 binary64)))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (-.f64 y #s(literal -1 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1/9 binary64))) |
#s(literal 1/9 binary64) |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
(*.f64 x (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
x |
(fma.f64 y y #s(literal -1 binary64)) |
(*.f64 x (-.f64 y #s(literal -1 binary64))) |
(fma.f64 x y x) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.224941259768442 | (*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (-.f64 y #s(literal -1 binary64)))) (sqrt.f64 x)) | |
| accuracy | 0.27734375 | (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (-.f64 y #s(literal -1 binary64)))) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| accuracy | 5.168367190999175 | (*.f64 x (fma.f64 y y #s(literal -1 binary64))) | |
| accuracy | 13.33880246991288 | (/.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (-.f64 y #s(literal -1 binary64)))) | |
| accuracy | 0.00390625 | (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) | |
| accuracy | 0.224941259768442 | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.27734375 | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| accuracy | 0.2890625 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) | |
| accuracy | 0.232753759768442 | (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.27734375 | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal 3 binary64)) | |
| accuracy | 0.30859375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 23.581623067393988 | #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.313163769536884 | (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) | |
| accuracy | 39.451050095403566 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) | |
| accuracy | 0.00390625 | (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) | |
| accuracy | 0.17578125 | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) | |
| accuracy | 0.30859375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.33203125 | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
| 99.0ms | 234× | 0 | valid |
| 12.0ms | 9× | 2 | valid |
| 9.0ms | 13× | 1 | valid |
Compiled 571 to 92 computations (83.9% saved)
ival-mult: 34.0ms (49.6% of total)ival-add: 9.0ms (13.1% of total)ival-div: 7.0ms (10.2% of total)const: 7.0ms (10.2% of total)ival-sub: 6.0ms (8.8% of total)adjust: 2.0ms (2.9% of total)ival-sqrt: 2.0ms (2.9% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (-.f64 (+.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)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 y #s(literal 3 binary64)) |
(sqrt.f64 x) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal 3 binary64)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (-.f64 y #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (-.f64 y #s(literal -1 binary64)))) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (-.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) |
(*.f64 x (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (-.f64 y #s(literal -1 binary64)))) (sqrt.f64 x)) |
| Outputs |
|---|
(/ 1/3 x) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x y)) x) |
(* 3 (* (sqrt x) y)) |
(sqrt x) |
(* 1/9 (sqrt (/ 1 x))) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x) |
(/ (+ 1/9 (* -1 x)) x) |
(/ (+ 1/9 (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))) x) |
(* 1/9 (+ 1 y)) |
(+ (* 1/9 (+ 1 y)) (* x (- (pow y 2) 1))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))) x) |
(* x (+ 1 y)) |
(* x (- (pow y 2) 1)) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))) x) |
(* 3 (- y 1)) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* (sqrt x) (- y 1)) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(* -1 (sqrt x)) |
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3)))))) |
-1 |
(- (* 1/9 (/ 1 x)) 1) |
(/ (- (pow y 2) 1) (+ 1 y)) |
(- (+ (* 1/9 (/ 1 x)) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))) |
(* x (- (+ (* 1/9 (/ (+ 1 y) x)) (pow y 2)) 1)) |
(* 3 (* (sqrt x) (/ (- (pow y 2) 1) (+ 1 y)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))))) |
(* (sqrt x) (/ (- (pow y 2) 1) (+ 1 y))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y))))) |
(* -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)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (- (pow y 2) 1)) (* -1/9 (/ (+ 1 y) x))))) |
(* -3 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y))))))) |
(* -1 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))))) |
(* 3 (- (* 1/9 (/ 1 x)) 1)) |
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 y) |
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ -1 (+ (* y (- (+ 1 (* 1/9 (/ 1 x))) (* 1/9 (/ 1 x)))) (* 1/9 (/ 1 x)))) |
(+ 1/9 (* -1 x)) |
(+ 1/9 (+ (* -1 x) (* 1/9 y))) |
(+ 1/9 (+ (* -1 x) (* y (+ 1/9 (* x y))))) |
(* 3 (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x))))) |
x |
(+ x (* x y)) |
(* -1 x) |
(+ (* -1 x) (* x (pow y 2))) |
(* (sqrt (/ 1 x)) (+ 1/9 (* -1 x))) |
(+ (* (sqrt x) y) (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x)))) |
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* 1/9 (/ 1 y)))) |
(* (pow y 2) (+ x (+ (* -1 (/ x (pow y 2))) (+ (/ 1/9 (pow y 2)) (* 1/9 (/ 1 y)))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y))))) |
(* y (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 2)))) (* 3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y)))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 3)))) (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 2)))) (* 3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y))))))) |
(* x y) |
(* y (+ x (/ x y))) |
(* (pow y 2) (+ x (* -1 (/ x (pow y 2))))) |
(* y (+ (sqrt x) (* (sqrt (/ 1 x)) (/ (- 1/9 x) y)))) |
(* y (+ (sqrt x) (+ (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 2))) (* (sqrt (/ 1 x)) (/ (- 1/9 x) y))))) |
(* y (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 3)))) (+ (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 2))) (* (sqrt (/ 1 x)) (/ (- 1/9 x) y)))))) |
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (+ 1/9 (* -1 x)) x)) (* -1 (- (* 1/9 (/ 1 x)) 1))) y)) (* 1/9 (/ 1 x))) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ 1/9 (* -1 x)) x)) (* -1 (/ (- (* -1 (/ (+ 1/9 (* -1 x)) x)) (* -1 (- (* 1/9 (/ 1 x)) 1))) y))) (* -1 (- (* 1/9 (/ 1 x)) 1))) y)) (* 1/9 (/ 1 x))) 1) y)) 1))) |
(* (pow y 2) (+ x (* -1 (/ (- (* -1 (/ (+ 1/9 (* -1 x)) y)) 1/9) y)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))) y))) (* 3 (* (sqrt (/ 1 x)) (- 1/9 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -3 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))) y))) (* 3 (* (sqrt (/ 1 x)) (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x)))))) y)) (* 3 (* (sqrt (/ 1 x)) (- 1/9 x)))) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))) y))) (* (sqrt (/ 1 x)) (- 1/9 x))) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))) y))) (* (sqrt (/ 1 x)) (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))))) y)) (* (sqrt (/ 1 x)) (- 1/9 x))) y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | inf | ((* (- (+ y (/ 1/9 x)) 1) 3) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y 3) (sqrt x)) (* y 3) (sqrt x) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (* (- (/ 1/9 x) 1) (sqrt x)) (- (/ 1/9 x) 1) (/ 1 (* 9 x)) (* (* (- (+ y (/ 1 (* 9 x))) 1) (sqrt x)) 3) (* (- (+ y (/ 1 (* 9 x))) 1) (sqrt x)) (- (+ y (/ 1 (* 9 x))) 1) (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x)) 3) (* x (- y -1)) (/ 1/9 x) (+ y (/ 1 (* 9 x))) (* x (+ (* y y) -1)) (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x))) |
| 8.0ms | y | @ | inf | ((* (- (+ y (/ 1/9 x)) 1) 3) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y 3) (sqrt x)) (* y 3) (sqrt x) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (* (- (/ 1/9 x) 1) (sqrt x)) (- (/ 1/9 x) 1) (/ 1 (* 9 x)) (* (* (- (+ y (/ 1 (* 9 x))) 1) (sqrt x)) 3) (* (- (+ y (/ 1 (* 9 x))) 1) (sqrt x)) (- (+ y (/ 1 (* 9 x))) 1) (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x)) 3) (* x (- y -1)) (/ 1/9 x) (+ y (/ 1 (* 9 x))) (* x (+ (* y y) -1)) (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x))) |
| 5.0ms | x | @ | -inf | ((* (- (+ y (/ 1/9 x)) 1) 3) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y 3) (sqrt x)) (* y 3) (sqrt x) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (* (- (/ 1/9 x) 1) (sqrt x)) (- (/ 1/9 x) 1) (/ 1 (* 9 x)) (* (* (- (+ y (/ 1 (* 9 x))) 1) (sqrt x)) 3) (* (- (+ y (/ 1 (* 9 x))) 1) (sqrt x)) (- (+ y (/ 1 (* 9 x))) 1) (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x)) 3) (* x (- y -1)) (/ 1/9 x) (+ y (/ 1 (* 9 x))) (* x (+ (* y y) -1)) (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x))) |
| 5.0ms | y | @ | -inf | ((* (- (+ y (/ 1/9 x)) 1) 3) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y 3) (sqrt x)) (* y 3) (sqrt x) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (* (- (/ 1/9 x) 1) (sqrt x)) (- (/ 1/9 x) 1) (/ 1 (* 9 x)) (* (* (- (+ y (/ 1 (* 9 x))) 1) (sqrt x)) 3) (* (- (+ y (/ 1 (* 9 x))) 1) (sqrt x)) (- (+ y (/ 1 (* 9 x))) 1) (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x)) 3) (* x (- y -1)) (/ 1/9 x) (+ y (/ 1 (* 9 x))) (* x (+ (* y y) -1)) (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x))) |
| 4.0ms | x | @ | 0 | ((* (- (+ y (/ 1/9 x)) 1) 3) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y 3) (sqrt x)) (* y 3) (sqrt x) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (* (- (/ 1/9 x) 1) (sqrt x)) (- (/ 1/9 x) 1) (/ 1 (* 9 x)) (* (* (- (+ y (/ 1 (* 9 x))) 1) (sqrt x)) 3) (* (- (+ y (/ 1 (* 9 x))) 1) (sqrt x)) (- (+ y (/ 1 (* 9 x))) 1) (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x)) 3) (* x (- y -1)) (/ 1/9 x) (+ y (/ 1 (* 9 x))) (* x (+ (* y y) -1)) (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 336 | 1523 |
| 0 | 1262 | 1454 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(/ 1/3 x) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x y)) x) |
(* 3 (* (sqrt x) y)) |
(sqrt x) |
(* 1/9 (sqrt (/ 1 x))) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x) |
(/ (+ 1/9 (* -1 x)) x) |
(/ (+ 1/9 (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))) x) |
(* 1/9 (+ 1 y)) |
(+ (* 1/9 (+ 1 y)) (* x (- (pow y 2) 1))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))) x) |
(* x (+ 1 y)) |
(* x (- (pow y 2) 1)) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))) x) |
(* 3 (- y 1)) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(+ y (* 1/9 (/ 1 x))) |
(* (sqrt x) (- y 1)) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(* -1 (sqrt x)) |
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3)))))) |
-1 |
(- (* 1/9 (/ 1 x)) 1) |
(/ (- (pow y 2) 1) (+ 1 y)) |
(- (+ (* 1/9 (/ 1 x)) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))) |
(* x (- (+ (* 1/9 (/ (+ 1 y) x)) (pow y 2)) 1)) |
(* 3 (* (sqrt x) (/ (- (pow y 2) 1) (+ 1 y)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))))) |
(* (sqrt x) (/ (- (pow y 2) 1) (+ 1 y))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y))))) |
(* -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)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (- (pow y 2) 1)) (* -1/9 (/ (+ 1 y) x))))) |
(* -3 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y))))))) |
(* -1 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))))) |
(* 3 (- (* 1/9 (/ 1 x)) 1)) |
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 y) |
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ -1 (+ (* y (- (+ 1 (* 1/9 (/ 1 x))) (* 1/9 (/ 1 x)))) (* 1/9 (/ 1 x)))) |
(+ 1/9 (* -1 x)) |
(+ 1/9 (+ (* -1 x) (* 1/9 y))) |
(+ 1/9 (+ (* -1 x) (* y (+ 1/9 (* x y))))) |
(* 3 (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x))))) |
x |
(+ x (* x y)) |
(* -1 x) |
(+ (* -1 x) (* x (pow y 2))) |
(* (sqrt (/ 1 x)) (+ 1/9 (* -1 x))) |
(+ (* (sqrt x) y) (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x)))) |
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* 1/9 (/ 1 y)))) |
(* (pow y 2) (+ x (+ (* -1 (/ x (pow y 2))) (+ (/ 1/9 (pow y 2)) (* 1/9 (/ 1 y)))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y))))) |
(* y (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 2)))) (* 3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y)))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 3)))) (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 2)))) (* 3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y))))))) |
(* x y) |
(* y (+ x (/ x y))) |
(* (pow y 2) (+ x (* -1 (/ x (pow y 2))))) |
(* y (+ (sqrt x) (* (sqrt (/ 1 x)) (/ (- 1/9 x) y)))) |
(* y (+ (sqrt x) (+ (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 2))) (* (sqrt (/ 1 x)) (/ (- 1/9 x) y))))) |
(* y (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 3)))) (+ (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 2))) (* (sqrt (/ 1 x)) (/ (- 1/9 x) y)))))) |
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (+ 1/9 (* -1 x)) x)) (* -1 (- (* 1/9 (/ 1 x)) 1))) y)) (* 1/9 (/ 1 x))) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ 1/9 (* -1 x)) x)) (* -1 (/ (- (* -1 (/ (+ 1/9 (* -1 x)) x)) (* -1 (- (* 1/9 (/ 1 x)) 1))) y))) (* -1 (- (* 1/9 (/ 1 x)) 1))) y)) (* 1/9 (/ 1 x))) 1) y)) 1))) |
(* (pow y 2) (+ x (* -1 (/ (- (* -1 (/ (+ 1/9 (* -1 x)) y)) 1/9) y)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))) y))) (* 3 (* (sqrt (/ 1 x)) (- 1/9 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -3 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))) y))) (* 3 (* (sqrt (/ 1 x)) (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x)))))) y)) (* 3 (* (sqrt (/ 1 x)) (- 1/9 x)))) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))) y))) (* (sqrt (/ 1 x)) (- 1/9 x))) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))) y))) (* (sqrt (/ 1 x)) (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))))) y)) (* (sqrt (/ 1 x)) (- 1/9 x))) y))))) |
| Outputs |
|---|
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
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(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (+ 1/9 (* -1 x)) x)) (* -1 (- (* 1/9 (/ 1 x)) 1))) y)) (* 1/9 (/ 1 x))) 1) y)) 1))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) x)) (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) y) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) y) #s(literal -1 binary64) #s(literal -1 binary64)) y)) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ 1/9 (* -1 x)) x)) (* -1 (/ (- (* -1 (/ (+ 1/9 (* -1 x)) x)) (* -1 (- (* 1/9 (/ 1 x)) 1))) y))) (* -1 (- (* 1/9 (/ 1 x)) 1))) y)) (* 1/9 (/ 1 x))) 1) y)) 1))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) x)) (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) y) #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) x))) (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) y) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) y) #s(literal -1 binary64) #s(literal -1 binary64)) y)) |
(* (pow y 2) (+ x (* -1 (/ (- (* -1 (/ (+ 1/9 (* -1 x)) y)) 1/9) y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64) #s(literal -1/9 binary64)) y) #s(literal -1 binary64) x) (*.f64 y y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y)))))) |
(neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))) y))) (* 3 (* (sqrt (/ 1 x)) (- 1/9 x)))) y))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) x)) (neg.f64 (-.f64 #s(literal 1/9 binary64) x))) y) (*.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) y))) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -3 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))) y))) (* 3 (* (sqrt (/ 1 x)) (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x)))))) y)) (* 3 (* (sqrt (/ 1 x)) (- 1/9 x)))) y))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/9 binary64) x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) x)) (neg.f64 (-.f64 #s(literal 1/9 binary64) x))) y) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) x)) (neg.f64 (-.f64 #s(literal 1/9 binary64) x))))) y))) y))) y)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x y) x)) y)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y)))))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) y)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))) y))) (* (sqrt (/ 1 x)) (- 1/9 x))) y))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) x)) (neg.f64 (-.f64 #s(literal 1/9 binary64) x))) y) (*.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))) y))) (* (sqrt (/ 1 x)) (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))))) y)) (* (sqrt (/ 1 x)) (- 1/9 x))) y))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) x)) (neg.f64 (-.f64 #s(literal 1/9 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) x)) (neg.f64 (-.f64 #s(literal 1/9 binary64) x))) y))) y))) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 249 |
| 0 | 73 | 207 |
| 1 | 291 | 207 |
| 2 | 1774 | 207 |
| 0 | 8540 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 y #s(literal 3 binary64)) |
(sqrt.f64 x) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal 3 binary64)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (-.f64 y #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (-.f64 y #s(literal -1 binary64)))) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (-.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) |
(*.f64 x (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (-.f64 y #s(literal -1 binary64)))) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 #s(literal 3 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #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)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) |
(fma.f64 #s(literal 3 binary64) y (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(fma.f64 #s(literal 3 binary64) y (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) |
(fma.f64 y #s(literal 3 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(fma.f64 y #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) #s(literal -3 binary64)) |
(+.f64 (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -3 binary64)) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #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 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (pow.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x))) (*.f64 (-.f64 y #s(literal -1 binary64)) 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 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 x) 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 (*.f64 (sqrt.f64 x) 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 (*.f64 #s(literal 3 binary64) 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 (*.f64 #s(literal 3 binary64) 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)))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #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 #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 (sqrt.f64 x) (*.f64 #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 #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)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(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)))) |
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.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)))) |
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(fma.f64 y #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(-.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 y (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 y (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(+.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 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
(*.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
(*.f64 x (fma.f64 y y #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y y) x) (neg.f64 x))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) x) (neg.f64 x))))) |
(fma.f64 (*.f64 x (neg.f64 y)) (neg.f64 y) (neg.f64 x)) |
(fma.f64 (*.f64 x y) y (neg.f64 x)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) x) (neg.f64 x)) |
(fma.f64 (*.f64 y y) x (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x (*.f64 (*.f64 y y) x)) |
(fma.f64 x (*.f64 y y) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (*.f64 y y) x)) |
(fma.f64 y (*.f64 y x) (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 (*.f64 y y) x) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 y y) x) (neg.f64 x)) |
(+.f64 (neg.f64 x) (*.f64 (*.f64 y y) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (-.f64 y #s(literal -1 binary64))) (/.f64 (sqrt.f64 x) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) x) (/.f64 (sqrt.f64 x) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) (pow.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (/.f64 (sqrt.f64 x) (*.f64 (-.f64 y #s(literal -1 binary64)) x))) |
(*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) #s(literal -1 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x)) |
(pow.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) (-.f64 y #s(literal -1 binary64))) x) |
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) x) (-.f64 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)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)) (+.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(/.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) x) (sqrt.f64 x)) (-.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)))) (sqrt.f64 x)) (*.f64 (neg.f64 x) (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) x)) (-.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) (neg.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))))) (*.f64 (neg.f64 x) (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x))) (*.f64 (neg.f64 x) (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) |
(/.f64 (sqrt.f64 x) (pow.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)))) |
(fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) x) (-.f64 y #s(literal -1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 x x) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) (/.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) x) (-.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (*.f64 (/.f64 x x) (-.f64 y #s(literal 1 binary64))))) |
(fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 x) y (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(fma.f64 y (sqrt.f64 x) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) |
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) |
(+.f64 (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) x) (-.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) (*.f64 (*.f64 (/.f64 x x) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))) |
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(+.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) |
(+.f64 (*.f64 (sqrt.f64 x) (/.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) x) (-.f64 y #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) (*.f64 (/.f64 x x) (-.f64 y #s(literal 1 binary64))))) |
Compiled 21 010 to 3 196 computations (84.8% saved)
35 alts after pruning (31 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 708 | 15 | 723 |
| Fresh | 10 | 16 | 26 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 721 | 35 | 756 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| ✓ | 99.4% | (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
| ▶ | 99.5% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
| 61.6% | (fma.f64 #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| ▶ | 60.0% | (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) |
| 99.4% | (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) | |
| 62.6% | (/.f64 #s(literal 1 binary64) (/.f64 (-.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 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) | |
| 99.4% | (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| 99.5% | (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) | |
| 99.4% | (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| ✓ | 99.5% | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
| 47.0% | (*.f64 (*.f64 #s(approx (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| ▶ | 37.8% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
| 61.6% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| 99.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) | |
| 94.8% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) | |
| 62.7% | (*.f64 #s(approx (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x)) (*.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) | |
| 62.8% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 #s(approx (- (/ 1/9 x) 1) (/.f64 (-.f64 #s(literal 1/9 binary64) x) x)) (sqrt.f64 x))) #s(literal 3 binary64)) | |
| ▶ | 25.7% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 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)) | |
| ▶ | 94.7% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
| 37.8% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) | |
| 57.5% | #s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) | |
| 81.1% | #s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x) (sqrt.f64 x))) y)) | |
| 37.9% | #s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| 65.0% | #s(approx (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) | |
| 61.5% | #s(approx (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64)))) | |
| 80.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) | |
| 80.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| 80.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) | |
| 62.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (sqrt.f64 (*.f64 x #s(literal 1/9 binary64)))) x)) | |
| 37.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) (sqrt (pow x 3))) 3) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| ✓ | 38.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| 38.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) | |
| ✓ | 38.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
Compiled 1 502 to 1 161 computations (22.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) | |
| cost-diff | 128 | (*.f64 (-.f64 y #s(literal -1 binary64)) x) | |
| cost-diff | 192 | (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) | |
| cost-diff | 0 | #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) | |
| cost-diff | 128 | (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) | |
| cost-diff | 192 | (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) x) | |
| cost-diff | 0 | #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | (neg.f64 (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 128 | (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) | |
| cost-diff | 832 | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 319 |
| 0 | 73 | 319 |
| 1 | 135 | 317 |
| 2 | 365 | 317 |
| 3 | 1575 | 313 |
| 4 | 7828 | 313 |
| 0 | 8029 | 299 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
(*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
#s(literal 3 binary64) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) |
#s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
#s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 3 binary64) |
(sqrt.f64 x) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
x |
#s(literal 3 binary64) |
#s(literal 1/3 binary64) |
(sqrt.f64 x) |
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) |
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) |
(fma.f64 y y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
x |
(fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(*.f64 (-.f64 y #s(literal -1 binary64)) x) |
(-.f64 y #s(literal -1 binary64)) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
(*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
#s(literal 3 binary64) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) |
#s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
#s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 3 binary64) |
(sqrt.f64 x) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))) |
(/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x) |
(fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x #s(literal 1/3 binary64)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
x |
#s(literal 3 binary64) |
#s(literal 1/3 binary64) |
(sqrt.f64 x) |
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 y (fma.f64 y x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/9 binary64) x)) (fma.f64 y x x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 y (fma.f64 y x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/9 binary64) x))) |
(*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) |
(*.f64 (fma.f64 y (fma.f64 y x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) |
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) |
(fma.f64 y (fma.f64 y x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/9 binary64) x)) |
(fma.f64 y y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
x |
(fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(*.f64 (-.f64 y #s(literal -1 binary64)) x) |
(fma.f64 y x x) |
(-.f64 y #s(literal -1 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.19140625 | (*.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| accuracy | 1.1453384176664316 | (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) | |
| accuracy | 5.219935279676 | (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) | |
| accuracy | 19.08124449517763 | (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 y #s(literal 1 binary64)) x) | |
| accuracy | 0.13671875 | (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) | |
| accuracy | 0.33203125 | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) | |
| accuracy | 6.804007742355575 | (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x) | |
| accuracy | 0.17578125 | (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) | |
| accuracy | 0.30859375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.33203125 | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| accuracy | 39.49477869255959 | #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) | |
| accuracy | 0 | (neg.f64 (sqrt.f64 x)) | |
| accuracy | 0.27734375 | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) | |
| accuracy | 23.581623067393988 | #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) | |
| accuracy | 33.11163762190037 | #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x))) | |
| accuracy | 0.09375 | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| accuracy | 0.2265625 | (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) | |
| accuracy | 0.30859375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.34212875976844204 | (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
| 89.0ms | 214× | 0 | valid |
| 66.0ms | 16× | 2 | valid |
| 13.0ms | 24× | 1 | valid |
| 2.0ms | 2× | 3 | valid |
Compiled 593 to 87 computations (85.3% saved)
ival-add: 70.0ms (47.4% of total)ival-mult: 33.0ms (22.3% of total)ival-sub: 22.0ms (14.9% of total)const: 8.0ms (5.4% of total)ival-div: 6.0ms (4.1% of total)adjust: 4.0ms (2.7% of total)ival-sqrt: 2.0ms (1.4% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
(sqrt.f64 x) |
(*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) |
#s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
(neg.f64 (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
#s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x)) |
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) |
(*.f64 (-.f64 y #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ 1/3 x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(sqrt x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 1/9 (sqrt (/ 1 x))) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x) |
(* -1 (sqrt x)) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
1/3 |
(+ 1/3 (* 3 (* x (- y 1)))) |
(+ 1/9 (* 1/9 y)) |
(+ 1/9 (+ (* 1/9 y) (* x (- (pow y 2) 1)))) |
(* x (+ 1 y)) |
(* 3 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* 1/9 y)) (+ 1 y)))) |
(/ (+ (* 3 (* (sqrt x) (/ (+ 1/9 (* 1/9 y)) (+ 1 y)))) (* 3 (* (sqrt (pow x 3)) (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))) x) |
(* 3 (* (sqrt x) (+ 1/9 (* 1/9 y)))) |
(+ (* 3 (* (sqrt x) (+ 1/9 (* 1/9 y)))) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))) |
(* x (- y 1)) |
(* (sqrt x) (+ 1/9 (* 1/9 y))) |
(+ (* (sqrt x) (+ 1/9 (* 1/9 y))) (* (sqrt (pow x 3)) (- (pow y 2) 1))) |
(* 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 y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(* 3 (* (sqrt x) y)) |
(* 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))))) |
(* (sqrt x) (- y 1)) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3)))))) |
(* 3 (- y 1)) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(* 3 (* x (- y 1))) |
(* x (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))) |
(* x (- (pow y 2) 1)) |
(* x (- (+ (* 1/9 (/ y x)) (+ (* 1/9 (/ 1 x)) (pow y 2))) 1)) |
(* 3 (* (sqrt x) (/ (- (pow y 2) 1) (+ 1 y)))) |
(* x (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (* 3 (* (sqrt (/ 1 (pow x 3))) (+ (* 1/9 (/ y (+ 1 y))) (* 1/9 (/ 1 (+ 1 y)))))))) |
(* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1))) |
(* (pow x 2) (+ (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1))) (* 3 (* (sqrt (/ 1 (pow x 3))) (+ 1/9 (* 1/9 y)))))) |
(* (sqrt (pow x 3)) (- (pow y 2) 1)) |
(* (pow x 2) (+ (* (sqrt (/ 1 x)) (- (pow y 2) 1)) (* (sqrt (/ 1 (pow x 3))) (+ 1/9 (* 1/9 y))))) |
(* -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) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* 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) (- 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))))))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* -3 (- y 1)) (* 1/3 (/ 1 x))))) |
(* -1 (* x (+ (* -1 (- (pow y 2) 1)) (* -1 (/ (+ 1/9 (* 1/9 y)) x))))) |
(* -3 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))) |
(* -1 (* x (+ (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))) (* 3 (* (sqrt (/ 1 (pow x 3))) (/ (* (pow (sqrt -1) 2) (+ 1/9 (* 1/9 y))) (+ 1 y))))))) |
(* -3 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))) |
(* (pow x 2) (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))) (* -3 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (+ 1/9 (* 1/9 y))))))) |
(* -1 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))) (* -1 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (+ 1/9 (* 1/9 y))))))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* 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)))) |
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) |
(+ (* (sqrt x) y) (* (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) |
(/ (+ 1/3 (* -3 x)) x) |
(+ -3 (+ (* 3 y) (* 1/3 (/ 1 x)))) |
(+ 1/3 (* -3 x)) |
(+ 1/3 (+ (* -3 x) (* 3 (* x y)))) |
(+ 1/9 (* -1 x)) |
(+ 1/9 (+ (* -1 x) (* 1/9 y))) |
(+ 1/9 (+ (* -1 x) (* y (+ 1/9 (* x y))))) |
x |
(+ x (* x y)) |
(* 3 (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x))))) |
(* 3 (* (sqrt x) (+ 1/9 (* -1 x)))) |
(+ (* 1/3 (* (sqrt x) y)) (* 3 (* (sqrt x) (+ 1/9 (* -1 x))))) |
(+ (* 3 (* (sqrt x) (+ 1/9 (* -1 x)))) (* y (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))) |
(* -1 x) |
(+ (* -1 x) (* x y)) |
(* (sqrt x) (+ 1/9 (* -1 x))) |
(+ (* 1/9 (* (sqrt x) y)) (* (sqrt x) (+ 1/9 (* -1 x)))) |
(+ (* y (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y))) (* (sqrt x) (+ 1/9 (* -1 x)))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* 3 (* x y)) |
(* y (+ (* -3 (/ x y)) (+ (* 3 x) (* 1/3 (/ 1 y))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* 1/9 (/ 1 y)))) |
(* (pow y 2) (+ x (+ (* -1 (/ x (pow y 2))) (+ (/ 1/9 (pow y 2)) (* 1/9 (/ 1 y)))))) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y))))) |
(* y (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 2)))) (* 3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y)))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 3)))) (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 2)))) (* 3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y))))))) |
(* 3 (* (sqrt (pow x 3)) (pow y 2))) |
(* (pow y 2) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))) |
(* (pow y 2) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (+ (* 3 (sqrt (pow x 3))) (* 3 (* (sqrt x) (/ (+ 1/9 (* -1 x)) (pow y 2))))))) |
(* y (+ x (* -1 (/ x y)))) |
(* (sqrt (pow x 3)) (pow y 2)) |
(* (pow y 2) (+ (sqrt (pow x 3)) (* 1/9 (* (sqrt x) (/ 1 y))))) |
(* (pow y 2) (+ (sqrt (pow x 3)) (+ (* 1/9 (* (sqrt x) (/ 1 y))) (* (sqrt x) (/ (+ 1/9 (* -1 x)) (pow y 2)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (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 (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ 1/3 (* -3 x)) y))))) |
(* (pow y 2) (+ x (* -1 (/ (- (* -1 (/ (+ 1/9 (* -1 x)) y)) 1/9) y)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))) y))) (* 3 (* (sqrt (/ 1 x)) (- 1/9 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -3 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))) y))) (* 3 (* (sqrt (/ 1 x)) (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x)))))) y)) (* 3 (* (sqrt (/ 1 x)) (- 1/9 x)))) y))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (+ 1/9 (* -1 x)) y))) (* -1/3 (sqrt x))) y)) (* 3 (sqrt (pow x 3))))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* (pow y 2) (+ (sqrt (pow x 3)) (* -1 (/ (+ (* -1 (* (sqrt x) (/ (+ 1/9 (* -1 x)) y))) (* -1/9 (sqrt x))) y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | x | @ | -inf | ((+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (+ y (/ 1/9 x)) 3) (sqrt x) (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (* (- (/ 1/9 x) 1) (sqrt x)) (neg (sqrt x)) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (- (+ y (/ 1/9 x)) 1) (/ 1/9 x) (/ (+ (* (* (- y 1) x) 3) 1/3) x) (+ (* (* (- y 1) x) 3) 1/3) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (* (- y -1) x) (/ (* (* (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (sqrt x)) 3) (* (- y -1) x)) (* (* (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (sqrt x)) 3) (* (- y 1) x) (* (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (sqrt x))) |
| 5.0ms | x | @ | inf | ((+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (+ y (/ 1/9 x)) 3) (sqrt x) (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (* (- (/ 1/9 x) 1) (sqrt x)) (neg (sqrt x)) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (- (+ y (/ 1/9 x)) 1) (/ 1/9 x) (/ (+ (* (* (- y 1) x) 3) 1/3) x) (+ (* (* (- y 1) x) 3) 1/3) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (* (- y -1) x) (/ (* (* (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (sqrt x)) 3) (* (- y -1) x)) (* (* (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (sqrt x)) 3) (* (- y 1) x) (* (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (sqrt x))) |
| 4.0ms | x | @ | 0 | ((+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (+ y (/ 1/9 x)) 3) (sqrt x) (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (* (- (/ 1/9 x) 1) (sqrt x)) (neg (sqrt x)) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (- (+ y (/ 1/9 x)) 1) (/ 1/9 x) (/ (+ (* (* (- y 1) x) 3) 1/3) x) (+ (* (* (- y 1) x) 3) 1/3) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (* (- y -1) x) (/ (* (* (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (sqrt x)) 3) (* (- y -1) x)) (* (* (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (sqrt x)) 3) (* (- y 1) x) (* (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (sqrt x))) |
| 3.0ms | y | @ | -inf | ((+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (+ y (/ 1/9 x)) 3) (sqrt x) (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (* (- (/ 1/9 x) 1) (sqrt x)) (neg (sqrt x)) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (- (+ y (/ 1/9 x)) 1) (/ 1/9 x) (/ (+ (* (* (- y 1) x) 3) 1/3) x) (+ (* (* (- y 1) x) 3) 1/3) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (* (- y -1) x) (/ (* (* (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (sqrt x)) 3) (* (- y -1) x)) (* (* (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (sqrt x)) 3) (* (- y 1) x) (* (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (sqrt x))) |
| 3.0ms | y | @ | 0 | ((+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (+ y (/ 1/9 x)) 3) (sqrt x) (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (* (- (/ 1/9 x) 1) (sqrt x)) (neg (sqrt x)) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (- (+ y (/ 1/9 x)) 1) (/ 1/9 x) (/ (+ (* (* (- y 1) x) 3) 1/3) x) (+ (* (* (- y 1) x) 3) 1/3) (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (* (- (+ y (/ 1/9 x)) 1) 3) (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (* (- y -1) x) (/ (* (* (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (sqrt x)) 3) (* (- y -1) x)) (* (* (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (sqrt x)) 3) (* (- y 1) x) (* (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (sqrt x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 443 | 2088 |
| 0 | 1681 | 1966 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ 1/3 x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(sqrt x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 1/9 (sqrt (/ 1 x))) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x) |
(* -1 (sqrt x)) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
1/3 |
(+ 1/3 (* 3 (* x (- y 1)))) |
(+ 1/9 (* 1/9 y)) |
(+ 1/9 (+ (* 1/9 y) (* x (- (pow y 2) 1)))) |
(* x (+ 1 y)) |
(* 3 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* 1/9 y)) (+ 1 y)))) |
(/ (+ (* 3 (* (sqrt x) (/ (+ 1/9 (* 1/9 y)) (+ 1 y)))) (* 3 (* (sqrt (pow x 3)) (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))) x) |
(* 3 (* (sqrt x) (+ 1/9 (* 1/9 y)))) |
(+ (* 3 (* (sqrt x) (+ 1/9 (* 1/9 y)))) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))) |
(* x (- y 1)) |
(* (sqrt x) (+ 1/9 (* 1/9 y))) |
(+ (* (sqrt x) (+ 1/9 (* 1/9 y))) (* (sqrt (pow x 3)) (- (pow y 2) 1))) |
(* 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 y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(* 3 (* (sqrt x) y)) |
(* 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))))) |
(* (sqrt x) (- y 1)) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3)))))) |
(* 3 (- y 1)) |
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(* 3 (* x (- y 1))) |
(* x (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))) |
(* x (- (pow y 2) 1)) |
(* x (- (+ (* 1/9 (/ y x)) (+ (* 1/9 (/ 1 x)) (pow y 2))) 1)) |
(* 3 (* (sqrt x) (/ (- (pow y 2) 1) (+ 1 y)))) |
(* x (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (* 3 (* (sqrt (/ 1 (pow x 3))) (+ (* 1/9 (/ y (+ 1 y))) (* 1/9 (/ 1 (+ 1 y)))))))) |
(* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1))) |
(* (pow x 2) (+ (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1))) (* 3 (* (sqrt (/ 1 (pow x 3))) (+ 1/9 (* 1/9 y)))))) |
(* (sqrt (pow x 3)) (- (pow y 2) 1)) |
(* (pow x 2) (+ (* (sqrt (/ 1 x)) (- (pow y 2) 1)) (* (sqrt (/ 1 (pow x 3))) (+ 1/9 (* 1/9 y))))) |
(* -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) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* 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) (- 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))))))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* -3 (- y 1)) (* 1/3 (/ 1 x))))) |
(* -1 (* x (+ (* -1 (- (pow y 2) 1)) (* -1 (/ (+ 1/9 (* 1/9 y)) x))))) |
(* -3 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))) |
(* -1 (* x (+ (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))) (* 3 (* (sqrt (/ 1 (pow x 3))) (/ (* (pow (sqrt -1) 2) (+ 1/9 (* 1/9 y))) (+ 1 y))))))) |
(* -3 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))) |
(* (pow x 2) (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))) (* -3 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (+ 1/9 (* 1/9 y))))))) |
(* -1 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))) (* -1 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (+ 1/9 (* 1/9 y))))))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* 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)))) |
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) |
(+ (* (sqrt x) y) (* (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) |
(/ (+ 1/3 (* -3 x)) x) |
(+ -3 (+ (* 3 y) (* 1/3 (/ 1 x)))) |
(+ 1/3 (* -3 x)) |
(+ 1/3 (+ (* -3 x) (* 3 (* x y)))) |
(+ 1/9 (* -1 x)) |
(+ 1/9 (+ (* -1 x) (* 1/9 y))) |
(+ 1/9 (+ (* -1 x) (* y (+ 1/9 (* x y))))) |
x |
(+ x (* x y)) |
(* 3 (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x))))) |
(* 3 (* (sqrt x) (+ 1/9 (* -1 x)))) |
(+ (* 1/3 (* (sqrt x) y)) (* 3 (* (sqrt x) (+ 1/9 (* -1 x))))) |
(+ (* 3 (* (sqrt x) (+ 1/9 (* -1 x)))) (* y (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))) |
(* -1 x) |
(+ (* -1 x) (* x y)) |
(* (sqrt x) (+ 1/9 (* -1 x))) |
(+ (* 1/9 (* (sqrt x) y)) (* (sqrt x) (+ 1/9 (* -1 x)))) |
(+ (* y (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y))) (* (sqrt x) (+ 1/9 (* -1 x)))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* 3 (* x y)) |
(* y (+ (* -3 (/ x y)) (+ (* 3 x) (* 1/3 (/ 1 y))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* 1/9 (/ 1 y)))) |
(* (pow y 2) (+ x (+ (* -1 (/ x (pow y 2))) (+ (/ 1/9 (pow y 2)) (* 1/9 (/ 1 y)))))) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y))))) |
(* y (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 2)))) (* 3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y)))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 3)))) (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 2)))) (* 3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y))))))) |
(* 3 (* (sqrt (pow x 3)) (pow y 2))) |
(* (pow y 2) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))) |
(* (pow y 2) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (+ (* 3 (sqrt (pow x 3))) (* 3 (* (sqrt x) (/ (+ 1/9 (* -1 x)) (pow y 2))))))) |
(* y (+ x (* -1 (/ x y)))) |
(* (sqrt (pow x 3)) (pow y 2)) |
(* (pow y 2) (+ (sqrt (pow x 3)) (* 1/9 (* (sqrt x) (/ 1 y))))) |
(* (pow y 2) (+ (sqrt (pow x 3)) (+ (* 1/9 (* (sqrt x) (/ 1 y))) (* (sqrt x) (/ (+ 1/9 (* -1 x)) (pow y 2)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (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 (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ 1/3 (* -3 x)) y))))) |
(* (pow y 2) (+ x (* -1 (/ (- (* -1 (/ (+ 1/9 (* -1 x)) y)) 1/9) y)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))) y))) (* 3 (* (sqrt (/ 1 x)) (- 1/9 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -3 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))) y))) (* 3 (* (sqrt (/ 1 x)) (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x)))))) y)) (* 3 (* (sqrt (/ 1 x)) (- 1/9 x)))) y))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (+ 1/9 (* -1 x)) y))) (* -1/3 (sqrt x))) y)) (* 3 (sqrt (pow x 3))))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* (pow y 2) (+ (sqrt (pow x 3)) (* -1 (/ (+ (* -1 (* (sqrt x) (/ (+ 1/9 (* -1 x)) y))) (* -1/9 (sqrt x))) y)))) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) x (*.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))) x) |
(/.f64 (fma.f64 (*.f64 y x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x) |
(sqrt x) |
(sqrt.f64 x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) y (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* 1/9 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/9 binary64))) x) |
(/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/9 binary64) (neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x) |
(* -1 (sqrt x)) |
(neg.f64 (sqrt.f64 x)) |
(/ (+ 1/3 (* 3 (* x (- y 1)))) x) |
(/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1/9 binary64)) x) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* 3 (* x (- y 1)))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) |
(+ 1/9 (* 1/9 y)) |
(fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) |
(+ 1/9 (+ (* 1/9 y) (* x (- (pow y 2) 1)))) |
(+.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (*.f64 #s(literal 1/9 binary64) y)) #s(literal 1/9 binary64)) |
(* x (+ 1 y)) |
(*.f64 (+.f64 #s(literal 1 binary64) y) x) |
(* 3 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* 1/9 y)) (+ 1 y)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) (+.f64 #s(literal 1 binary64) y))) |
(/ (+ (* 3 (* (sqrt x) (/ (+ 1/9 (* 1/9 y)) (+ 1 y)))) (* 3 (* (sqrt (pow x 3)) (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))) x) |
(/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 x) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))) x) |
(* 3 (* (sqrt x) (+ 1/9 (* 1/9 y)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) |
(+ (* 3 (* (sqrt x) (+ 1/9 (* 1/9 y)))) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))) |
(*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) (sqrt.f64 x)))) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* (sqrt x) (+ 1/9 (* 1/9 y))) |
(*.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) (sqrt.f64 x)) |
(+ (* (sqrt x) (+ 1/9 (* 1/9 y))) (* (sqrt (pow x 3)) (- (pow y 2) 1))) |
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) (sqrt.f64 x))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 #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 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64)))) x) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.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 1))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(* (sqrt x) (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 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 1/9 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/9 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* 3 (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) #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)) |
(* 3 (* x (- y 1))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64)) |
(* x (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) |
(* x (- (pow y 2) 1)) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
(* x (- (+ (* 1/9 (/ y x)) (+ (* 1/9 (/ 1 x)) (pow y 2))) 1)) |
(*.f64 (-.f64 (fma.f64 (/.f64 y x) #s(literal 1/9 binary64) (fma.f64 y y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)) x) |
(* 3 (* (sqrt x) (/ (- (pow y 2) 1) (+ 1 y)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (* 3 (* (sqrt (/ 1 (pow x 3))) (+ (* 1/9 (/ y (+ 1 y))) (* 1/9 (/ 1 (+ 1 y)))))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) (+.f64 #s(literal 1 binary64) y))))) x) |
(* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) |
(* (pow x 2) (+ (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1))) (* 3 (* (sqrt (/ 1 (pow x 3))) (+ 1/9 (* 1/9 y)))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 x x)) |
(* (sqrt (pow x 3)) (- (pow y 2) 1)) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 2) (+ (* (sqrt (/ 1 x)) (- (pow y 2) 1)) (* (sqrt (/ 1 (pow x 3))) (+ 1/9 (* 1/9 y))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -3 binary64)))) |
(* -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 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -3 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/3 binary64)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/9 binary64)))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/9 binary64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -1 (* x (- (* -3 (- y 1)) (* 1/3 (/ 1 x))))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1 (* x (+ (* -1 (- (pow y 2) 1)) (* -1 (/ (+ 1/9 (* 1/9 y)) x))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) x) #s(literal -1 binary64) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))) |
(* -3 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y)))) |
(* -1 (* x (+ (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))) (* 3 (* (sqrt (/ 1 (pow x 3))) (/ (* (pow (sqrt -1) 2) (+ 1/9 (* 1/9 y))) (+ 1 y))))))) |
(*.f64 (neg.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))) |
(* -3 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(* (pow x 2) (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))) (* -3 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (+ 1/9 (* 1/9 y))))))) |
(*.f64 (*.f64 #s(literal -3 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 y y #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))))) (*.f64 x x)) |
(* -1 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))) (* -1 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (+ 1/9 (* 1/9 y))))))) |
(*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 y y #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))))) (*.f64 x 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 #s(literal -3 binary64) (sqrt.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))) |
(+ (* 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 (*.f64 (sqrt.f64 x) y) #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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))) |
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 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))) |
(*.f64 #s(literal 3 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(- (* 1/9 (/ 1 x)) 1) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/ (+ 1/3 (* -3 x)) x) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x) |
(+ -3 (+ (* 3 y) (* 1/3 (/ 1 x)))) |
(+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)) |
(+ 1/3 (* -3 x)) |
(fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) |
(+ 1/3 (+ (* -3 x) (* 3 (* x y)))) |
(+.f64 (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) x)) #s(literal 1/3 binary64)) |
(+ 1/9 (* -1 x)) |
(-.f64 #s(literal 1/9 binary64) x) |
(+ 1/9 (+ (* -1 x) (* 1/9 y))) |
(+.f64 (fma.f64 #s(literal 1/9 binary64) y (neg.f64 x)) #s(literal 1/9 binary64)) |
(+ 1/9 (+ (* -1 x) (* y (+ 1/9 (* x y))))) |
(+.f64 (fma.f64 (fma.f64 y x #s(literal 1/9 binary64)) y (neg.f64 x)) #s(literal 1/9 binary64)) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(* 3 (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x))))) |
(*.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 x) y (*.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* 3 (* (sqrt x) (+ 1/9 (* -1 x)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1/9 binary64) x)) |
(+ (* 1/3 (* (sqrt x) y)) (* 3 (* (sqrt x) (+ 1/9 (* -1 x))))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64))) |
(+ (* 3 (* (sqrt x) (+ 1/9 (* -1 x)))) (* y (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) y (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) y (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1/9 binary64) x))) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* x y)) |
(fma.f64 y x (neg.f64 x)) |
(* (sqrt x) (+ 1/9 (* -1 x))) |
(*.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x)) |
(+ (* 1/9 (* (sqrt x) y)) (* (sqrt x) (+ 1/9 (* -1 x)))) |
(fma.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/9 binary64)) y)) |
(+ (* y (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y))) (* (sqrt x) (+ 1/9 (* -1 x)))) |
(fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y (*.f64 (sqrt.f64 x) #s(literal 1/9 binary64))) y (*.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) y) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) y) #s(literal 3 binary64)) y) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) y) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x) (sqrt.f64 x))) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x) (sqrt.f64 x)) y) |
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64) #s(literal 3 binary64)) y) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(*.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* y (+ (* -3 (/ x y)) (+ (* 3 x) (* 1/3 (/ 1 y))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) x (/.f64 #s(literal 1/3 binary64) y))) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (* 1/9 (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) y) x) (*.f64 y y)) |
(* (pow y 2) (+ x (+ (* -1 (/ x (pow y 2))) (+ (/ 1/9 (pow y 2)) (* 1/9 (/ 1 y)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 y y)) (/.f64 #s(literal 1/9 binary64) y))) x) (*.f64 y y)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) x) y) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 x) (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) y) |
(* y (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 2)))) (* 3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y)))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) y) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 3)))) (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt (/ 1 x)) (/ (+ x (* -1 x)) (pow y 2)))) (* 3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) x) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) y) |
(* 3 (* (sqrt (pow x 3)) (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) |
(* (pow y 2) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (*.f64 y y)) |
(* (pow y 2) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (+ (* 3 (sqrt (pow x 3))) (* 3 (* (sqrt x) (/ (+ 1/9 (* -1 x)) (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) (*.f64 y y)) (sqrt.f64 x))))) (*.f64 y y)) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) x) y) |
(* (sqrt (pow x 3)) (pow y 2)) |
(*.f64 (*.f64 y y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (pow y 2) (+ (sqrt (pow x 3)) (* 1/9 (* (sqrt x) (/ 1 y))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y)) |
(* (pow y 2) (+ (sqrt (pow x 3)) (+ (* 1/9 (* (sqrt x) (/ 1 y))) (* (sqrt x) (/ (+ 1/9 (* -1 x)) (pow y 2)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) (*.f64 y y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) y))) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x) (sqrt.f64 x))) y)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(neg.f64 (*.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (neg.f64 (sqrt.f64 x))) y)) |
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal -3 binary64) #s(literal -3 binary64)) y)) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal -1 binary64) #s(literal -1 binary64)) y)) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal -1 binary64) #s(literal -3 binary64)) y)) |
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ 1/3 (* -3 x)) y))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -3 binary64) x (neg.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) y))) y)) |
(* (pow y 2) (+ x (* -1 (/ (- (* -1 (/ (+ 1/9 (* -1 x)) y)) 1/9) y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64) #s(literal -1/9 binary64)) y) #s(literal -1 binary64) x) (*.f64 y y)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x y) x)) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt (/ 1 x)) (/ (- 1/9 x) y)))))) |
(neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) (+.f64 (sqrt.f64 x) (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))) y))) (* 3 (* (sqrt (/ 1 x)) (- 1/9 x)))) y))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) x)) (neg.f64 (-.f64 #s(literal 1/9 binary64) x))) y))) y))) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -3 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x))) y))) (* 3 (* (sqrt (/ 1 x)) (- (* -1 (+ 1/9 (* -1 x))) (* -1 (- 1/9 x)))))) y)) (* 3 (* (sqrt (/ 1 x)) (- 1/9 x)))) y))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/9 binary64) x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) x)) (neg.f64 (-.f64 #s(literal 1/9 binary64) x))) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) x)) (neg.f64 (-.f64 #s(literal 1/9 binary64) x))) y))) y))) y))) y)) |
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (+ 1/9 (* -1 x)) y))) (* -1/3 (sqrt x))) y)) (* 3 (sqrt (pow x 3))))) |
(*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) #s(literal -3 binary64) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) y))) (*.f64 y y)) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 x y)) y)) |
(* (pow y 2) (+ (sqrt (pow x 3)) (* -1 (/ (+ (* -1 (* (sqrt x) (/ (+ 1/9 (* -1 x)) y))) (* -1/9 (sqrt x))) y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 #s(literal 1/9 binary64) x) y))) y) #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 269 |
| 0 | 73 | 269 |
| 1 | 267 | 267 |
| 2 | 2130 | 267 |
| 0 | 8303 | 264 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
(sqrt.f64 x) |
(*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) |
#s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
(neg.f64 (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
#s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
#s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x)) |
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) |
(*.f64 (-.f64 y #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) |
| Outputs |
|---|
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(/.f64 (*.f64 (sqrt.f64 x) (-.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/729 binary64) (pow.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (pow.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (*.f64 #s(literal 1/9 binary64) y)) (sqrt.f64 x) (*.f64 #s(literal 1/9 binary64) (sqrt.f64 x))) |
(fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (sqrt.f64 x) (*.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) (sqrt.f64 x))) |
(fma.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (*.f64 #s(literal 1/9 binary64) y)) (*.f64 (sqrt.f64 x) #s(literal 1/9 binary64))) |
(fma.f64 (sqrt.f64 x) (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)))) |
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (fma.f64 y y #s(literal -1 binary64)) x))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (*.f64 #s(literal 1/9 binary64) y)) (sqrt.f64 x)) (*.f64 #s(literal 1/9 binary64) (sqrt.f64 x))) |
(+.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) (sqrt.f64 x))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (sqrt.f64 x))) |
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (*.f64 #s(literal 1/9 binary64) y))) (*.f64 (sqrt.f64 x) #s(literal 1/9 binary64))) |
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)))) |
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (*.f64 (sqrt.f64 x) (*.f64 (fma.f64 y y #s(literal -1 binary64)) x))) |
Compiled 22 044 to 2 863 computations (87% saved)
33 alts after pruning (27 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 674 | 16 | 690 |
| Fresh | 15 | 11 | 26 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 692 | 33 | 725 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| ✓ | 99.4% | (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
| 62.8% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) | |
| 61.6% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))) | |
| 44.4% | (/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (-.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) | |
| 11.6% | (/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (*.f64 (*.f64 y y) x)) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) | |
| 59.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) #s(literal 3 binary64)) (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)))) | |
| 99.4% | (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| 99.5% | (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) | |
| 60.0% | (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x))) | |
| 99.4% | (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| ✓ | 99.5% | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
| 47.0% | (*.f64 (*.f64 #s(approx (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 37.8% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| ✓ | 37.8% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
| 61.6% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| 94.8% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) | |
| 62.7% | (*.f64 #s(approx (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x)) (*.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) | |
| 25.7% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (/.f64 (neg.f64 x) (+.f64 #s(literal 0 binary64) (sqrt.f64 x))))) #s(literal 3 binary64)) | |
| ✓ | 25.7% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
| 94.7% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) | |
| 44.1% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64)) x (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x))) (sqrt.f64 x)) | |
| 62.7% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))) x)) (sqrt.f64 x)) | |
| 33.5% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) (*.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (sqrt.f64 x)) | |
| 37.8% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) | |
| 86.8% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) #s(approx (/ (+ (* (* (- y 1) x) 3) 1/3) x) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y)) y))) (sqrt.f64 x)) | |
| 37.8% | #s(approx (/ (* (* (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (sqrt x)) 3) (* (- y -1) x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) (+.f64 #s(literal 1 binary64) y)))) | |
| 37.9% | #s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| 61.5% | #s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) | |
| 37.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) (sqrt (pow x 3))) 3) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| ✓ | 38.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| 38.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) | |
| ✓ | 38.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
Compiled 2 585 to 957 computations (63% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.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)) (-.f64 y #s(literal 1 binary64)))) |
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64)))) |
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.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 (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) (sqrt (pow x 3))) 3) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (/.f64 (neg.f64 x) (+.f64 #s(literal 0 binary64) (sqrt.f64 x))))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 #s(approx (- (/ 1/9 x) 1) (/.f64 (-.f64 #s(literal 1/9 binary64) x) x)) (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x)) (*.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #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)) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) (*.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64)) (sqrt.f64 x)) |
(fma.f64 #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 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 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1/9 binary64)) x)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(approx (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)) #s(literal 3 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 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (-.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) #s(approx (/ (+ (* (* (- y 1) x) 3) 1/3) x) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y)) y))) (sqrt.f64 x)) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (*.f64 (*.f64 y y) x)) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) |
(fma.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
#s(approx (/ (* (* (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (sqrt x)) 3) (* (- y -1) x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
(fma.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64)) x (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x))) (sqrt.f64 x)) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 3 binary64) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (-.f64 y #s(literal -1 binary64)))) (sqrt.f64 x)) #s(literal 3 binary64)) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x) (sqrt.f64 x))) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x)))) y)) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) #s(literal 3 binary64)) (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) x (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64))) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #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)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (sqrt.f64 (*.f64 x #s(literal 1/9 binary64)))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #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))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) |
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64) (*.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 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
3 calls:
| 38.0ms | (*.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))) |
| 30.0ms | x |
| 20.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.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)) (-.f64 y #s(literal 1 binary64)))) |
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64)))) |
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.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 (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) (sqrt (pow x 3))) 3) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (/.f64 (neg.f64 x) (+.f64 #s(literal 0 binary64) (sqrt.f64 x))))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 #s(approx (- (/ 1/9 x) 1) (/.f64 (-.f64 #s(literal 1/9 binary64) x) x)) (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x)) (*.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #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)) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) (*.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64)) (sqrt.f64 x)) |
(fma.f64 #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 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 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1/9 binary64)) x)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(approx (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)) #s(literal 3 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 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (-.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) #s(approx (/ (+ (* (* (- y 1) x) 3) 1/3) x) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y)) y))) (sqrt.f64 x)) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (*.f64 (*.f64 y y) x)) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) |
(fma.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
#s(approx (/ (* (* (+ (* (+ (* y y) -1) x) (+ (* 1/9 y) 1/9)) (sqrt x)) 3) (* (- y -1) x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 #s(literal 1/9 binary64) y #s(literal 1/9 binary64)) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
(fma.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64)) x (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x))) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
3 calls:
| 22.0ms | (*.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 |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.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)) (-.f64 y #s(literal 1 binary64)))) |
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64)))) |
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.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 (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) (sqrt (pow x 3))) 3) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (/.f64 (neg.f64 x) (+.f64 #s(literal 0 binary64) (sqrt.f64 x))))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 #s(approx (- (/ 1/9 x) 1) (/.f64 (-.f64 #s(literal 1/9 binary64) x) x)) (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x)) (*.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #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)) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) (*.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64)) (sqrt.f64 x)) |
(fma.f64 #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))) |
| Outputs |
|---|
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
3 calls:
| 42.0ms | (*.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))) |
| 9.0ms | y |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | y |
| 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))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.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)) (-.f64 y #s(literal 1 binary64)))) |
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64)))) |
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.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 (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) (sqrt (pow x 3))) 3) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (/.f64 (neg.f64 x) (+.f64 #s(literal 0 binary64) (sqrt.f64 x))))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 #s(approx (- (/ 1/9 x) 1) (/.f64 (-.f64 #s(literal 1/9 binary64) x) x)) (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x)) (*.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #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)) |
| 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:
| 7.0ms | (*.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))) |
| 7.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | y |
| 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))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.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)) (-.f64 y #s(literal 1 binary64)))) |
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64)))) |
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.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 (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) (sqrt (pow x 3))) 3) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (/.f64 (neg.f64 x) (+.f64 #s(literal 0 binary64) (sqrt.f64 x))))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 #s(approx (- (/ 1/9 x) 1) (/.f64 (-.f64 #s(literal 1/9 binary64) x) x)) (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x)) (*.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x)) (*.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)) |
3 calls:
| 11.0ms | (*.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))) |
| 7.0ms | y |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.6% | 2 | x |
| 91.3% | 3 | y |
| 92.5% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.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)) (-.f64 y #s(literal 1 binary64)))) |
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64)))) |
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.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 (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) (sqrt (pow x 3))) 3) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (/.f64 (neg.f64 x) (+.f64 #s(literal 0 binary64) (sqrt.f64 x))))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 #s(approx (- (/ 1/9 x) 1) (/.f64 (-.f64 #s(literal 1/9 binary64) x) x)) (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
1 calls:
| 7.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 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 |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.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)) (-.f64 y #s(literal 1 binary64)))) |
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64)))) |
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.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 (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (* (- y 1) (sqrt (pow x 3))) 3) (* (sqrt x) 1/3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* y (sqrt x)) 3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (/.f64 (neg.f64 x) (+.f64 #s(literal 0 binary64) (sqrt.f64 x))))) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.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 (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
1 calls:
| 27.0ms | (*.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 |
|---|---|---|
| 91.5% | 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 |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.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)) (-.f64 y #s(literal 1 binary64)))) |
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64)))) |
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
3 calls:
| 3.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.6% | 1 | x |
| 61.6% | 1 | y |
| 61.6% | 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 |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.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)) (-.f64 y #s(literal 1 binary64)))) |
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) 3) (sqrt x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64)))) |
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) |
3 calls:
| 3.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.5% | 1 | y |
| 61.5% | 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))) |
| 61.5% | 1 | x |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.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)) |
3 calls:
| 29.0ms | x |
| 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 | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.8% | 3 | y |
| 44.3% | 2 | x |
| 54.3% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.8% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
3 calls:
| 1.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 25.7% | 1 | x |
| 25.7% | 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))) |
| 25.7% | 1 | y |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.8428133816575263e+152 | 1.691620117523222e+153 |
| 0.0ms | -77757775.35360813 | -67431195.97517477 |
Compiled 17 to 17 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.8428133816575263e+152 | 1.691620117523222e+153 |
| 0.0ms | -77757775.35360813 | -67431195.97517477 |
Compiled 17 to 17 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.8428133816575263e+152 | 1.691620117523222e+153 |
| 0.0ms | -35.00517282225001 | 49.80731033729761 |
Compiled 17 to 17 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.009862164739400103 | 0.19124706146195725 |
| 23.0ms | -604530764.7412997 | -640.0004575881397 |
| 24.0ms | 256× | 0 | valid |
Compiled 753 to 593 computations (21.2% saved)
ival-mult: 4.0ms (36.5% of total)ival-div: 2.0ms (18.3% of total)ival-sqrt: 2.0ms (18.3% of total)ival-sub: 1.0ms (9.1% of total)ival-add: 1.0ms (9.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.009862164739400103 | 0.19124706146195725 |
| 1.0ms | -604530764.7412997 | -640.0004575881397 |
Compiled 753 to 593 computations (21.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 570 |
| 1 | 143 | 570 |
| 2 | 154 | 570 |
| 3 | 178 | 570 |
| 4 | 224 | 570 |
| 5 | 255 | 570 |
| 6 | 313 | 570 |
| 7 | 454 | 570 |
| 8 | 658 | 570 |
| 9 | 902 | 570 |
| 10 | 1144 | 570 |
| 11 | 1306 | 570 |
| 12 | 1363 | 570 |
| 13 | 1381 | 570 |
| 14 | 1383 | 570 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 y (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 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.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 -70000000 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.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 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (*.f64 #s(approx (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x)) (*.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))) |
(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 -70000000 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.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 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))) x)) (sqrt.f64 x)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -20 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.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 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.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 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -650 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) (if (<=.f64 y #s(literal 3422735716801577/18014398509481984 binary64)) (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.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)))) |
(if (<=.f64 y #s(literal -650 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) (if (<=.f64 y #s(literal 3422735716801577/18014398509481984 binary64)) (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 y (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 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.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 -70000000 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.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 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (*.f64 #s(approx (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x)) (*.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))) |
(if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -70000000 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) (if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (*.f64 #s(approx (* (/ (+ (* 1/9 (- y -1)) (* x (+ (* y y) -1))) (* x (- y -1))) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/9 binary64) 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)))) |
(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 -70000000 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.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 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))) x)) (sqrt.f64 x)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))) |
(if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -70000000 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) (if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) 3) (/.f64 #s(approx (+ (* (* (- y 1) x) 3) 1/3) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))) x)) (sqrt.f64 x)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -20 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.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 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))) |
(if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -20 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) (if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.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 #s(literal 3 binary64) (sqrt.f64 x)) (-.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)) (-.f64 y #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -650 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) (if (<=.f64 y #s(literal 3422735716801577/18014398509481984 binary64)) (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.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)))) |
(if (<=.f64 y #s(literal -650 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) (if (<=.f64 y #s(literal 3422735716801577/18014398509481984 binary64)) (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 211 |
| 0 | 223 | 206 |
| 0 | 214 | 1102 |
| 0 | 770 | 1053 |
| 0 | 40 | 211 |
| 0 | 66 | 210 |
| 1 | 252 | 197 |
| 2 | 2135 | 197 |
| 0 | 8473 | 196 |
| 0 | 12 | 32 |
| 0 | 19 | 32 |
| 1 | 67 | 26 |
| 2 | 542 | 26 |
| 3 | 7235 | 26 |
| 0 | 8065 | 25 |
| 0 | 443 | 2088 |
| 0 | 1681 | 1966 |
| 0 | 336 | 1523 |
| 0 | 1262 | 1454 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
Compiled 1 285 to 664 computations (48.3% saved)
Compiled 1 202 to 274 computations (77.2% saved)
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