
Time bar (total: 4.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 100% | 50% | 0% | 0.1% | 0% | 50% | 0% | 2 |
Compiled 16 to 14 computations (12.5% saved)
| 785.0ms | 8 256× | 0 | valid |
ival-div: 154.0ms (28.8% of total)ival-mult: 152.0ms (28.4% of total)ival-sqrt: 108.0ms (20.2% of total)ival-sub: 99.0ms (18.5% of total)exact: 10.0ms (1.9% of total)ival-true: 5.0ms (0.9% of total)adjust: 3.0ms (0.6% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 9 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| 0 | 0 | - | 0 | - | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 9 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 43.0ms | 512× | 0 | valid |
Compiled 110 to 40 computations (63.6% saved)
ival-div: 10.0ms (38.9% of total)ival-mult: 6.0ms (23.3% of total)ival-sub: 4.0ms (15.6% of total)ival-sqrt: 4.0ms (15.6% of total)exact: 1.0ms (3.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 78 |
| 1 | 59 | 68 |
| 2 | 88 | 64 |
| 3 | 148 | 64 |
| 4 | 367 | 62 |
| 5 | 3337 | 62 |
| 0 | 12 | 14 |
| 0 | 19 | 14 |
| 1 | 29 | 12 |
| 2 | 38 | 12 |
| 3 | 58 | 12 |
| 4 | 153 | 12 |
| 5 | 1079 | 12 |
| 6 | 4993 | 12 |
| 0 | 8019 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
Compiled 14 to 12 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 14 to 12 computations (14.3% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 9 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) | |
| cost-diff | 0 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 46 |
| 0 | 19 | 46 |
| 1 | 29 | 40 |
| 2 | 38 | 40 |
| 3 | 58 | 40 |
| 4 | 153 | 40 |
| 5 | 1079 | 40 |
| 6 | 4993 | 40 |
| 0 | 8019 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 x #s(literal 9 binary64)) |
x |
#s(literal 9 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 9 binary64) x) |
x |
#s(literal 9 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| accuracy | 0.22265625 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.25390625 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) | |
| accuracy | 0.328125 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 22.0ms | 256× | 0 | valid |
Compiled 48 to 14 computations (70.8% saved)
ival-mult: 6.0ms (43.2% of total)ival-div: 3.0ms (21.6% of total)ival-sub: 2.0ms (14.4% of total)ival-sqrt: 2.0ms (14.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
(/ 1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(* 9 x) |
(* 3 (sqrt x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | 0 | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 9.0ms | x | @ | inf | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 3.0ms | x | @ | -inf | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 1.0ms | y | @ | 0 | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 1.0ms | y | @ | inf | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 141 |
| 1 | 122 | 137 |
| 2 | 320 | 136 |
| 3 | 1164 | 136 |
| 0 | 6490 | 129 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(* 9 x) |
(* 3 (sqrt x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
| Outputs |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- x 1/9) x) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 x #s(literal 1/9 binary64)) x) y)) y) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 x #s(literal 1/9 binary64)) x) y)) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 39 |
| 0 | 19 | 39 |
| 1 | 64 | 33 |
| 0 | 588 | 33 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(*.f64 (/.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 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -9 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 9 binary64) x)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (sqrt.f64 x)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (/.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (neg.f64 y))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 y))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) y)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (/.f64 y #s(literal 3 binary64))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(neg.f64 (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
Compiled 1 452 to 252 computations (82.6% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 50 | 14 | 64 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 50 | 15 | 65 |
| Status | Accuracy | Program |
|---|---|---|
| 82.7% | (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) | |
| 82.6% | (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (sqrt.f64 x)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (/.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) | |
| ▶ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| ▶ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
| ✓ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ▶ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
| 99.6% | (-.f64 (-.f64 #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 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 99.6% | (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 58.2% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| ▶ | 71.8% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ▶ | 71.7% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
| 52.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) | |
| 94.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) | |
| 32.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
Compiled 572 to 442 computations (22.7% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) | |
| cost-diff | 0 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| cost-diff | 2 | (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) | |
| cost-diff | 0 | (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) | |
| cost-diff | 0 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| cost-diff | 0 | (*.f64 x #s(literal 9 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) | |
| cost-diff | 0 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 217 |
| 0 | 65 | 223 |
| 1 | 89 | 199 |
| 2 | 111 | 199 |
| 3 | 169 | 199 |
| 4 | 334 | 199 |
| 5 | 1411 | 199 |
| 6 | 5453 | 199 |
| 0 | 8270 | 199 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 x #s(literal 9 binary64)) |
x |
#s(literal 9 binary64) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(/.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(sqrt.f64 x) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/3 binary64) y) |
#s(literal -1/3 binary64) |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
y |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) |
#s(literal 1 binary64) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(literal 9 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(-.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 9 binary64) x) |
x |
#s(literal 9 binary64) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(sqrt.f64 x) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/3 binary64) y) |
#s(literal -1/3 binary64) |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
y |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(literal 9 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| accuracy | 0.22265625 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.25 | (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) | |
| accuracy | 0.328125 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.00390625 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) | |
| accuracy | 0.22265625 | (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| accuracy | 0.328125 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 0.34375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.09375 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.125 | (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) | |
| accuracy | 0.32421875 | (*.f64 #s(literal -1/3 binary64) y) | |
| accuracy | 17.965922475261646 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| accuracy | 0.22265625 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.328125 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 26.52367334835865 | #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.00390625 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) | |
| accuracy | 0.25390625 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) | |
| accuracy | 0.30859375 | (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
| 90.0ms | 256× | 0 | valid |
Compiled 206 to 34 computations (83.5% saved)
ival-div: 27.0ms (44.8% of total)ival-mult: 8.0ms (13.3% of total)ival-sub: 7.0ms (11.6% of total)ival-sqrt: 7.0ms (11.6% of total)const: 6.0ms (10% of total)ival-pow: 3.0ms (5% of total)ival-add: 1.0ms (1.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(*.f64 x #s(literal 9 binary64)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/3 binary64) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(sqrt.f64 x) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
| Outputs |
|---|
(/ 1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(* 9 x) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 3 (sqrt x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(/ (+ x (* -1/3 (* (sqrt x) y))) x) |
(sqrt (/ 1 x)) |
(/ 1 x) |
(sqrt x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 y) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+ (* (* -1/3 y) (sqrt (/ 1 x))) 1) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ 1/9 x)) (/ y (* (sqrt x) 3))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ y (* (sqrt x) 3)) (/ (pow x -1) 9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (pow x -1) (/ (/ y 3) (sqrt x)) (sqrt x) (* (sqrt x) 3)) |
| 3.0ms | x | @ | -inf | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+ (* (* -1/3 y) (sqrt (/ 1 x))) 1) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ 1/9 x)) (/ y (* (sqrt x) 3))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ y (* (sqrt x) 3)) (/ (pow x -1) 9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (pow x -1) (/ (/ y 3) (sqrt x)) (sqrt x) (* (sqrt x) 3)) |
| 1.0ms | x | @ | inf | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+ (* (* -1/3 y) (sqrt (/ 1 x))) 1) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ 1/9 x)) (/ y (* (sqrt x) 3))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ y (* (sqrt x) 3)) (/ (pow x -1) 9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (pow x -1) (/ (/ y 3) (sqrt x)) (sqrt x) (* (sqrt x) 3)) |
| 1.0ms | y | @ | -inf | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+ (* (* -1/3 y) (sqrt (/ 1 x))) 1) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ 1/9 x)) (/ y (* (sqrt x) 3))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ y (* (sqrt x) 3)) (/ (pow x -1) 9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (pow x -1) (/ (/ y 3) (sqrt x)) (sqrt x) (* (sqrt x) 3)) |
| 1.0ms | y | @ | inf | ((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+ (* (* -1/3 y) (sqrt (/ 1 x))) 1) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ 1/9 x)) (/ y (* (sqrt x) 3))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ y (* (sqrt x) 3)) (/ (pow x -1) 9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (pow x -1) (/ (/ y 3) (sqrt x)) (sqrt x) (* (sqrt x) 3)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 222 |
| 1 | 169 | 212 |
| 2 | 477 | 209 |
| 0 | 1834 | 198 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(* 9 x) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 3 (sqrt x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(/ (+ x (* -1/3 (* (sqrt x) y))) x) |
(sqrt (/ 1 x)) |
(/ 1 x) |
(sqrt x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 y) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y)))) |
| Outputs |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- x 1/9) x) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ x (* -1/3 (* (sqrt x) y))) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) x) x) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(sqrt x) |
(sqrt.f64 x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* -1/3 y) |
(*.f64 #s(literal -1/3 binary64) y) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 x #s(literal 1/9 binary64)) x) y)) y) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(*.f64 (neg.f64 y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y))) |
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) y))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 171 |
| 0 | 65 | 177 |
| 1 | 237 | 150 |
| 0 | 1799 | 150 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(*.f64 x #s(literal 9 binary64)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/3 binary64) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(sqrt.f64 x) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x))) |
(neg.f64 (/.f64 #s(literal 1/9 binary64) (neg.f64 x))) |
(neg.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -9 binary64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 9 binary64) x)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (/.f64 y (sqrt.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (neg.f64 y))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (/.f64 y #s(literal -3 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (sqrt.f64 x)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (/.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 y (sqrt.f64 x)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 y))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (neg.f64 (sqrt.f64 x))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 y #s(literal -3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) y)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 (/.f64 y #s(literal -3 binary64)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(neg.f64 (/.f64 (/.f64 y #s(literal -3 binary64)) (sqrt.f64 x))) |
(neg.f64 (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(neg.f64 (/.f64 (/.f64 y #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
Compiled 4 528 to 645 computations (85.8% saved)
14 alts after pruning (10 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 185 | 6 | 191 |
| Fresh | 5 | 4 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 192 | 14 | 206 |
| Status | Accuracy | Program |
|---|---|---|
| 83.5% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| ▶ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ✓ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ✓ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
| 99.6% | (-.f64 (-.f64 #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 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 58.2% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| ▶ | 71.8% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
| ✓ | 71.8% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ▶ | 52.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)) |
| 94.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) | |
| ▶ | 71.7% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
| ✓ | 71.7% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
| 52.6% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) | |
| ▶ | 32.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
Compiled 474 to 386 computations (18.6% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64) #s(literal 1 binary64))) | |
| 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 (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) | |
| cost-diff | 0 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| cost-diff | 2 | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 225 |
| 0 | 62 | 225 |
| 1 | 94 | 209 |
| 2 | 146 | 209 |
| 3 | 261 | 209 |
| 4 | 548 | 209 |
| 5 | 1834 | 209 |
| 6 | 6011 | 209 |
| 0 | 8107 | 209 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
x |
#s(literal 9 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1/3 binary64) y) |
#s(literal -1/3 binary64) |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
#s(literal -1/3 binary64) |
(sqrt.f64 x) |
x |
y |
#s(literal -1/9 binary64) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(/.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) |
(pow.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
y |
#s(literal -1/3 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1 binary64) x) |
x |
#s(literal 9 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y)) |
(*.f64 #s(literal -1/3 binary64) y) |
#s(literal -1/3 binary64) |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
#s(literal -1/3 binary64) |
(sqrt.f64 x) |
x |
y |
#s(literal -1/9 binary64) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) |
(pow.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
y |
#s(literal -1/3 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 x #s(literal -1/2 binary64)) | |
| accuracy | 0.14453125 | (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.2421875 | (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) | |
| accuracy | 17.965922475261646 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.00390625 | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) | |
| accuracy | 0.30859375 | (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) | |
| accuracy | 26.52367334835865 | #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) | |
| accuracy | 0.10546875 | (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) | |
| accuracy | 0.40625 | (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) | |
| accuracy | 3.8533910958575452 | (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x) | |
| accuracy | 26.567572073391425 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)) | |
| accuracy | 0.09375 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.26171875 | (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.32421875 | (*.f64 #s(literal -1/3 binary64) y) | |
| accuracy | 43.39175160044169 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.00390625 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| accuracy | 0.22265625 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.25 | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) | |
| accuracy | 0.328125 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 79.0ms | 256× | 0 | valid |
Compiled 198 to 35 computations (82.3% saved)
ival-div: 14.0ms (24.2% of total)ival-add: 12.0ms (20.8% of total)ival-mult: 11.0ms (19% of total)const: 6.0ms (10.4% of total)ival-sub: 5.0ms (8.7% of total)ival-pow: 5.0ms (8.7% of total)ival-sqrt: 3.0ms (5.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1/3 binary64) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(/.f64 y #s(literal 3 binary64)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) |
(pow.f64 x #s(literal -1/2 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(sqrt.f64 x) |
| Outputs |
|---|
(/ 1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ 1 x) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(sqrt (/ 1 x)) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(* -1/3 (sqrt x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(/ (+ x (* -1/3 (* (sqrt x) y))) x) |
(* (sqrt (/ 1 x)) y) |
(* 3 (sqrt x)) |
(sqrt x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt x) y)) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(* 1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 y) |
-1/9 |
(* 1/3 y) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((/ (/ 1 x) 9) (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ 1 x) 9)) (/ 1 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (* -1/3 y) (sqrt (/ 1 x))) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/ (+ (* (* -1/3 (sqrt x)) y) -1/9) x) (+ (* (* -1/3 (sqrt x)) y) -1/9) (* -1/3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x)) (/ y 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+ (* (* (pow x -1/2) y) -1/3) 1) (* (pow x -1/2) y) (pow x -1/2) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (sqrt x)) |
| 4.0ms | x | @ | -inf | ((/ (/ 1 x) 9) (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ 1 x) 9)) (/ 1 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (* -1/3 y) (sqrt (/ 1 x))) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/ (+ (* (* -1/3 (sqrt x)) y) -1/9) x) (+ (* (* -1/3 (sqrt x)) y) -1/9) (* -1/3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x)) (/ y 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+ (* (* (pow x -1/2) y) -1/3) 1) (* (pow x -1/2) y) (pow x -1/2) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (sqrt x)) |
| 3.0ms | x | @ | 0 | ((/ (/ 1 x) 9) (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ 1 x) 9)) (/ 1 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (* -1/3 y) (sqrt (/ 1 x))) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/ (+ (* (* -1/3 (sqrt x)) y) -1/9) x) (+ (* (* -1/3 (sqrt x)) y) -1/9) (* -1/3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x)) (/ y 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+ (* (* (pow x -1/2) y) -1/3) 1) (* (pow x -1/2) y) (pow x -1/2) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (sqrt x)) |
| 2.0ms | y | @ | -inf | ((/ (/ 1 x) 9) (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ 1 x) 9)) (/ 1 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (* -1/3 y) (sqrt (/ 1 x))) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/ (+ (* (* -1/3 (sqrt x)) y) -1/9) x) (+ (* (* -1/3 (sqrt x)) y) -1/9) (* -1/3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x)) (/ y 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+ (* (* (pow x -1/2) y) -1/3) 1) (* (pow x -1/2) y) (pow x -1/2) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (sqrt x)) |
| 2.0ms | y | @ | inf | ((/ (/ 1 x) 9) (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ 1 x) 9)) (/ 1 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (* -1/3 y) (sqrt (/ 1 x))) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/ (+ (* (* -1/3 (sqrt x)) y) -1/9) x) (+ (* (* -1/3 (sqrt x)) y) -1/9) (* -1/3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x)) (/ y 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+ (* (* (pow x -1/2) y) -1/3) 1) (* (pow x -1/2) y) (pow x -1/2) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (sqrt x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 380 |
| 1 | 254 | 366 |
| 2 | 862 | 360 |
| 0 | 3296 | 338 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ 1 x) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(sqrt (/ 1 x)) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(* -1/3 (sqrt x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(/ (+ x (* -1/3 (* (sqrt x) y))) x) |
(* (sqrt (/ 1 x)) y) |
(* 3 (sqrt x)) |
(sqrt x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt x) y)) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(* 1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 y) |
-1/9 |
(* 1/3 y) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y)))) |
| Outputs |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- x 1/9) x) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) |
(* -1/3 (sqrt x)) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ x (* -1/3 (* (sqrt x) y))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x) x) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt x) y)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64)) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(fma.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64)) |
(* 1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* -1/3 y) |
(*.f64 #s(literal -1/3 binary64) y) |
-1/9 |
#s(literal -1/9 binary64) |
(* 1/3 y) |
(*.f64 #s(literal 1/3 binary64) y) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(*.f64 (neg.f64 y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y))) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) |
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 196 |
| 0 | 62 | 197 |
| 1 | 233 | 177 |
| 0 | 1367 | 177 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1/3 binary64) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(/.f64 y #s(literal 3 binary64)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) |
(pow.f64 x #s(literal -1/2 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(sqrt.f64 x) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x))) |
(neg.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -9 binary64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 9 binary64) x)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (neg.f64 y))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (/.f64 y #s(literal -3 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (sqrt.f64 x)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (/.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 y))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (neg.f64 (sqrt.f64 x))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 y #s(literal -3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) y)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) y) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y) |
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(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
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(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64) #s(literal -1 binary64)))) |
(-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal -1/3 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal -1/3 binary64) y))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64))) |
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) |
(*.f64 y (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 (/.f64 y #s(literal -3 binary64)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(neg.f64 (/.f64 (/.f64 y #s(literal -3 binary64)) (sqrt.f64 x))) |
(neg.f64 (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(neg.f64 (/.f64 (/.f64 y #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
Compiled 6 361 to 836 computations (86.9% saved)
15 alts after pruning (9 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 232 | 8 | 240 |
| Fresh | 4 | 1 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 239 | 15 | 254 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.5% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ✓ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ✓ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ✓ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
| ✓ | 71.8% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
| 71.7% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))) | |
| ✓ | 71.8% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ▶ | 52.6% | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
| ▶ | 94.1% | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
| 30.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) x (*.f64 x #s(literal -1/9 binary64))) (*.f64 x x))) | |
| 40.9% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(literal -1/9 binary64)) x))) | |
| ▶ | 26.5% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
| ▶ | 28.5% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
| 71.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) | |
| ✓ | 32.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
Compiled 565 to 444 computations (21.4% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64))) | |
| cost-diff | 0 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) | |
| cost-diff | 0 | #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) | |
| cost-diff | 0 | #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) | |
| cost-diff | 0 | (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 300 |
| 0 | 72 | 294 |
| 1 | 115 | 286 |
| 2 | 194 | 286 |
| 3 | 394 | 286 |
| 4 | 846 | 286 |
| 5 | 3168 | 286 |
| 0 | 8245 | 286 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
x |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
y |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
(/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x) |
#s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) |
#s(literal -1/9 binary64) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
(/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x) |
#s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
#s(literal -1/3 binary64) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) |
(*.f64 #s(literal -1/3 binary64) y) |
#s(literal -1/3 binary64) |
y |
(sqrt.f64 x) |
x |
#s(literal -1/9 binary64) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64))) |
#s(literal 1 binary64) |
(/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/2 binary64) |
#s(literal 9 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
| Outputs |
|---|
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) x)) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(/.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) x) |
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) |
x |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
y |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
(/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x) |
#s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) |
#s(literal -1/9 binary64) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)) |
(/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x) |
(/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x) |
#s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) |
#s(literal -1/3 binary64) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) |
(*.f64 #s(literal -1/3 binary64) y) |
#s(literal -1/3 binary64) |
y |
(sqrt.f64 x) |
x |
#s(literal -1/9 binary64) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64))) |
#s(literal 1 binary64) |
(/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/2 binary64) |
#s(literal 9 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.22265625 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.25 | (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64)) | |
| accuracy | 0.328125 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 27.955572772336065 | (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) | |
| accuracy | 0.15625 | (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) | |
| accuracy | 0.32421875 | (*.f64 #s(literal -1/3 binary64) y) | |
| accuracy | 3.8533910958575452 | (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x) | |
| accuracy | 26.567572073391425 | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) | |
| accuracy | 0.35546875 | (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) | |
| accuracy | 3.8533910958575452 | (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x) | |
| accuracy | 26.567572073391425 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) | |
| accuracy | 33.24486120177901 | #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) | |
| accuracy | 3.8533910958575452 | (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x) | |
| accuracy | 26.567572073391425 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) | |
| accuracy | 30.143229559797632 | #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) | |
| accuracy | 0.015625 | (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) | |
| accuracy | 0.1796875 | (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) | |
| accuracy | 0.26171875 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 3.7244848458575452 | (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
| 166.0ms | 256× | 0 | valid |
Compiled 236 to 44 computations (81.4% saved)
const: 48.0ms (37.6% of total)ival-mult: 46.0ms (36.1% of total)ival-div: 15.0ms (11.8% of total)ival-sub: 7.0ms (5.5% of total)ival-pow: 5.0ms (3.9% of total)ival-add: 3.0ms (2.4% of total)ival-sqrt: 2.0ms (1.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
(/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x) |
#s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
(/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x) |
#s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) |
(*.f64 #s(literal -1/3 binary64) y) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64))) |
(/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x) |
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(+ 1/9 (* 1/3 (* (sqrt x) y))) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(* -1/3 (* (sqrt x) y)) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ 1/9 x) |
(/ 1 x) |
(* (sqrt x) y) |
(* 3 (sqrt x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(* 1/3 (* (sqrt x) y)) |
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(- (+ 1 (* 1/9 (/ 1 x))) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* 1/9 (/ 1 x))) |
(/ -1 x) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- x 1/9) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
1/9 |
-1/9 |
(* -1/3 y) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/ (+ (* (* -1/3 (sqrt x)) y) -1/9) x) (+ (* (* -1/3 (sqrt x)) y) -1/9) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/ (+ (* (* -1/3 (sqrt x)) y) -1/9) x) (+ (* (* -1/3 (sqrt x)) y) -1/9) (* -1/3 (* (sqrt x) y)) (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/ (+ (* (* -1/3 y) (sqrt x)) -1/9) x) (+ (* (* -1/3 y) (sqrt x)) -1/9) (* -1/3 y) (- (- 1 (/ (pow (* x x) -1/2) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow (* x x) -1/2) 9)) (/ (pow (* x x) -1/2) 9) (pow (* x x) -1/2) (* (sqrt x) y) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 3.0ms | x | @ | -inf | ((- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/ (+ (* (* -1/3 (sqrt x)) y) -1/9) x) (+ (* (* -1/3 (sqrt x)) y) -1/9) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/ (+ (* (* -1/3 (sqrt x)) y) -1/9) x) (+ (* (* -1/3 (sqrt x)) y) -1/9) (* -1/3 (* (sqrt x) y)) (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/ (+ (* (* -1/3 y) (sqrt x)) -1/9) x) (+ (* (* -1/3 y) (sqrt x)) -1/9) (* -1/3 y) (- (- 1 (/ (pow (* x x) -1/2) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow (* x x) -1/2) 9)) (/ (pow (* x x) -1/2) 9) (pow (* x x) -1/2) (* (sqrt x) y) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 3.0ms | x | @ | 0 | ((- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/ (+ (* (* -1/3 (sqrt x)) y) -1/9) x) (+ (* (* -1/3 (sqrt x)) y) -1/9) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/ (+ (* (* -1/3 (sqrt x)) y) -1/9) x) (+ (* (* -1/3 (sqrt x)) y) -1/9) (* -1/3 (* (sqrt x) y)) (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/ (+ (* (* -1/3 y) (sqrt x)) -1/9) x) (+ (* (* -1/3 y) (sqrt x)) -1/9) (* -1/3 y) (- (- 1 (/ (pow (* x x) -1/2) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow (* x x) -1/2) 9)) (/ (pow (* x x) -1/2) 9) (pow (* x x) -1/2) (* (sqrt x) y) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 2.0ms | y | @ | -inf | ((- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/ (+ (* (* -1/3 (sqrt x)) y) -1/9) x) (+ (* (* -1/3 (sqrt x)) y) -1/9) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/ (+ (* (* -1/3 (sqrt x)) y) -1/9) x) (+ (* (* -1/3 (sqrt x)) y) -1/9) (* -1/3 (* (sqrt x) y)) (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/ (+ (* (* -1/3 y) (sqrt x)) -1/9) x) (+ (* (* -1/3 y) (sqrt x)) -1/9) (* -1/3 y) (- (- 1 (/ (pow (* x x) -1/2) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow (* x x) -1/2) 9)) (/ (pow (* x x) -1/2) 9) (pow (* x x) -1/2) (* (sqrt x) y) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
| 2.0ms | y | @ | inf | ((- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/ (+ (* (* -1/3 (sqrt x)) y) -1/9) x) (+ (* (* -1/3 (sqrt x)) y) -1/9) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/ (+ (* (* -1/3 (sqrt x)) y) -1/9) x) (+ (* (* -1/3 (sqrt x)) y) -1/9) (* -1/3 (* (sqrt x) y)) (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/ (+ (* (* -1/3 y) (sqrt x)) -1/9) x) (+ (* (* -1/3 y) (sqrt x)) -1/9) (* -1/3 y) (- (- 1 (/ (pow (* x x) -1/2) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow (* x x) -1/2) 9)) (/ (pow (* x x) -1/2) 9) (pow (* x x) -1/2) (* (sqrt x) y) (* 3 (sqrt x)) (/ y (* 3 (sqrt x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 546 |
| 1 | 338 | 538 |
| 2 | 1202 | 526 |
| 0 | 3503 | 486 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x) |
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(+ 1/9 (* 1/3 (* (sqrt x) y))) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(* -1/3 (* (sqrt x) y)) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ 1/9 x) |
(/ 1 x) |
(* (sqrt x) y) |
(* 3 (sqrt x)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(* 1/3 (* (sqrt x) y)) |
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(- (+ 1 (* 1/9 (/ 1 x))) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* 1/9 (/ 1 x))) |
(/ -1 x) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- x 1/9) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
1/9 |
-1/9 |
(* -1/3 y) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
| Outputs |
|---|
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) |
(- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) |
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(+ 1/9 (* 1/3 (* (sqrt x) y))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) |
(* -1/3 (* (sqrt x) y)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- x 1/9) x) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) |
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64)) |
(* 1/3 (* (sqrt x) y)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) |
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal 1/9 binary64)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal -1/9 binary64)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x) |
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64)) |
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)) |
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal 1/9 binary64)) |
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal -1/9 binary64)) |
(- (+ 1 (* 1/9 (/ 1 x))) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
(+ 1 (* 1/9 (/ 1 x))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(- x 1/9) |
(-.f64 x #s(literal 1/9 binary64)) |
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9) |
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
1/9 |
#s(literal 1/9 binary64) |
-1/9 |
#s(literal -1/9 binary64) |
(* -1/3 y) |
(*.f64 #s(literal -1/3 binary64) y) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 x y)) y #s(literal -1/9 binary64)) |
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) |
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x))))) |
(*.f64 (neg.f64 y) (neg.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1/9 binary64)) y)))) |
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 266 |
| 0 | 72 | 260 |
| 1 | 286 | 238 |
| 0 | 2081 | 238 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) |
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
(/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x) |
#s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
(/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x) |
#s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) |
(*.f64 #s(literal -1/3 binary64) y) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64))) |
(/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))))) (neg.f64 (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) (+.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) (*.f64 x x)) x)) |
(/.f64 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) (neg.f64 x)) |
(/.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) x) |
(neg.f64 (/.f64 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) x)) |
(neg.f64 (/.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) (neg.f64 x))) |
(-.f64 (/.f64 (-.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) x) (/.f64 #s(literal 1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (-.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) (-.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)))) #s(literal 1/81 binary64)) (+.f64 (-.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 1/9 binary64))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (fma.f64 (-.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) (-.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) (+.f64 #s(literal 1/81 binary64) (*.f64 (-.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) (+.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) (+.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) (*.f64 x x))) |
(-.f64 (-.f64 x #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) (+.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) (+.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) (*.f64 x x)))) |
(-.f64 (-.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal 1/9 binary64)) |
(-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 1/9 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1/729 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 1/9 binary64))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) |
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 1/9 binary64)))) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 1/3 binary64))) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y))) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
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(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) |
(neg.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -9 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 9 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 (/.f64 y #s(literal -3 binary64)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(neg.f64 (/.f64 (/.f64 y #s(literal -3 binary64)) (sqrt.f64 x))) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(neg.f64 (/.f64 (/.f64 y #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))) |
(neg.f64 (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
Compiled 6 550 to 893 computations (86.4% saved)
16 alts after pruning (8 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 219 | 6 | 225 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 5 | 6 |
| Total | 224 | 16 | 240 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 83.5% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ✓ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ✓ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| ✓ | 71.8% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
| 71.7% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))) | |
| ✓ | 71.8% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 30.0% | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) x (*.f64 x #s(literal -1/9 binary64))) (*.f64 x x))) | |
| ✓ | 52.6% | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
| 40.8% | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(literal -1/9 binary64)) x))) | |
| 69.0% | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) | |
| 77.4% | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (neg.f64 y) (neg.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1/9 binary64)) y))))) x)) | |
| 94.1% | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) | |
| 26.5% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x)) | |
| ✓ | 28.5% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
| 71.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) | |
| ✓ | 32.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
Compiled 1 213 to 487 computations (59.9% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) x (*.f64 x #s(literal -1/9 binary64))) (*.f64 x x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) x (*.f64 x #s(literal -1/9 binary64))) (*.f64 x x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (neg.f64 y) (neg.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1/9 binary64)) y))))) x)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(literal -1/9 binary64)) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(literal -1/9 binary64)) x))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (sqrt.f64 x)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (/.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) |
(-.f64 (-.f64 #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 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
3 calls:
| 11.0ms | y |
| 9.0ms | x |
| 8.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 99.7% | 1 | x |
| 99.7% | 1 | y |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) x (*.f64 x #s(literal -1/9 binary64))) (*.f64 x x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) x (*.f64 x #s(literal -1/9 binary64))) (*.f64 x x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (neg.f64 y) (neg.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1/9 binary64)) y))))) x)) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
3 calls:
| 13.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 6.0ms | x |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 99.7% | 1 | x |
| 99.7% | 1 | y |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) x (*.f64 x #s(literal -1/9 binary64))) (*.f64 x x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) x (*.f64 x #s(literal -1/9 binary64))) (*.f64 x x))) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
3 calls:
| 7.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 6.0ms | y |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 99.7% | 1 | x |
| 99.7% | 1 | y |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
3 calls:
| 7.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 5.0ms | x |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 99.7% | 2 | x |
| 99.7% | 3 | y |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
| Outputs |
|---|
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x)) |
| Outputs |
|---|
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
3 calls:
| 3.0ms | x |
| 2.0ms | y |
| 2.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.8% | 3 | y |
| 83.7% | 2 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 86.1% | 2 | x |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.8% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
| Outputs |
|---|
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.0% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 69.0% | 1 | x |
| 69.0% | 1 | y |
Compiled 16 to 16 computations (0% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
3 calls:
| 1.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.5% | 1 | x |
| 28.5% | 1 | y |
| 28.5% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 16 to 16 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 71067359072.53186 | 52619143789392.92 |
| 9.0ms | 128× | 0 | valid |
Compiled 353 to 313 computations (11.3% saved)
ival-div: 2.0ms (36% of total)ival-mult: 2.0ms (36% of total)ival-sub: 1.0ms (18% of total)ival-sqrt: 1.0ms (18% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 71067359072.53186 | 52619143789392.92 |
Compiled 353 to 305 computations (13.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 4.634172595270627e-8 | 41.16337412306498 |
| 11.0ms | 144× | 0 | valid |
Compiled 377 to 332 computations (11.9% saved)
ival-div: 2.0ms (27.1% of total)ival-mult: 2.0ms (27.1% of total)ival-sqrt: 2.0ms (27.1% of total)ival-sub: 1.0ms (13.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.634172595270627e-8 | 41.16337412306498 |
Compiled 377 to 332 computations (11.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 3096.1348867288857 | 31288.949553310547 |
| 21.0ms | -5.99653480089792e+68 | -2.7042113996244548e+41 |
| 20.0ms | 272× | 0 | valid |
Compiled 826 to 696 computations (15.7% saved)
ival-mult: 5.0ms (36.6% of total)ival-div: 3.0ms (22% of total)ival-sub: 2.0ms (14.6% of total)ival-sqrt: 2.0ms (14.6% of total)ival-true: 0.0ms (0% of total)adjust: 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 | 3096.1348867288857 | 31288.949553310547 |
| 1.0ms | -5.99653480089792e+68 | -2.7042113996244548e+41 |
Compiled 782 to 663 computations (15.2% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 403 |
| 1 | 133 | 403 |
| 2 | 225 | 403 |
| 3 | 367 | 403 |
| 4 | 543 | 403 |
| 5 | 1006 | 403 |
| 6 | 5874 | 403 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(if (<=.f64 x #s(literal 52000000000000 binary64)) #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 52000000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 y #s(literal -88000000000000001255058676966353184525944638767160631962370048 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))) (if (<=.f64 y #s(literal 31000 binary64)) #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))) |
(if (<=.f64 y #s(literal -88000000000000001255058676966353184525944638767160631962370048 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 31000 binary64)) #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(if (<=.f64 x #s(literal 52000000000000 binary64)) #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 52000000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 52000000000000 binary64)) #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 y #s(literal -88000000000000001255058676966353184525944638767160631962370048 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))) (if (<=.f64 y #s(literal 31000 binary64)) #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))) |
(if (<=.f64 y #s(literal -88000000000000001255058676966353184525944638767160631962370048 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 31000 binary64)) #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))) |
(if (or (<=.f64 y #s(literal -88000000000000001255058676966353184525944638767160631962370048 binary64)) (not (<=.f64 y #s(literal 31000 binary64)))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* -1/3 (sqrt x)) y) -1/9) #s(literal -1/9 binary64)) x)) |
| 1× | fuel |
Compiled 403 to 94 computations (76.7% saved)
Compiled 862 to 236 computations (72.6% saved)
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