
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 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 419.0ms | 8 256× | 0 | valid |
ival-mult: 94.0ms (37.4% of total)ival-sub: 88.0ms (35% of total)ival-div: 53.0ms (21.1% of total)exact: 8.0ms (3.2% of total)ival-true: 6.0ms (2.4% of total)ival-assert: 3.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 21 | 0 | - | 0 | - | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 3 binary64) x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) | o/n | 21 | 0 |
| ↳ | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) | overflow | 74 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 21 | 0 |
| - | 0 | 235 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 21 | 0 | 0 |
| - | 0 | 0 | 235 |
| number | freq |
|---|---|
| 0 | 235 |
| 1 | 21 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 31.0ms | 512× | 0 | valid |
Compiled 77 to 31 computations (59.7% saved)
ival-mult: 8.0ms (45.8% of total)ival-sub: 5.0ms (28.7% of total)ival-div: 3.0ms (17.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 63 |
| 1 | 60 | 59 |
| 2 | 214 | 59 |
| 3 | 628 | 58 |
| 4 | 1007 | 57 |
| 5 | 1175 | 57 |
| 6 | 1228 | 57 |
| 7 | 1315 | 57 |
| 8 | 1452 | 57 |
| 9 | 1555 | 57 |
| 0 | 9 | 11 |
| 0 | 14 | 11 |
| 1 | 25 | 11 |
| 2 | 52 | 11 |
| 3 | 75 | 11 |
| 4 | 79 | 11 |
| 5 | 84 | 11 |
| 6 | 86 | 11 |
| 7 | 87 | 11 |
| 8 | 88 | 11 |
| 0 | 88 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(negabs y)
Compiled 11 to 9 computations (18.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.0% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 0 | 14 | 31 |
| 1 | 25 | 31 |
| 2 | 52 | 31 |
| 3 | 75 | 31 |
| 4 | 79 | 31 |
| 5 | 84 | 31 |
| 6 | 86 | 31 |
| 7 | 87 | 31 |
| 8 | 88 | 31 |
| 0 | 88 | 31 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
(*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.015625 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) | |
| accuracy | 5.1063834051873105 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 13.0ms | 256× | 0 | valid |
Compiled 33 to 11 computations (66.7% saved)
ival-mult: 3.0ms (42.7% of total)ival-sub: 2.0ms (28.5% of total)ival-div: 2.0ms (28.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 3 binary64) x) |
(*.f64 y #s(literal 3 binary64)) |
| Outputs |
|---|
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
1 |
(+ 1 (* -1 x)) |
(+ 3 (* -1 x)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 y) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | inf | ((/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (- 1 x) (- 3 x) (* y 3)) |
| 1.0ms | y | @ | 0 | ((/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (- 1 x) (- 3 x) (* y 3)) |
| 1.0ms | y | @ | -inf | ((/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (- 1 x) (- 3 x) (* y 3)) |
| 1.0ms | x | @ | inf | ((/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (- 1 x) (- 3 x) (* y 3)) |
| 1.0ms | x | @ | -inf | ((/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (- 1 x) (- 3 x) (* y 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 195 |
| 1 | 210 | 186 |
| 2 | 529 | 174 |
| 3 | 1975 | 158 |
| 4 | 7397 | 156 |
| 0 | 8255 | 140 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
1 |
(+ 1 (* -1 x)) |
(+ 3 (* -1 x)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 y) |
| Outputs |
|---|
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -4 x)) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
(+ 3 (* x (- x 4))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 3 (* -1 x)) |
(-.f64 #s(literal 3 binary64) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 (/.f64 x y) x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(fma.f64 #s(literal -4 binary64) x (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(fma.f64 x x (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 (/.f64 x y) x)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(fma.f64 x x (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 0 | 14 | 27 |
| 1 | 53 | 27 |
| 2 | 325 | 27 |
| 3 | 3555 | 27 |
| 0 | 9412 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 3 binary64) x) |
(*.f64 y #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y)) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) y) (/.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) y) (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 y)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 y)) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (*.f64 y #s(literal 3 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal -3 binary64) y))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y)) |
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y)) (fma.f64 #s(literal -1 binary64) x #s(literal -3 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y)) (neg.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y)) (+.f64 #s(literal 3 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
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(-.f64 (/.f64 (*.f64 #s(literal 27 binary64) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 81 binary64) (*.f64 (fma.f64 x x #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) x)))) |
(-.f64 (/.f64 #s(literal 19683 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 729 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 729 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))))) |
(-.f64 (/.f64 #s(literal 729 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 9 binary64)) #s(literal 81 binary64)) (+.f64 #s(literal 3 binary64) x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 9 binary64)) #s(literal 81 binary64)) (+.f64 #s(literal 3 binary64) x)))) |
(-.f64 (/.f64 #s(literal 729 binary64) (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x x #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) x))) |
(-.f64 (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 9 binary64)) #s(literal 81 binary64))) (+.f64 #s(literal 3 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 9 binary64)) #s(literal 81 binary64))) (+.f64 #s(literal 3 binary64) x))) |
(-.f64 (/.f64 (/.f64 #s(literal 729 binary64) (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 729 binary64))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 729 binary64))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)))) |
(-.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (+.f64 #s(literal 3 binary64) x))) |
(-.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) x)) (*.f64 x (/.f64 x (+.f64 #s(literal 3 binary64) x)))) |
(-.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)))) |
(-.f64 #s(literal 3 binary64) x) |
(+.f64 (/.f64 #s(literal 81 binary64) (*.f64 (fma.f64 x x #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) x)))) |
(+.f64 (/.f64 #s(literal 729 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 9 binary64)) #s(literal 81 binary64)) (+.f64 #s(literal 3 binary64) x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 9 binary64)) #s(literal 81 binary64)) (+.f64 #s(literal 3 binary64) x)))) |
(+.f64 (/.f64 #s(literal 729 binary64) (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))))) |
(+.f64 (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) x))) |
(+.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (+.f64 #s(literal 3 binary64) x))) |
(+.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) x)) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal -3 binary64)))) |
(+.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 3 binary64) x))) |
(+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)))) |
(+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)))) |
(+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)))) |
(+.f64 #s(literal 3 binary64) (neg.f64 x)) |
(*.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64)) |
(*.f64 (neg.f64 y) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (neg.f64 y)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 y))) |
(*.f64 #s(literal 3 binary64) y) |
(neg.f64 (*.f64 #s(literal -3 binary64) y)) |
Compiled 13 157 to 1 723 computations (86.9% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 460 | 13 | 473 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 461 | 13 | 474 |
| Status | Accuracy | Program |
|---|---|---|
| 36.4% | (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) | |
| ▶ | 56.8% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
| 43.7% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) | |
| 50.6% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| 99.6% | (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) | |
| ▶ | 99.2% | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
| 99.6% | (*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) | |
| 92.2% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) | |
| 57.0% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) | |
| ▶ | 50.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| 51.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) | |
| ▶ | 99.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 50.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
Compiled 446 to 336 computations (24.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 3 binary64) x) y) | |
| cost-diff | 1 | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 176 |
| 0 | 47 | 175 |
| 1 | 85 | 175 |
| 2 | 152 | 175 |
| 3 | 247 | 175 |
| 4 | 483 | 175 |
| 5 | 1071 | 172 |
| 6 | 2903 | 172 |
| 7 | 5889 | 172 |
| 0 | 8365 | 172 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
#s(literal -1/3 binary64) |
x |
#s(literal 1 binary64) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(literal 1/3 binary64) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
#s(literal -4 binary64) |
x |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
y |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) x) y))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) x) y)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
#s(literal -1/3 binary64) |
x |
#s(literal 1 binary64) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 x y) x))) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(literal 1/3 binary64) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
#s(literal -4 binary64) |
x |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) x) y)) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
y |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 #s(literal 3 binary64) x) y) | |
| accuracy | 0.015625 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) | |
| accuracy | 0.49387945879185047 | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) | |
| accuracy | 0.0 | (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) | |
| accuracy | 0.0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 5.1063834051873105 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 31.49062819759951 | #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.1796875 | (*.f64 (/.f64 x y) x) | |
| accuracy | 0.5815091942572006 | (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) | |
| accuracy | 31.091981773853302 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 31.496876280222455 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.0703125 | (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.07421875 | (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) | |
| accuracy | 0.15234375 | (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
| 46.0ms | 256× | 0 | valid |
Compiled 149 to 27 computations (81.9% saved)
ival-mult: 11.0ms (33.9% of total)ival-div: 10.0ms (30.9% of total)const: 6.0ms (18.5% of total)ival-sub: 2.0ms (6.2% of total)ival-add: 2.0ms (6.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(-.f64 #s(literal 3 binary64) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* -1/3 (/ x y)) (/ 1 y)) |
1 |
(+ 1 (* -1/3 x)) |
(* 1/3 (/ (pow x 2) y)) |
(/ (pow x 2) y) |
(/ x y) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
(/ 3 y) |
(+ (* -1 (/ x y)) (* 3 (/ 1 y))) |
(+ 3 (* -1 x)) |
1/3 |
(+ 1/3 (* -1/3 x)) |
(+ 1 (* -1 x)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* -1/3 (/ x y)) |
(* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y)))) |
(* -1/3 x) |
(* x (- (/ 1 x) 1/3)) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* -4 x) |
(* x (- (* 3 (/ 1 x)) 4)) |
(* -1 (/ x y)) |
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y))) |
(* -1 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(* x (- (/ 1 x) 1)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y))))) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* -1 (* x (- 4 (* 3 (/ 1 x))))) |
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(* 3 y) |
(/ (- 3 x) y) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | -inf | ((/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ (+ (* -1/3 x) 1) y) (- 1 x)) (/ (+ (* -1/3 x) 1) y) (+ (* -1/3 x) 1) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) x) 1/3) (* (/ x y) x) (/ x y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (+ (* -4 x) 3) (* y 3) (* (/ (- 3 x) y) (/ (- 1 x) 3)) (/ (- 3 x) y) (- 3 x) (/ (- 1 x) 3) (- 1 x)) |
| 4.0ms | x | @ | inf | ((/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ (+ (* -1/3 x) 1) y) (- 1 x)) (/ (+ (* -1/3 x) 1) y) (+ (* -1/3 x) 1) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) x) 1/3) (* (/ x y) x) (/ x y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (+ (* -4 x) 3) (* y 3) (* (/ (- 3 x) y) (/ (- 1 x) 3)) (/ (- 3 x) y) (- 3 x) (/ (- 1 x) 3) (- 1 x)) |
| 3.0ms | y | @ | 0 | ((/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ (+ (* -1/3 x) 1) y) (- 1 x)) (/ (+ (* -1/3 x) 1) y) (+ (* -1/3 x) 1) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) x) 1/3) (* (/ x y) x) (/ x y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (+ (* -4 x) 3) (* y 3) (* (/ (- 3 x) y) (/ (- 1 x) 3)) (/ (- 3 x) y) (- 3 x) (/ (- 1 x) 3) (- 1 x)) |
| 3.0ms | y | @ | inf | ((/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ (+ (* -1/3 x) 1) y) (- 1 x)) (/ (+ (* -1/3 x) 1) y) (+ (* -1/3 x) 1) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) x) 1/3) (* (/ x y) x) (/ x y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (+ (* -4 x) 3) (* y 3) (* (/ (- 3 x) y) (/ (- 1 x) 3)) (/ (- 3 x) y) (- 3 x) (/ (- 1 x) 3) (- 1 x)) |
| 2.0ms | x | @ | -inf | ((/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ (+ (* -1/3 x) 1) y) (- 1 x)) (/ (+ (* -1/3 x) 1) y) (+ (* -1/3 x) 1) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) x) 1/3) (* (/ x y) x) (/ x y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (+ (* -4 x) 3) (* y 3) (* (/ (- 3 x) y) (/ (- 1 x) 3)) (/ (- 3 x) y) (- 3 x) (/ (- 1 x) 3) (- 1 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 118 | 338 |
| 1 | 304 | 324 |
| 2 | 740 | 312 |
| 3 | 2673 | 300 |
| 0 | 8573 | 276 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* -1/3 (/ x y)) (/ 1 y)) |
1 |
(+ 1 (* -1/3 x)) |
(* 1/3 (/ (pow x 2) y)) |
(/ (pow x 2) y) |
(/ x y) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
(/ 3 y) |
(+ (* -1 (/ x y)) (* 3 (/ 1 y))) |
(+ 3 (* -1 x)) |
1/3 |
(+ 1/3 (* -1/3 x)) |
(+ 1 (* -1 x)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* -1/3 (/ x y)) |
(* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y)))) |
(* -1/3 x) |
(* x (- (/ 1 x) 1/3)) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* -4 x) |
(* x (- (* 3 (/ 1 x)) 4)) |
(* -1 (/ x y)) |
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y))) |
(* -1 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(* x (- (/ 1 x) 1)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y))))) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* -1 (* x (- 4 (* 3 (/ 1 x))))) |
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(* 3 y) |
(/ (- 3 x) y) |
| Outputs |
|---|
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(+ (* -1/3 (/ x y)) (/ 1 y)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/3 x)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -4 x)) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
(+ 3 (* x (- x 4))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(/ 3 y) |
(/.f64 #s(literal 3 binary64) y) |
(+ (* -1 (/ x y)) (* 3 (/ 1 y))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(+ 3 (* -1 x)) |
(-.f64 #s(literal 3 binary64) x) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* -1/3 x)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(* -1/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) y) x) |
(* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y)))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* x (- (/ 1 x) 1/3)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(fma.f64 #s(literal -4 binary64) x (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(fma.f64 x x (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) |
(* -4 x) |
(*.f64 #s(literal -4 binary64) x) |
(* x (- (* 3 (/ 1 x)) 4)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) x) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64)) x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (neg.f64 x)) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(fma.f64 x x (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) |
(* -1 (* x (- 4 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (+ 1 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 156 |
| 0 | 47 | 155 |
| 1 | 150 | 155 |
| 2 | 893 | 152 |
| 3 | 7790 | 152 |
| 0 | 8235 | 152 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(-.f64 #s(literal 3 binary64) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) y) (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -3 binary64))) |
(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (/.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) y)) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) (-.f64 #s(literal 3 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 y)) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 y))) |
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (fma.f64 y x y) #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) (neg.f64 (fma.f64 y x y)))) |
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (fma.f64 y x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (fma.f64 (fma.f64 x x x) y y) #s(literal 3 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) (neg.f64 (fma.f64 (fma.f64 x x x) y y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) y y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (neg.f64 (fma.f64 y x y)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 x x x) y y)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y))) |
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (neg.f64 y))) |
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal -3 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal -3 binary64) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
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(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/3 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal 3 binary64))) |
(-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 x #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
Compiled 18 831 to 2 496 computations (86.7% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 620 | 6 | 626 |
| Fresh | 2 | 6 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 623 | 16 | 639 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 56.8% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
| ▶ | 43.7% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| ▶ | 50.6% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
| 99.6% | (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) | |
| 89.3% | (*.f64 #s(approx (/ (- 3 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) | |
| ▶ | 92.2% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
| 57.0% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) | |
| 43.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) y)) | |
| ✓ | 50.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| ▶ | 99.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| 51.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) | |
| ✓ | 99.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
| 99.7% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x))) | |
| ▶ | 51.3% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x))) |
| ✓ | 50.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
| 51.1% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) (-.f64 #s(literal 1 binary64) x))) |
Compiled 538 to 405 computations (24.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) x) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x))) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| cost-diff | 1 | (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 191 |
| 0 | 47 | 193 |
| 1 | 83 | 193 |
| 2 | 169 | 193 |
| 3 | 350 | 193 |
| 4 | 782 | 190 |
| 5 | 1603 | 190 |
| 6 | 3115 | 183 |
| 7 | 5061 | 183 |
| 0 | 8123 | 183 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
#s(literal -1/3 binary64) |
x |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
y |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x)) |
(/.f64 x y) |
x |
y |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
#s(literal 1/3 binary64) |
x |
#s(literal -4/3 binary64) |
#s(literal 1 binary64) |
y |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
#s(literal -1/3 binary64) |
x |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
y |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) y) |
#s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 x x))) |
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 x x)) |
(/.f64 x y) |
x |
y |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
#s(literal 1/3 binary64) |
x |
#s(literal -4/3 binary64) |
#s(literal 1 binary64) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) | |
| accuracy | 0.03515625 | (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.15625 | (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) | |
| accuracy | 4.9891959051873105 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) | |
| accuracy | 0.0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 5.1024771551873105 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 31.112402219384503 | #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.1953125 | (*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x)) | |
| accuracy | 0.34375 | (*.f64 #s(literal 1/3 binary64) x) | |
| accuracy | 30.881242431501196 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x))) | |
| accuracy | 0.0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 5.1024771551873105 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 31.47047470438111 | #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) | |
| accuracy | 0.0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 0.13671875 | (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| accuracy | 0.15234375 | (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
| 49.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 159 to 26 computations (83.6% saved)
ival-mult: 14.0ms (39.5% of total)const: 9.0ms (25.4% of total)ival-div: 6.0ms (16.9% of total)ival-add: 3.0ms (8.5% of total)ival-sub: 2.0ms (5.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x)) |
(/.f64 x y) |
(*.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
| Outputs |
|---|
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
1 |
(+ 1 (* -1/3 x)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
(* 1/3 (/ (pow x 2) y)) |
(/ x y) |
(* 1/3 x) |
(pow x 2) |
(+ 1 (* -4/3 x)) |
(+ 1 (* x (- (* 1/3 x) 4/3))) |
-4/3 |
(- (* 1/3 x) 4/3) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* -1/3 x) |
(* x (- (/ 1 x) 1/3)) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (- 1 x) y) |
(* 3 y) |
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((* (+ (* -1/3 x) 1) (/ (- 1 x) y)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (+ (* -1/3 x) 1) (/ (- 1 x) y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (* 1/3 x)) (/ x y) (* 1/3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ (+ (* (+ (* 1/3 x) -4/3) x) 1) y) (+ (* (+ (* 1/3 x) -4/3) x) 1) (+ (* 1/3 x) -4/3)) |
| 3.0ms | y | @ | 0 | ((* (+ (* -1/3 x) 1) (/ (- 1 x) y)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (+ (* -1/3 x) 1) (/ (- 1 x) y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (* 1/3 x)) (/ x y) (* 1/3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ (+ (* (+ (* 1/3 x) -4/3) x) 1) y) (+ (* (+ (* 1/3 x) -4/3) x) 1) (+ (* 1/3 x) -4/3)) |
| 2.0ms | y | @ | inf | ((* (+ (* -1/3 x) 1) (/ (- 1 x) y)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (+ (* -1/3 x) 1) (/ (- 1 x) y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (* 1/3 x)) (/ x y) (* 1/3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ (+ (* (+ (* 1/3 x) -4/3) x) 1) y) (+ (* (+ (* 1/3 x) -4/3) x) 1) (+ (* 1/3 x) -4/3)) |
| 2.0ms | x | @ | inf | ((* (+ (* -1/3 x) 1) (/ (- 1 x) y)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (+ (* -1/3 x) 1) (/ (- 1 x) y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (* 1/3 x)) (/ x y) (* 1/3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ (+ (* (+ (* 1/3 x) -4/3) x) 1) y) (+ (* (+ (* 1/3 x) -4/3) x) 1) (+ (* 1/3 x) -4/3)) |
| 2.0ms | x | @ | -inf | ((* (+ (* -1/3 x) 1) (/ (- 1 x) y)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (+ (* -1/3 x) 1) (/ (- 1 x) y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (* 1/3 x)) (/ x y) (* 1/3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ (+ (* (+ (* 1/3 x) -4/3) x) 1) y) (+ (* (+ (* 1/3 x) -4/3) x) 1) (+ (* 1/3 x) -4/3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 310 |
| 1 | 281 | 304 |
| 2 | 694 | 280 |
| 3 | 2249 | 266 |
| 0 | 8147 | 240 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
1 |
(+ 1 (* -1/3 x)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
(* 1/3 (/ (pow x 2) y)) |
(/ x y) |
(* 1/3 x) |
(pow x 2) |
(+ 1 (* -4/3 x)) |
(+ 1 (* x (- (* 1/3 x) 4/3))) |
-4/3 |
(- (* 1/3 x) 4/3) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* -1/3 x) |
(* x (- (/ 1 x) 1/3)) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (- 1 x) y) |
(* 3 y) |
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y) |
| Outputs |
|---|
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/3 x)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -4 x)) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
(+ 3 (* x (- x 4))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) x) |
(/ x y) |
(/.f64 x y) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(pow x 2) |
(*.f64 x x) |
(+ 1 (* -4/3 x)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 1/3 x) 4/3))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
-4/3 |
#s(literal -4/3 binary64) |
(- (* 1/3 x) 4/3) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* x (- (/ 1 x) 1/3)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) x) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(fma.f64 #s(literal -4 binary64) x (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(*.f64 (+.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal -3 binary64) x)) x) x) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) x) x) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) x))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(*.f64 (+.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal -3 binary64) x)) x) x) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/3 binary64) x) #s(literal 1/3 binary64))) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 168 |
| 0 | 47 | 168 |
| 1 | 156 | 168 |
| 2 | 991 | 168 |
| 0 | 8385 | 168 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x)) |
(/.f64 x y) |
(*.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (-.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (-.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))))) |
(*.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) x))) |
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(-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -4/3 binary64))) (/.f64 #s(literal 16/9 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -4/3 binary64)))) |
(-.f64 #s(literal -4/3 binary64) (*.f64 x #s(literal -1/3 binary64))) |
(+.f64 (/.f64 #s(literal -64/27 binary64) (+.f64 #s(literal 16/9 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal -4/9 binary64))))) (/.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 16/9 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal -4/9 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 16/9 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal -4/9 binary64))))) (/.f64 #s(literal -64/27 binary64) (+.f64 #s(literal 16/9 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal -4/9 binary64)))))) |
(+.f64 (/.f64 #s(literal -64/27 binary64) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 16/9 binary64) (*.f64 #s(literal -4/9 binary64) x)))) (/.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 16/9 binary64) (*.f64 #s(literal -4/9 binary64) x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 16/9 binary64) (*.f64 #s(literal -4/9 binary64) x)))) (/.f64 #s(literal -64/27 binary64) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 16/9 binary64) (*.f64 #s(literal -4/9 binary64) x))))) |
(+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -4/3 binary64)) |
Compiled 16 277 to 1 887 computations (88.4% saved)
17 alts after pruning (8 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 471 | 3 | 474 |
| Fresh | 2 | 5 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 473 | 17 | 490 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 56.8% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 43.7% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 50.6% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
| 99.6% | (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) | |
| ✓ | 92.2% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
| ▶ | 57.0% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
| 43.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) y)) | |
| 43.9% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (+ (* (+ (* 1/3 x) -4/3) x) 1) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x)) y)) | |
| ✓ | 50.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 99.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| ▶ | 89.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #s(approx (/ (- 1 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x)))) |
| ▶ | 51.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) |
| ✓ | 99.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 99.7% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 51.3% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x))) |
| ✓ | 50.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
| ▶ | 51.1% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) (-.f64 #s(literal 1 binary64) x))) |
Compiled 542 to 398 computations (26.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ (- 1 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #s(approx (/ (- 1 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x))) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #s(approx (/ (- 1 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x)))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/3 binary64) y) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) (-.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) | |
| cost-diff | 0 | #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (-.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 1 | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 329 |
| 0 | 65 | 329 |
| 1 | 106 | 329 |
| 2 | 175 | 329 |
| 3 | 295 | 329 |
| 4 | 516 | 321 |
| 5 | 910 | 321 |
| 6 | 1711 | 321 |
| 7 | 3526 | 321 |
| 8 | 6541 | 321 |
| 0 | 8159 | 321 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(*.f64 y #s(literal 3 binary64)) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
(fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
#s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) |
#s(literal -4/3 binary64) |
x |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
#s(literal 1/3 binary64) |
x |
#s(literal -4/3 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) y) x) |
(/.f64 #s(literal -1/3 binary64) y) |
#s(literal -1/3 binary64) |
y |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #s(approx (/ (- 1 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x)))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #s(approx (/ (- 1 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
#s(literal -1/3 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (/ (- 1 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 #s(literal 1 binary64) y) |
y |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(*.f64 y #s(literal 3 binary64)) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
(fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
#s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) |
#s(literal -4/3 binary64) |
x |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
#s(literal 1/3 binary64) |
x |
#s(literal -4/3 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) y) x) |
(/.f64 #s(literal -1/3 binary64) y) |
#s(literal -1/3 binary64) |
y |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #s(approx (/ (- 1 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (- 1 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #s(approx (/ (- 1 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x))) |
(*.f64 #s(approx (/ (- 1 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
#s(literal -1/3 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (/ (- 1 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 #s(literal 1 binary64) y) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #s(approx (/ (- 1 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x))) | |
| accuracy | 0.15234375 | (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) | |
| accuracy | 0.2109375 | (/.f64 (/.f64 #s(literal 1 binary64) y) x) | |
| accuracy | 6.774344691096647 | (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x) | |
| accuracy | 0.0703125 | (*.f64 #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.1796875 | (*.f64 (/.f64 #s(literal -1/3 binary64) y) x) | |
| accuracy | 0.30078125 | (/.f64 #s(literal -1/3 binary64) y) | |
| accuracy | 30.990048146914045 | #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) | |
| accuracy | 0.15625 | (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) | |
| accuracy | 0.15625 | (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) | |
| accuracy | 0.2109375 | (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) | |
| accuracy | 30.731736014276954 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) | |
| accuracy | 0.0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) | |
| accuracy | 0.03515625 | (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 4.9891959051873105 | (/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) | |
| accuracy | 31.694278346075873 | #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) | |
| accuracy | 0.0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.0703125 | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.234375 | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) |
| 63.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 228 to 35 computations (84.6% saved)
ival-mult: 17.0ms (36.6% of total)ival-div: 13.0ms (28% of total)const: 9.0ms (19.4% of total)ival-sub: 4.0ms (8.6% of total)ival-add: 3.0ms (6.5% 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 3 binary64) x) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 3 binary64) x) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
(fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
#s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) y) x) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #s(approx (/ (- 1 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x)))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #s(approx (/ (- 1 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
#s(approx (/ (- 1 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 y #s(literal 3 binary64)) |
(/.f64 #s(literal -1/3 binary64) y) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) y) x) |
| Outputs |
|---|
(/ 1 y) |
(+ (* -1/3 (/ x y)) (/ 1 y)) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
3 |
(+ 3 (* -1 x)) |
1 |
(+ 1 (* -4/3 x)) |
(+ 1 (* x (- (* 1/3 x) 4/3))) |
-4/3 |
(- (* 1/3 x) 4/3) |
(* -4/3 (/ x y)) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) |
(/ -4/3 y) |
(- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))) |
(* -1/3 (/ x y)) |
(+ 1 (* -1/3 x)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/ 1 (* x y)) |
(* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* -1 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(* 1/3 x) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(* 1/3 (/ x y)) |
(* x (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* -1/3 x) |
(* x (- (/ 1 x) 1/3)) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 4/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* 1/3 (/ (- 3 x) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (- (* 1/3 x) 4/3) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(/ (- 1 x) y) |
(* 3 y) |
(/ -1/3 y) |
(/ (* x (- (/ 1 x) 1)) y) |
(* -1 (/ (* x (- 1 (/ 1 x))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((/ (- 3 x) (* y 3)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ (- 3 x) (* y 3)) (- 1 x)) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ (+ (* (+ (* 1/3 x) -4/3) x) 1) y) (+ (* (+ (* 1/3 x) -4/3) x) 1) (+ (* 1/3 x) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ (+ (* 1/3 x) -4/3) y) x) (/ (+ (* 1/3 x) -4/3) y) (+ (* 1/3 x) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ (+ (* -1/3 x) 1) y) (- 1 x)) (/ (+ (* -1/3 x) 1) y) (* (/ -1/3 y) x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (+ (* -1/3 x) 1) (/ (- 1 x) y)) (+ (* -1/3 x) 1) (/ (- 1 x) y) (* y 3) (/ -1/3 y) (* (- (/ (/ 1 y) x) (/ 1 y)) x) (/ (/ 1 y) x)) |
| 5.0ms | y | @ | -inf | ((/ (- 3 x) (* y 3)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ (- 3 x) (* y 3)) (- 1 x)) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ (+ (* (+ (* 1/3 x) -4/3) x) 1) y) (+ (* (+ (* 1/3 x) -4/3) x) 1) (+ (* 1/3 x) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ (+ (* 1/3 x) -4/3) y) x) (/ (+ (* 1/3 x) -4/3) y) (+ (* 1/3 x) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ (+ (* -1/3 x) 1) y) (- 1 x)) (/ (+ (* -1/3 x) 1) y) (* (/ -1/3 y) x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (+ (* -1/3 x) 1) (/ (- 1 x) y)) (+ (* -1/3 x) 1) (/ (- 1 x) y) (* y 3) (/ -1/3 y) (* (- (/ (/ 1 y) x) (/ 1 y)) x) (/ (/ 1 y) x)) |
| 4.0ms | y | @ | 0 | ((/ (- 3 x) (* y 3)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ (- 3 x) (* y 3)) (- 1 x)) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ (+ (* (+ (* 1/3 x) -4/3) x) 1) y) (+ (* (+ (* 1/3 x) -4/3) x) 1) (+ (* 1/3 x) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ (+ (* 1/3 x) -4/3) y) x) (/ (+ (* 1/3 x) -4/3) y) (+ (* 1/3 x) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ (+ (* -1/3 x) 1) y) (- 1 x)) (/ (+ (* -1/3 x) 1) y) (* (/ -1/3 y) x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (+ (* -1/3 x) 1) (/ (- 1 x) y)) (+ (* -1/3 x) 1) (/ (- 1 x) y) (* y 3) (/ -1/3 y) (* (- (/ (/ 1 y) x) (/ 1 y)) x) (/ (/ 1 y) x)) |
| 4.0ms | y | @ | inf | ((/ (- 3 x) (* y 3)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ (- 3 x) (* y 3)) (- 1 x)) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ (+ (* (+ (* 1/3 x) -4/3) x) 1) y) (+ (* (+ (* 1/3 x) -4/3) x) 1) (+ (* 1/3 x) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ (+ (* 1/3 x) -4/3) y) x) (/ (+ (* 1/3 x) -4/3) y) (+ (* 1/3 x) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ (+ (* -1/3 x) 1) y) (- 1 x)) (/ (+ (* -1/3 x) 1) y) (* (/ -1/3 y) x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (+ (* -1/3 x) 1) (/ (- 1 x) y)) (+ (* -1/3 x) 1) (/ (- 1 x) y) (* y 3) (/ -1/3 y) (* (- (/ (/ 1 y) x) (/ 1 y)) x) (/ (/ 1 y) x)) |
| 3.0ms | x | @ | -inf | ((/ (- 3 x) (* y 3)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ (- 3 x) (* y 3)) (- 1 x)) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ (+ (* (+ (* 1/3 x) -4/3) x) 1) y) (+ (* (+ (* 1/3 x) -4/3) x) 1) (+ (* 1/3 x) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ (+ (* 1/3 x) -4/3) y) x) (/ (+ (* 1/3 x) -4/3) y) (+ (* 1/3 x) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ (+ (* -1/3 x) 1) y) (- 1 x)) (/ (+ (* -1/3 x) 1) y) (* (/ -1/3 y) x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (+ (* -1/3 x) 1) (/ (- 1 x) y)) (+ (* -1/3 x) 1) (/ (- 1 x) y) (* y 3) (/ -1/3 y) (* (- (/ (/ 1 y) x) (/ 1 y)) x) (/ (/ 1 y) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 379 |
| 1 | 297 | 367 |
| 2 | 671 | 367 |
| 3 | 2271 | 365 |
| 4 | 7618 | 365 |
| 0 | 8114 | 332 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 y) |
(+ (* -1/3 (/ x y)) (/ 1 y)) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
3 |
(+ 3 (* -1 x)) |
1 |
(+ 1 (* -4/3 x)) |
(+ 1 (* x (- (* 1/3 x) 4/3))) |
-4/3 |
(- (* 1/3 x) 4/3) |
(* -4/3 (/ x y)) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) |
(/ -4/3 y) |
(- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))) |
(* -1/3 (/ x y)) |
(+ 1 (* -1/3 x)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/ 1 (* x y)) |
(* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* -1 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(* 1/3 x) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(* 1/3 (/ x y)) |
(* x (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* -1/3 x) |
(* x (- (/ 1 x) 1/3)) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 4/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* 1/3 (/ (- 3 x) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (- (* 1/3 x) 4/3) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(/ (- 1 x) y) |
(* 3 y) |
(/ -1/3 y) |
(/ (* x (- (/ 1 x) 1)) y) |
(* -1 (/ (* x (- 1 (/ 1 x))) y)) |
| Outputs |
|---|
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1/3 (/ x y)) (/ 1 y)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -1 x)) |
(-.f64 #s(literal 3 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -4/3 x)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 1/3 x) 4/3))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
-4/3 |
#s(literal -4/3 binary64) |
(- (* 1/3 x) 4/3) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -4/3 binary64)) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 x y)) |
(/ -4/3 y) |
(/.f64 #s(literal -4/3 binary64) y) |
(- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) |
(* -1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/3 binary64)) |
(+ 1 (* -1/3 x)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ 1 (* x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y)))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 x y)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* x (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* x (- (/ 1 x) 1/3)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) x) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 x y)) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (neg.f64 x)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(*.f64 (-.f64 (/.f64 #s(literal 4/3 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* 4/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 x) y)) |
(* 1/3 (/ (- 3 x) y)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 x y)) |
(/ (- (* 1/3 x) 4/3) y) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
(/ (+ 1 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(/ -1/3 y) |
(/.f64 #s(literal -1/3 binary64) y) |
(/ (* x (- (/ 1 x) 1)) y) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 x y)) |
(* -1 (/ (* x (- 1 (/ 1 x))) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 x) y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 291 |
| 0 | 65 | 291 |
| 1 | 205 | 283 |
| 2 | 1369 | 275 |
| 0 | 8115 | 275 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 3 binary64) x) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
(fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
#s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) y) x) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #s(approx (/ (- 1 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x)))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #s(approx (/ (- 1 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
#s(approx (/ (- 1 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 y #s(literal 3 binary64)) |
(/.f64 #s(literal -1/3 binary64) y) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) y) x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))) |
(/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 3 binary64))) y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) x) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) x)) (neg.f64 y)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 3 binary64))) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y))) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)))) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 y #s(literal 3 binary64)) x))) (neg.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) x) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) x) (pow.f64 y #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (neg.f64 y) (*.f64 y #s(literal -1 binary64)))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) y (*.f64 y #s(literal 1 binary64)))) (neg.f64 (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) y) (*.f64 #s(literal 3 binary64) (/.f64 x #s(literal 3 binary64)))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 x y))) #s(literal 9 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) (*.f64 #s(literal -3 binary64) y)) (*.f64 #s(literal 3 binary64) (neg.f64 x))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) (*.f64 y #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) y) y)) |
(/.f64 (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 x y))) (*.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 #s(literal -3 binary64) y)) (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -3 binary64) y) x)) (*.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 y #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 y) (/.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 #s(literal -3 binary64) (*.f64 (neg.f64 y) (/.f64 x y))) (*.f64 #s(literal -3 binary64) y)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) y)) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (*.f64 y #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(/.f64 (-.f64 #s(literal 3 binary64) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 x y))) (*.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) y)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal -3 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 (neg.f64 y)) x)) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 y #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 y (/.f64 x #s(literal 3 binary64)))) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 3 binary64) (*.f64 y (/.f64 x y))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) y)) (*.f64 y (neg.f64 x))) (*.f64 y (*.f64 #s(literal -3 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) (*.f64 y x)) (*.f64 y (*.f64 y #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 y #s(literal 3 binary64)) y)) |
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 x y))) (*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) y)) (*.f64 (*.f64 y #s(literal 3 binary64)) (neg.f64 x))) (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) y))) |
(/.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (neg.f64 y) (*.f64 #s(literal 3 binary64) (neg.f64 (*.f64 #s(literal -1/3 binary64) x)))) (*.f64 #s(literal -3 binary64) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) y (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -1/3 binary64) x))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (neg.f64 y) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 #s(literal -3 binary64) y)) |
(/.f64 (fma.f64 #s(literal -3 binary64) (neg.f64 y) (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 (*.f64 #s(literal -1/3 binary64) x)))) (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 y))) |
(/.f64 (fma.f64 #s(literal -3 binary64) y (*.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 #s(literal -1/3 binary64) x))) (*.f64 (*.f64 #s(literal -3 binary64) y) y)) |
(/.f64 (fma.f64 #s(literal -3 binary64) (neg.f64 y) (*.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 y))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 (neg.f64 y) (neg.f64 (*.f64 #s(literal -1/3 binary64) x)))) (*.f64 y y)) |
(/.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 (neg.f64 y) (*.f64 #s(literal -1/3 binary64) x))) (*.f64 (neg.f64 y) y)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 y y)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 #s(literal -1/3 binary64) x)))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(/.f64 (fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal -1/3 binary64) x))) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 y (neg.f64 (*.f64 #s(literal -1/3 binary64) x)))) (*.f64 y (neg.f64 y))) |
(/.f64 (fma.f64 #s(literal 1 binary64) y (*.f64 y (*.f64 #s(literal -1/3 binary64) x))) (*.f64 y y)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 y (*.f64 #s(literal 1/3 binary64) x))) (*.f64 y (neg.f64 y))) |
(/.f64 (fma.f64 #s(literal -3 binary64) y (*.f64 (*.f64 y #s(literal 3 binary64)) (neg.f64 (*.f64 #s(literal -1/3 binary64) x)))) (*.f64 (*.f64 y #s(literal 3 binary64)) (neg.f64 y))) |
(/.f64 (fma.f64 y #s(literal 3 binary64) (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -1/3 binary64) x))) (*.f64 (*.f64 y #s(literal 3 binary64)) y)) |
(/.f64 (fma.f64 #s(literal -3 binary64) y (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 y #s(literal 3 binary64)) (neg.f64 y))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) x)) #s(literal 3 binary64) (*.f64 (neg.f64 y) (/.f64 #s(literal 3 binary64) y))) (*.f64 #s(literal -3 binary64) y)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) x)) (*.f64 #s(literal -3 binary64) y) (*.f64 (neg.f64 y) #s(literal -3 binary64))) (*.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) y))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) x)) (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1 binary64))) (*.f64 y y)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) x)) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (neg.f64 (neg.f64 y)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) x)) y (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) y)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) x)) (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) y)) (*.f64 (neg.f64 y) (*.f64 y #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64) (*.f64 y (/.f64 #s(literal 3 binary64) y))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 #s(literal -3 binary64) y) (*.f64 #s(literal -3 binary64) y)) (*.f64 y (*.f64 #s(literal -3 binary64) y))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (neg.f64 (neg.f64 y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (neg.f64 (neg.f64 y)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 y #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64) (*.f64 (neg.f64 y) (/.f64 #s(literal 3 binary64) y))) (*.f64 #s(literal -3 binary64) y)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal -3 binary64) y) (*.f64 (neg.f64 y) #s(literal -3 binary64))) (*.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) y))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1 binary64))) (*.f64 y y)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (neg.f64 (neg.f64 y)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) y)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) y)) (*.f64 (neg.f64 y) (*.f64 y #s(literal 3 binary64)))) |
(/.f64 (-.f64 #s(literal -3 binary64) (neg.f64 x)) (*.f64 #s(literal -3 binary64) y)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) x) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) x) (pow.f64 y #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x))) y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y)) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x))) (neg.f64 (*.f64 #s(literal -3 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 y #s(literal 3 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (neg.f64 y) (*.f64 y #s(literal -1 binary64))) (*.f64 y (neg.f64 y))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) y (*.f64 y #s(literal 1 binary64))) (*.f64 y y)) |
(/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) |
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 y #s(literal 3 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x))) y)) |
(/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y) |
(/.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (*.f64 #s(literal -3 binary64) y)) |
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(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1/3 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) x)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) x))))) |
(+.f64 (pow.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x)))) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x)) |
#s(approx (/ (- 1 x) y) (*.f64 (/.f64 x x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal -1/3 binary64) y) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 y)) |
(neg.f64 (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 (/.f64 x x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (/.f64 x y)) |
(*.f64 (/.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) y) x) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 x x)) |
(*.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))) x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal -3 binary64)) (pow.f64 y #s(literal -3 binary64))) x)) (neg.f64 (+.f64 (+.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x) (pow.f64 y #s(literal -2 binary64))) (pow.f64 (*.f64 y x) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (neg.f64 (*.f64 y x))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal -3 binary64)) (pow.f64 y #s(literal -3 binary64))))) (neg.f64 (+.f64 (+.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x) (pow.f64 y #s(literal -2 binary64))) (pow.f64 (*.f64 y x) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (*.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))) x) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal -3 binary64)) (pow.f64 y #s(literal -3 binary64))) x) (+.f64 (+.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x) (pow.f64 y #s(literal -2 binary64))) (pow.f64 (*.f64 y x) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 y x)) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y x))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal -3 binary64)) (pow.f64 y #s(literal -3 binary64)))) (+.f64 (+.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x) (pow.f64 y #s(literal -2 binary64))) (pow.f64 (*.f64 y x) #s(literal -2 binary64)))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 y x)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (*.f64 y x) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) x)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (neg.f64 x))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal -1 binary64))) |
Compiled 22 215 to 2 590 computations (88.3% saved)
19 alts after pruning (6 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 564 | 4 | 568 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 9 | 9 |
| Total | 566 | 19 | 585 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 56.8% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 43.7% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 50.6% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
| 99.6% | (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) | |
| ✓ | 92.2% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
| ✓ | 57.0% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
| 43.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) y)) | |
| ✓ | 50.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| 51.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 x y))) | |
| ✓ | 99.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| 89.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #s(approx (/ (- 1 x) y) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) y) x)))) | |
| ✓ | 51.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) |
| ✓ | 99.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 99.7% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 51.3% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x))) |
| ✓ | 50.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
| 10.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* 1/3 x) -4/3) y) (/.f64 #s(literal -4/3 binary64) y)) x)) | |
| ✓ | 51.1% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) (-.f64 #s(literal 1 binary64) x))) |
| 10.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ (+ (* 1/3 x) -4/3) y) x) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
Compiled 953 to 426 computations (55.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ (+ (* 1/3 x) -4/3) y) x) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* 1/3 x) -4/3) y) (/.f64 #s(literal -4/3 binary64) y)) x)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) y)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 x y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (+ (* (+ (* 1/3 x) -4/3) x) 1) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x)) y)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #s(approx (/ (- 1 x) y) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) y) x)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #s(approx (/ (- 1 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x)))) |
(*.f64 #s(approx (/ (- 3 x) y) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
5 calls:
| 21.0ms | (*.f64 y #s(literal 3 binary64)) |
| 7.0ms | y |
| 7.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 7.0ms | x |
| 5.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (*.f64 y #s(literal 3 binary64)) |
| 99.8% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 99.8% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
Compiled 23 to 24 computations (-4.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ (+ (* 1/3 x) -4/3) y) x) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* 1/3 x) -4/3) y) (/.f64 #s(literal -4/3 binary64) y)) x)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) y)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 x y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (+ (* (+ (* 1/3 x) -4/3) x) 1) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x)) y)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) (-.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) (-.f64 #s(literal 1 binary64) x))) |
5 calls:
| 5.0ms | y |
| 4.0ms | (*.f64 y #s(literal 3 binary64)) |
| 4.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 4.0ms | x |
| 4.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 1 | (*.f64 y #s(literal 3 binary64)) |
| 99.8% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 99.8% | 2 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 99.8% | 3 | x |
| 92.2% | 1 | y |
Compiled 23 to 24 computations (-4.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ (+ (* 1/3 x) -4/3) y) x) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* 1/3 x) -4/3) y) (/.f64 #s(literal -4/3 binary64) y)) x)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) y)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 x y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (+ (* (+ (* 1/3 x) -4/3) x) 1) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x)) y)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) |
1 calls:
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ (+ (* 1/3 x) -4/3) y) x) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* 1/3 x) -4/3) y) (/.f64 #s(literal -4/3 binary64) y)) x)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) y)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 x y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (+ (* (+ (* 1/3 x) -4/3) x) 1) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x)) y)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 x y))) |
3 calls:
| 4.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 4.0ms | x |
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 3 | x |
| 82.4% | 2 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 98.0% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 19 to 18 computations (5.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ (+ (* 1/3 x) -4/3) y) x) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* 1/3 x) -4/3) y) (/.f64 #s(literal -4/3 binary64) y)) x)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) y)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) |
1 calls:
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ (+ (* 1/3 x) -4/3) y) x) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* 1/3 x) -4/3) y) (/.f64 #s(literal -4/3 binary64) y)) x)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) y)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x))) |
1 calls:
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ (+ (* 1/3 x) -4/3) y) x) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* 1/3 x) -4/3) y) (/.f64 #s(literal -4/3 binary64) y)) x)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
1 calls:
| 2.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ (+ (* 1/3 x) -4/3) y) x) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* 1/3 x) -4/3) y) (/.f64 #s(literal -4/3 binary64) y)) x)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(approx (+ (* 1/3 x) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
5 calls:
| 2.0ms | (*.f64 y #s(literal 3 binary64)) |
| 2.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.0% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 57.0% | 1 | (*.f64 y #s(literal 3 binary64)) |
| 57.0% | 1 | y |
| 57.0% | 1 | x |
| 57.0% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 23 to 24 computations (-4.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ (+ (* 1/3 x) -4/3) y) x) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* 1/3 x) -4/3) y) (/.f64 #s(literal -4/3 binary64) y)) x)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ (+ (* 1/3 x) -4/3) y) x) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
5 calls:
| 2.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 2.0ms | x |
| 2.0ms | (*.f64 y #s(literal 3 binary64)) |
| 2.0ms | y |
| 1.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.8% | 1 | (*.f64 y #s(literal 3 binary64)) |
| 56.8% | 2 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 50.8% | 1 | y |
| 56.8% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 57.5% | 2 | x |
Compiled 23 to 24 computations (-4.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
3 calls:
| 1.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 1.0ms | x |
| 1.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.8% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 50.8% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 50.8% | 1 | x |
Compiled 19 to 18 computations (5.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.9972363611531435e+22 | 5.930935095596318e+36 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.100880088178951e+285 | 1.2686999025466282e+288 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.9641098848172085 | 1459.6797947404114 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.9641098848172085 | 1459.6797947404114 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.9641098848172085 | 1459.6797947404114 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.9641098848172085 | 1459.6797947404114 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | -51.1479192166306 | -0.6389600006095598 |
| 5.0ms | 112× | 0 | valid |
Compiled 308 to 252 computations (18.2% saved)
ival-sub: 1.0ms (33% of total)ival-div: 1.0ms (33% of total)ival-mult: 1.0ms (33% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 402 |
| 1 | 99 | 402 |
| 2 | 155 | 402 |
| 3 | 244 | 402 |
| 4 | 387 | 402 |
| 5 | 586 | 402 |
| 6 | 806 | 402 |
| 7 | 1086 | 402 |
| 8 | 1335 | 402 |
| 9 | 1577 | 402 |
| 10 | 1747 | 402 |
| 11 | 1759 | 402 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 99999999999999991611392 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) (-.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 10000000000000000329886110340869674854270880115045078636847583141738025727786089878914788718586324412860117381629402398400588202211517615861824081167237790591132705927077058380451118207922609574937392980048643791654301923722148311225012721166820834263125344653917287293299907083743789056 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 10 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 x y)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 10 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 10 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 10 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
(if (<=.f64 x #s(literal -3/4 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ (+ (* 1/3 x) -4/3) y) x) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 99999999999999991611392 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (/ (+ (* -1/3 x) 1) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) (-.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 10000000000000000329886110340869674854270880115045078636847583141738025727786089878914788718586324412860117381629402398400588202211517615861824081167237790591132705927077058380451118207922609574937392980048643791654301923722148311225012721166820834263125344653917287293299907083743789056 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 10 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 x y)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 10 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 10 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 10 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) |
(if (<=.f64 x #s(literal -3/4 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ (+ (* 1/3 x) -4/3) y) x) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))) |
(if (<=.f64 x #s(literal -3/4 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ (+ (* 1/3 x) -4/3) y) x) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (pow.f64 y #s(literal -1 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (pow.f64 y #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 118 | 338 |
| 1 | 304 | 324 |
| 2 | 740 | 312 |
| 3 | 2673 | 300 |
| 0 | 8573 | 276 |
| 0 | 120 | 379 |
| 1 | 297 | 367 |
| 2 | 671 | 367 |
| 3 | 2271 | 365 |
| 4 | 7618 | 365 |
| 0 | 8114 | 332 |
| 0 | 78 | 195 |
| 1 | 210 | 186 |
| 2 | 529 | 174 |
| 3 | 1975 | 158 |
| 4 | 7397 | 156 |
| 0 | 8255 | 140 |
| 0 | 31 | 156 |
| 0 | 47 | 155 |
| 1 | 150 | 155 |
| 2 | 893 | 152 |
| 3 | 7790 | 152 |
| 0 | 8235 | 152 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 511 to 182 computations (64.4% saved)
(negabs y)
Compiled 1 088 to 320 computations (70.6% saved)
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