
Time bar (total: 5.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 364.0ms | 8 256× | 0 | valid |
ival-mult: 144.0ms (73.3% of total)ival-sub: 39.0ms (19.9% of total)ival-true: 6.0ms (3.1% of total)exact: 5.0ms (2.5% of total)ival-assert: 3.0ms (1.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 x y)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 27.0ms | 512× | 0 | valid |
Compiled 83 to 37 computations (55.4% saved)
ival-mult: 7.0ms (66.9% of total)ival-sub: 2.0ms (19.1% 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 | 16 | 37 |
| 1 | 59 | 37 |
| 2 | 121 | 35 |
| 3 | 323 | 35 |
| 4 | 570 | 35 |
| 5 | 692 | 35 |
| 6 | 709 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 18 | 7 |
| 2 | 35 | 7 |
| 3 | 65 | 7 |
| 4 | 144 | 7 |
| 5 | 191 | 7 |
| 6 | 239 | 7 |
| 7 | 319 | 7 |
| 8 | 387 | 7 |
| 9 | 404 | 7 |
| 10 | 404 | 7 |
| 0 | 404 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x y)) | |
| cost-diff | 0 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 18 | 18 |
| 2 | 35 | 18 |
| 3 | 65 | 18 |
| 4 | 144 | 18 |
| 5 | 191 | 18 |
| 6 | 239 | 18 |
| 7 | 319 | 18 |
| 8 | 387 | 18 |
| 9 | 404 | 18 |
| 10 | 404 | 18 |
| 0 | 404 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
#s(literal 1 binary64) |
(*.f64 x y) |
y |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
#s(literal 1 binary64) |
(*.f64 x y) |
(*.f64 y x) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x y)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.0703125 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 17.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-mult: 5.0ms (76.7% of total)ival-sub: 1.0ms (15.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 x y) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* x y))) |
(* x y) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* x (- (/ 1 x) y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(+ x (* -1 (* (pow x 2) y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (- (/ 1 y) x)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* y (+ (* -1 x) (/ 1 y))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1.0ms | x | @ | -inf | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1.0ms | x | @ | inf | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1.0ms | x | @ | 0 | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1.0ms | y | @ | inf | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 85 |
| 1 | 108 | 75 |
| 2 | 189 | 75 |
| 3 | 514 | 75 |
| 4 | 2427 | 75 |
| 5 | 5821 | 75 |
| 0 | 8047 | 75 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* x y))) |
(* x y) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* x (- (/ 1 x) y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(+ x (* -1 (* (pow x 2) y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (- (/ 1 y) x)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* y (+ (* -1 x) (/ 1 y))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 x) (*.f64 y x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 31 | 15 |
| 2 | 190 | 15 |
| 3 | 1497 | 15 |
| 0 | 9602 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) y)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 x)) y)))))) |
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y x #s(literal 1 binary64)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) |
(*.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (neg.f64 x)) y) x)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (*.f64 (*.f64 x x) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 x)) y)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x))) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal -1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))) (+.f64 x (*.f64 (*.f64 x x) y))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 x)) y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (fma.f64 y x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 (*.f64 x x) y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 x)) y)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))) |
(/.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 x (neg.f64 x)) y x) |
(fma.f64 (neg.f64 y) (*.f64 x x) x) |
(fma.f64 (*.f64 x x) (neg.f64 y) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) y) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 x (neg.f64 x)) y)) |
(fma.f64 (neg.f64 x) (*.f64 y x) x) |
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(fma.f64 (*.f64 y x) (neg.f64 x) x) |
(fma.f64 y (*.f64 (neg.f64 x) x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x (neg.f64 x)) y)) |
(fma.f64 x (*.f64 (neg.f64 y) x) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x (neg.f64 x)) y)) |
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(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 x x) y) (fma.f64 y x #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 y x #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))))) (fma.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 y x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 1 binary64))) |
(+.f64 (*.f64 y x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y #s(literal -1 binary64))) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/2 binary64))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y x) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 x y) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (neg.f64 y) x)) |
(/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(neg.f64 (*.f64 (neg.f64 y) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 y x))) |
(+.f64 #s(literal 0 binary64) (*.f64 y x)) |
Compiled 20 370 to 1 646 computations (91.9% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 611 | 9 | 620 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 612 | 9 | 621 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| 67.1% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) | |
| ▶ | 79.4% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
| ▶ | 91.2% | (-.f64 x (*.f64 (*.f64 x x) y)) |
| 81.9% | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) | |
| ▶ | 81.9% | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
| 70.3% | (*.f64 x (*.f64 (-.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))))) | |
| 49.4% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) | |
| ▶ | 52.1% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
Compiled 248 to 166 computations (33.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (*.f64 y x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) | |
| cost-diff | 6080 | (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) | |
| cost-diff | 7552 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | (pow.f64 (*.f64 y x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) | |
| cost-diff | 7552 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) y) | |
| cost-diff | 0 | (-.f64 x (*.f64 (*.f64 x x) y)) | |
| cost-diff | 0 | #s(approx (- 1 (* x y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 150 |
| 0 | 41 | 134 |
| 1 | 80 | 134 |
| 2 | 142 | 132 |
| 3 | 302 | 132 |
| 4 | 820 | 132 |
| 5 | 1650 | 132 |
| 6 | 2335 | 132 |
| 7 | 3211 | 132 |
| 8 | 4185 | 132 |
| 9 | 4906 | 132 |
| 10 | 5871 | 132 |
| 11 | 7648 | 132 |
| 0 | 8124 | 132 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
x |
#s(approx (- 1 (* x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 x (*.f64 (*.f64 x x) y)) |
x |
(*.f64 (*.f64 x x) y) |
(*.f64 x x) |
y |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(fma.f64 y x #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 y) x) |
(*.f64 x (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) |
x |
#s(approx (- 1 (* x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 x (*.f64 (*.f64 x x) y)) |
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) |
x |
(*.f64 (*.f64 x x) y) |
(*.f64 x x) |
y |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x y) #s(literal 2 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(literal 2 binary64) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 x y #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x y) #s(literal 2 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(literal 2 binary64) |
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(/.f64 x (fma.f64 x y #s(literal 1 binary64))) |
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 x y #s(literal 1 binary64)) |
#s(literal -1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.23691304145836312 | (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| accuracy | 0.2421875 | (pow.f64 (*.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 3.08990698019928 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) | |
| accuracy | 7.729584688122381 | (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.2421875 | (pow.f64 (*.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 0.7430711603663136 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) | |
| accuracy | 11.942247430526752 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.01171875 | (-.f64 x (*.f64 (*.f64 x x) y)) | |
| accuracy | 7.471215740736035 | (*.f64 (*.f64 x x) y) | |
| accuracy | 0.0703125 | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) | |
| accuracy | 30.901597372637244 | #s(approx (- 1 (* x y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 (neg.f64 y) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.0625 | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| 77.0ms | 256× | 0 | valid |
Compiled 305 to 51 computations (83.3% saved)
ival-pow2: 35.0ms (56.4% of total)ival-mult: 14.0ms (22.6% of total)ival-sub: 3.0ms (4.8% of total)ival-pow: 3.0ms (4.8% of total)ival-div: 2.0ms (3.2% of total)ival-add: 2.0ms (3.2% of total)ival-neg: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (- 1 (* x y)) #s(literal 1 binary64)) |
(-.f64 x (*.f64 (*.f64 x x) y)) |
(*.f64 (*.f64 x x) y) |
(*.f64 x x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 y x) |
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 (* x y)) |
1 |
(+ 1 (* -1 (* x y))) |
(* (pow x 2) y) |
(pow x 2) |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(* (pow x 2) (pow y 2)) |
(* x (+ 1 (* x (- (* x (pow y 2)) y)))) |
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))) |
(* x y) |
(+ 1 (* x (- (* x (pow y 2)) y))) |
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* x (- (/ 1 x) y)) |
(* (pow x 2) (- (/ 1 x) y)) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) |
(/ 1 (* x y)) |
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(+ x (* -1 (* (pow x 2) y))) |
(* -1 y) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(+ x (* y (- (* (pow x 3) y) (pow x 2)))) |
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2)))) |
(+ 1 (* y (- (* (pow x 2) y) x))) |
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (- (/ 1 y) x)) |
(* y (- (/ x y) (pow x 2))) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(/ (- 1 (/ 1 (* x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y) |
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2))))) |
(* -1 (/ (- (/ 1 (* x y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y)) |
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | ((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (- x (* (* x x) y)) (* (* x x) y) (* x x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* (- 1 (pow (* y x) 2)) (* (pow (+ (* y x) 1) -1) x)) (* (pow (+ (* y x) 1) -1) x) (* y x) (pow (+ (* y x) 1) -1)) |
| 3.0ms | x | @ | inf | ((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (- x (* (* x x) y)) (* (* x x) y) (* x x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* (- 1 (pow (* y x) 2)) (* (pow (+ (* y x) 1) -1) x)) (* (pow (+ (* y x) 1) -1) x) (* y x) (pow (+ (* y x) 1) -1)) |
| 3.0ms | y | @ | inf | ((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (- x (* (* x x) y)) (* (* x x) y) (* x x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* (- 1 (pow (* y x) 2)) (* (pow (+ (* y x) 1) -1) x)) (* (pow (+ (* y x) 1) -1) x) (* y x) (pow (+ (* y x) 1) -1)) |
| 3.0ms | y | @ | -inf | ((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (- x (* (* x x) y)) (* (* x x) y) (* x x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* (- 1 (pow (* y x) 2)) (* (pow (+ (* y x) 1) -1) x)) (* (pow (+ (* y x) 1) -1) x) (* y x) (pow (+ (* y x) 1) -1)) |
| 2.0ms | x | @ | 0 | ((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (- x (* (* x x) y)) (* (* x x) y) (* x x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* (- 1 (pow (* y x) 2)) (* (pow (+ (* y x) 1) -1) x)) (* (pow (+ (* y x) 1) -1) x) (* y x) (pow (+ (* y x) 1) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 203 | 876 |
| 1 | 620 | 799 |
| 2 | 1477 | 740 |
| 3 | 5313 | 738 |
| 0 | 8274 | 723 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 (* x y)) |
1 |
(+ 1 (* -1 (* x y))) |
(* (pow x 2) y) |
(pow x 2) |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(* (pow x 2) (pow y 2)) |
(* x (+ 1 (* x (- (* x (pow y 2)) y)))) |
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))) |
(* x y) |
(+ 1 (* x (- (* x (pow y 2)) y))) |
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* x (- (/ 1 x) y)) |
(* (pow x 2) (- (/ 1 x) y)) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) |
(/ 1 (* x y)) |
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(+ x (* -1 (* (pow x 2) y))) |
(* -1 y) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(+ x (* y (- (* (pow x 3) y) (pow x 2)))) |
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2)))) |
(+ 1 (* y (- (* (pow x 2) y) x))) |
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (- (/ 1 y) x)) |
(* y (- (/ x y) (pow x 2))) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(/ (- 1 (/ 1 (* x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y) |
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2))))) |
(* -1 (/ (- (/ 1 (* x y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y)) |
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(pow x 2) |
(*.f64 x x) |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y) x) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) y)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(* x (+ 1 (* x (- (* x (pow y 2)) y)))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 x y #s(literal -1 binary64))) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))) |
(*.f64 (fma.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 x y #s(literal -1 binary64))) x y) #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 x y) |
(+ 1 (* x (- (* x (pow y 2)) y))) |
(fma.f64 (*.f64 y (fma.f64 x y #s(literal -1 binary64))) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))) |
(fma.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 x y #s(literal -1 binary64))) x y) #s(literal 1 binary64)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* (pow x 2) (- (/ 1 x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y) x) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 x x) y)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 x y)) #s(literal -1 binary64)) y) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 x y)) #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(/ 1 (* x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 x y)) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x) |
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 x y)) #s(literal -1 binary64)) y) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 x y)) #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) x) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y) x) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 x y)) #s(literal -1 binary64)) y) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y)) |
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 x y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 x y)) #s(literal -1 binary64)) y) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) |
(* -1 y) |
(neg.f64 y) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y) x) |
(+ x (* y (- (* (pow x 3) y) (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 x y #s(literal -1 binary64))) x #s(literal 1 binary64)) x) |
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2)))) |
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 (neg.f64 y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) y x) |
(+ 1 (* y (- (* (pow x 2) y) x))) |
(fma.f64 (*.f64 y (fma.f64 x y #s(literal -1 binary64))) x #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x))) |
(fma.f64 (neg.f64 y) (*.f64 (fma.f64 (*.f64 y (fma.f64 x y #s(literal -1 binary64))) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* y (- (/ x y) (pow x 2))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y) x) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) y)) |
(/ (- 1 (/ 1 (* x y))) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 x y)) #s(literal -1 binary64)) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y) |
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) y) |
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 x y)) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y) |
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 x y)) #s(literal -1 binary64)) y) x) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y) |
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 x y)) #s(literal -1 binary64)) y) x) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y (pow.f64 y #s(literal 3 binary64))))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) |
(* -1 (/ (- (/ 1 (* x y)) 1) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 x y)) #s(literal -1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 x y)) #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y) |
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 x y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 x y)) #s(literal -1 binary64)) y) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) y)) y) (/.f64 #s(literal -1 binary64) x)) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 112 |
| 0 | 41 | 96 |
| 1 | 161 | 94 |
| 2 | 945 | 94 |
| 0 | 8909 | 94 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (- 1 (* x y)) #s(literal 1 binary64)) |
(-.f64 x (*.f64 (*.f64 x x) y)) |
(*.f64 (*.f64 x x) y) |
(*.f64 x x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 y x) |
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 x y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (fma.f64 x (neg.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (fma.f64 x (neg.f64 y) #s(literal -1 binary64))) (fma.f64 x y #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 x (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (pow.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x)) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (fma.f64 (*.f64 x y) x x)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 x y #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 x y) x x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x y) x x))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (fma.f64 (*.f64 x y) x x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x)) |
(*.f64 x (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x y) x x)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x y) x x))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 x y) x x)) (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 x y) x x)))) (+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x y) x x)) (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 x y) x x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (*.f64 x y) x x))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (*.f64 x y) x x)))) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x y) x x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x y) x x)))) (fma.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x y) x x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x y) x x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (*.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))) (-.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (*.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) (-.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x y) x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 x y) x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x y) x x)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x y) x x)) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 x y) x x)) (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 x y) x x)) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x y) x x)) (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 x y) x x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (*.f64 x y) x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x y) x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (*.f64 x y) x x))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (*.f64 x y) x x))) (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x y) x x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x y) x x)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (*.f64 x y) x x))) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x y) x x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))) (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64))))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
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(-.f64 (/.f64 (*.f64 x y) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x y) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(exp.f64 (fma.f64 (log1p.f64 (*.f64 x y)) #s(literal -1/2 binary64) (*.f64 (log1p.f64 (*.f64 x y)) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x y)))) |
(+.f64 (*.f64 (*.f64 x y) (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x y)) (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
Compiled 20 281 to 1 979 computations (90.2% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 784 | 7 | 791 |
| Fresh | 3 | 1 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 789 | 11 | 800 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.0% | (fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x) x x) |
| 56.9% | (fma.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))) x x) | |
| ✓ | 99.9% | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| ▶ | 79.4% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) |
| 27.0% | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) y))) x) (fma.f64 y x #s(literal 1 binary64))) | |
| ▶ | 99.8% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
| ✓ | 91.2% | (-.f64 x (*.f64 (*.f64 x x) y)) |
| ▶ | 81.9% | (*.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
| 49.4% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) | |
| ✓ | 52.1% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ▶ | 44.9% | #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (neg.f64 y) (*.f64 x x))) |
Compiled 261 to 178 computations (31.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 (*.f64 x (neg.f64 y)) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) | |
| cost-diff | 6080 | (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) | |
| cost-diff | 0 | (*.f64 x (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 (*.f64 x (neg.f64 y)) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x) x x) | |
| cost-diff | 1344 | (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (neg.f64 y) (*.f64 x x))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) | |
| cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 213 |
| 0 | 52 | 212 |
| 1 | 104 | 196 |
| 2 | 245 | 188 |
| 3 | 696 | 185 |
| 4 | 2208 | 182 |
| 5 | 5697 | 182 |
| 0 | 8499 | 182 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(neg.f64 y) |
y |
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(neg.f64 y) |
y |
(*.f64 x x) |
x |
(fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x) x x) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x) |
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
x |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) |
(*.f64 (*.f64 x (neg.f64 y)) x) |
(*.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
#s(literal 1 binary64) |
(fma.f64 y x #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) |
(*.f64 (*.f64 x (neg.f64 y)) x) |
(*.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(neg.f64 y) |
y |
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (neg.f64 y) (*.f64 x x))) |
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(neg.f64 y) |
y |
(*.f64 x x) |
x |
(fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x) x x) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x) |
(*.f64 (neg.f64 y) x) |
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) |
(neg.f64 y) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
x |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 y) y) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 y) y) x) |
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (neg.f64 y)) x) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 x (neg.f64 y)) |
(*.f64 (neg.f64 y) x) |
x |
(neg.f64 y) |
y |
#s(literal 1 binary64) |
(fma.f64 y x #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 y) y) x) (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (neg.f64 y)) x) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 x (neg.f64 y)) |
(*.f64 (neg.f64 y) x) |
x |
(neg.f64 y) |
y |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(/.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.23691304145836312 | (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| accuracy | 2.820265373358681 | (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) | |
| accuracy | 3.08990698019928 | (*.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) | |
| accuracy | 7.729584688122381 | (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) | |
| accuracy | 0.1171875 | (*.f64 (*.f64 x (neg.f64 y)) x) | |
| accuracy | 0.7430711603663136 | (*.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) x) | |
| accuracy | 2.820265373358681 | (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) | |
| accuracy | 11.942247430526752 | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 (neg.f64 y) y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.0625 | (fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x) x x) | |
| accuracy | 29.78816921885898 | (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 7.471215740736035 | (*.f64 (neg.f64 y) (*.f64 x x)) | |
| accuracy | 32.32914154051078 | #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (neg.f64 y) (*.f64 x x))) | |
| accuracy | 0 | (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.08203125 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) | |
| accuracy | 0.22128804145836312 | (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) |
| 62.0ms | 256× | 0 | valid |
Compiled 436 to 61 computations (86% saved)
ival-mult: 23.0ms (57.8% of total)ival-div: 6.0ms (15.1% of total)ival-add: 6.0ms (15.1% of total)ival-pow: 3.0ms (7.5% of total)ival-neg: 1.0ms (2.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(neg.f64 y) |
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x) x x) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x) |
(*.f64 (neg.f64 y) y) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) |
(*.f64 (*.f64 x (neg.f64 y)) x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) |
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) |
(+ 1 (* -1 (* x y))) |
(* -1 (* (pow x 2) y)) |
(pow x 2) |
(* -1 (* x y)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(* x (+ 1 (* x (- (* x (pow y 2)) y)))) |
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))) |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
(+ 1 (* x (- (* x (pow y 2)) y))) |
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(/ 1 (* x y)) |
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x) |
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (* x (- y (/ 1 x)))) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(+ x (* -1 (* (pow x 2) y))) |
(+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) |
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) |
(* -1 y) |
(* -1 (pow y 2)) |
(+ x (* y (- (* (pow x 3) y) (pow x 2)))) |
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2)))) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(+ 1 (* y (- (* (pow x 2) y) x))) |
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y) |
(* y (+ (* -1 x) (/ 1 y))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))) |
(/ (- 1 (/ 1 (* x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (/ (- (/ 1 (* x y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y)) |
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | ((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (+ (* (* (neg y) x) x) x) (* (neg y) (* x x)) (* x x) (* (* (neg y) y) (/ 1 y)) (+ (* (* (* (* (neg y) y) (/ 1 y)) x) x) x) (* (* (* (neg y) y) (/ 1 y)) x) (* (neg y) y) (/ (* (+ (* (* (* x (neg y)) x) y) 1) x) (+ (* y x) 1)) (+ (* (* (* x (neg y)) x) y) 1) (* (* x (neg y)) x) (* x (neg y)) (* (pow (+ (* y x) 1) -1) x) (* (+ (* (* (* x (neg y)) x) y) 1) x) (* (+ (* (* (* x (neg y)) x) y) 1) (* (pow (+ (* y x) 1) -1) x)) (pow (+ (* y x) 1) -1)) |
| 3.0ms | y | @ | inf | ((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (+ (* (* (neg y) x) x) x) (* (neg y) (* x x)) (* x x) (* (* (neg y) y) (/ 1 y)) (+ (* (* (* (* (neg y) y) (/ 1 y)) x) x) x) (* (* (* (neg y) y) (/ 1 y)) x) (* (neg y) y) (/ (* (+ (* (* (* x (neg y)) x) y) 1) x) (+ (* y x) 1)) (+ (* (* (* x (neg y)) x) y) 1) (* (* x (neg y)) x) (* x (neg y)) (* (pow (+ (* y x) 1) -1) x) (* (+ (* (* (* x (neg y)) x) y) 1) x) (* (+ (* (* (* x (neg y)) x) y) 1) (* (pow (+ (* y x) 1) -1) x)) (pow (+ (* y x) 1) -1)) |
| 2.0ms | x | @ | -inf | ((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (+ (* (* (neg y) x) x) x) (* (neg y) (* x x)) (* x x) (* (* (neg y) y) (/ 1 y)) (+ (* (* (* (* (neg y) y) (/ 1 y)) x) x) x) (* (* (* (neg y) y) (/ 1 y)) x) (* (neg y) y) (/ (* (+ (* (* (* x (neg y)) x) y) 1) x) (+ (* y x) 1)) (+ (* (* (* x (neg y)) x) y) 1) (* (* x (neg y)) x) (* x (neg y)) (* (pow (+ (* y x) 1) -1) x) (* (+ (* (* (* x (neg y)) x) y) 1) x) (* (+ (* (* (* x (neg y)) x) y) 1) (* (pow (+ (* y x) 1) -1) x)) (pow (+ (* y x) 1) -1)) |
| 2.0ms | x | @ | 0 | ((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (+ (* (* (neg y) x) x) x) (* (neg y) (* x x)) (* x x) (* (* (neg y) y) (/ 1 y)) (+ (* (* (* (* (neg y) y) (/ 1 y)) x) x) x) (* (* (* (neg y) y) (/ 1 y)) x) (* (neg y) y) (/ (* (+ (* (* (* x (neg y)) x) y) 1) x) (+ (* y x) 1)) (+ (* (* (* x (neg y)) x) y) 1) (* (* x (neg y)) x) (* x (neg y)) (* (pow (+ (* y x) 1) -1) x) (* (+ (* (* (* x (neg y)) x) y) 1) x) (* (+ (* (* (* x (neg y)) x) y) 1) (* (pow (+ (* y x) 1) -1) x)) (pow (+ (* y x) 1) -1)) |
| 2.0ms | x | @ | inf | ((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (+ (* (* (neg y) x) x) x) (* (neg y) (* x x)) (* x x) (* (* (neg y) y) (/ 1 y)) (+ (* (* (* (* (neg y) y) (/ 1 y)) x) x) x) (* (* (* (neg y) y) (/ 1 y)) x) (* (neg y) y) (/ (* (+ (* (* (* x (neg y)) x) y) 1) x) (+ (* y x) 1)) (+ (* (* (* x (neg y)) x) y) 1) (* (* x (neg y)) x) (* x (neg y)) (* (pow (+ (* y x) 1) -1) x) (* (+ (* (* (* x (neg y)) x) y) 1) x) (* (+ (* (* (* x (neg y)) x) y) 1) (* (pow (+ (* y x) 1) -1) x)) (pow (+ (* y x) 1) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 266 | 1161 |
| 1 | 810 | 1068 |
| 2 | 1947 | 1018 |
| 3 | 5745 | 1018 |
| 0 | 8099 | 992 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) |
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) |
(+ 1 (* -1 (* x y))) |
(* -1 (* (pow x 2) y)) |
(pow x 2) |
(* -1 (* x y)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(* x (+ 1 (* x (- (* x (pow y 2)) y)))) |
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))) |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
(+ 1 (* x (- (* x (pow y 2)) y))) |
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(/ 1 (* x y)) |
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x) |
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (* x (- y (/ 1 x)))) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(+ x (* -1 (* (pow x 2) y))) |
(+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) |
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) |
(* -1 y) |
(* -1 (pow y 2)) |
(+ x (* y (- (* (pow x 3) y) (pow x 2)))) |
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2)))) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(+ 1 (* y (- (* (pow x 2) y) x))) |
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y) |
(* y (+ (* -1 x) (/ 1 y))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))) |
(/ (- 1 (/ 1 (* x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (/ (- (/ 1 (* x y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y)) |
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) |
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) |
(fma.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 y x #s(literal 1 binary64)) y)) x y) x #s(literal 1 binary64)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(pow x 2) |
(*.f64 x x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x #s(literal 1 binary64)) |
(* x (+ 1 (* x (- (* x (pow y 2)) y)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) y #s(literal 1 binary64)) x) (neg.f64 y) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 y) y) x) |
(+ 1 (* x (- (* x (pow y 2)) y))) |
(fma.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) y #s(literal 1 binary64)) x) (neg.f64 y) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) y) (/.f64 #s(literal 1 binary64) y)) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) x)) x)) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x #s(literal 1 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64)) y) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) y) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 y) y) x) |
(/ 1 (* x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 y x)) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x) |
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64)) y) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)) |
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) x) x) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) y) (/.f64 #s(literal 1 binary64) y))) x) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- y (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64)) y) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y)) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 y) y) x) |
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 y x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64)) y) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) |
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) |
(fma.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 y x #s(literal 1 binary64)) y)) x y) x #s(literal 1 binary64)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(+ x (* y (- (* (pow x 3) y) (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) y #s(literal 1 binary64)) x) |
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2)))) |
(fma.f64 (neg.f64 (fma.f64 x x (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) y (pow.f64 (neg.f64 x) #s(literal 3 binary64))) y))) y x) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 y) y) x) |
(+ 1 (* y (- (* (pow x 2) y) x))) |
(fma.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) y #s(literal 1 binary64)) x) (neg.f64 y) #s(literal 1 binary64)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (/.f64 #s(literal 1 binary64) x)) y) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y) (/.f64 #s(literal 1 binary64) x)) y) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x #s(literal 1 binary64)) |
(/ (- 1 (/ 1 (* x y))) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64)) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y) |
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) y) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 y) y) x) |
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 y x)) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y) (/.f64 #s(literal -1 binary64) x)) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))) y) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y)) |
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y) y) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (/.f64 #s(literal 1 binary64) x))) y) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y) (/.f64 #s(literal 1 binary64) x)) y) |
(* -1 (* y (- x (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (/ (- (/ 1 (* x y)) 1) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y)) y) #s(literal -1 binary64)) y) |
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 y x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y) (/.f64 #s(literal -1 binary64) x)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) y)) y) (/.f64 #s(literal -1 binary64) x)) y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 160 |
| 0 | 52 | 136 |
| 1 | 193 | 116 |
| 2 | 1227 | 104 |
| 0 | 9108 | 104 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(neg.f64 y) |
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x) x x) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x) |
(*.f64 (neg.f64 y) y) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) |
(*.f64 (*.f64 x (neg.f64 y)) x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (-.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (+.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))) |
(*.f64 (/.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) x x) (fma.f64 y x #s(literal 1 binary64))) (-.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) x x) (fma.f64 y x #s(literal 1 binary64))) (+.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) y) x)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) y) x)) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (fma.f64 y x #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) y) x)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) x x)) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) y) x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 y x) (fma.f64 y x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (-.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) x x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 y x) (fma.f64 y x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) x x) (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (-.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 x x)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 x) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 x x)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 y x #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) y) x)) (*.f64 x (-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) y) x))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) y) x)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 (*.f64 y x) (fma.f64 y x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) y) x)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) y) x)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) y) x)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) y) x)) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 y x #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (fma.f64 y x #s(literal -1 binary64))))) |
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(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 y x #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 y x) (fma.f64 y x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (-.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (/.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal 1 binary64))) (fma.f64 y x #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 y x) (fma.f64 y x #s(literal -1 binary64))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (-.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (fma.f64 y x #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) |
(/.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) |
(/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64))) |
(neg.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 y) x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 y) x) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 y x #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 y x #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 y x #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 y) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 y) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64)))) |
(exp.f64 (fma.f64 (log1p.f64 (*.f64 y x)) #s(literal -1/2 binary64) (*.f64 (log1p.f64 (*.f64 y x)) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (log1p.f64 (*.f64 y x)))) |
(+.f64 (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 y) x)) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 y x #s(literal 1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 y x #s(literal 1 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 y) x))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 y x)) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
Compiled 40 727 to 4 311 computations (89.4% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 676 | 4 | 1 680 |
| Fresh | 2 | 1 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 682 | 9 | 1 691 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) x x) |
| ✓ | 99.9% | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| ▶ | 99.8% | (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
| ✓ | 91.2% | (-.f64 x (*.f64 (*.f64 x x) y)) |
| ▶ | 49.4% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
| ✓ | 52.1% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ▶ | 37.7% | #s(approx (+ (* (* (neg y) x) x) x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) y)) |
| ▶ | 44.9% | #s(approx (+ (* (* (neg y) x) x) x) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y))) |
| ✓ | 44.9% | #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (neg.f64 y) (*.f64 x x))) |
Compiled 164 to 116 computations (29.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y x #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) | |
| cost-diff | 960 | (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 y) y) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) | |
| cost-diff | 0 | #s(approx (+ (* (* (neg y) x) x) x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) y)) | |
| cost-diff | 1024 | (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) y) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (* (* (neg y) x) x) x) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y))) | |
| cost-diff | 960 | (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) y) | |
| cost-diff | 0 | #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) x x) | |
| cost-diff | 960 | (/.f64 x (/.f64 #s(literal -1 binary64) y)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 153 |
| 0 | 47 | 148 |
| 1 | 88 | 146 |
| 2 | 165 | 146 |
| 3 | 372 | 146 |
| 4 | 674 | 138 |
| 5 | 1849 | 138 |
| 6 | 4126 | 138 |
| 7 | 6309 | 138 |
| 8 | 7786 | 138 |
| 0 | 8034 | 138 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) x x) |
(/.f64 x (/.f64 #s(literal -1 binary64) y)) |
x |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
x |
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
y |
#s(approx (+ (* (* (neg y) x) x) x) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 x x) |
x |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(approx (+ (* (* (neg y) x) x) x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) y)) |
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) y) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
x |
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
x |
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 y x #s(literal -1 binary64)) |
y |
| Outputs |
|---|
(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) x x) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(/.f64 x (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 x) y) |
x |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
(*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) x) |
x |
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
y |
#s(approx (+ (* (* (neg y) x) x) x) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) y) x)) |
(/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(*.f64 x x) |
x |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(approx (+ (* (* (neg y) x) x) x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) y)) |
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) y) x)) |
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) y) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
x |
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
x |
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 y x #s(literal -1 binary64)) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 y x #s(literal -1 binary64)) | |
| accuracy | 0.08203125 | (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) | |
| accuracy | 0.22128804145836312 | (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) | |
| accuracy | 2.4796993267748415 | (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) | |
| accuracy | 7.154388341583235 | (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) y) | |
| accuracy | 8.126748353101961 | (*.f64 (*.f64 (neg.f64 y) y) x) | |
| accuracy | 32.32914154051078 | #s(approx (+ (* (* (neg y) x) x) x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) y)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 7.502465740736035 | (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 32.32914154051078 | #s(approx (+ (* (* (neg y) x) x) x) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y))) | |
| accuracy | 0 | (*.f64 (neg.f64 x) y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.0703125 | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) | |
| accuracy | 32.92745571775387 | #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.0625 | (fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) x x) | |
| accuracy | 0.21875 | (/.f64 x (/.f64 #s(literal -1 binary64) y)) |
| 97.0ms | 256× | 0 | valid |
Compiled 283 to 58 computations (79.5% saved)
ival-mult: 35.0ms (42.4% of total)ival-add: 33.0ms (39.9% of total)ival-div: 10.0ms (12.1% of total)ival-sub: 3.0ms (3.6% of total)ival-neg: 2.0ms (2.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 x (/.f64 #s(literal -1 binary64) y)) |
(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) x x) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
(/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y)) |
#s(approx (+ (* (* (neg y) x) x) x) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 x x) |
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) y) |
#s(approx (+ (* (* (neg y) x) x) x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) y)) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) |
(fma.f64 y x #s(literal -1 binary64)) |
| Outputs |
|---|
(* -1 (* x y)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* x y))) |
(* -1 x) |
(* -1 (* (pow x 2) y)) |
(pow x 2) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* x (pow y 2))) |
(+ 1 (* x y)) |
(+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) |
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) |
-1 |
(- (* x y) 1) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* x (- (/ 1 x) y)) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x) |
(* x y) |
(* x (- y (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (* x (+ (* -1 y) (/ 1 x)))) |
(+ x (* -1 (* (pow x 2) y))) |
(/ -1 y) |
(+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) |
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (- (/ 1 y) x)) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y) |
(* y (- x (/ 1 y))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (* y (+ (* -1 x) (/ 1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | y | @ | -inf | ((/ x (/ -1 y)) (+ (* (/ x (/ -1 y)) x) x) (/ -1 y) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (/ (* x x) (/ -1 y)) (+ (* (* (neg y) x) x) x) (* x x) (/ (* (* (* (neg y) y) x) x) y) (+ (* (* (neg y) x) x) x) (* (* (* (neg y) y) x) x) (* (* (neg y) y) x) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1)) |
| 2.0ms | x | @ | inf | ((/ x (/ -1 y)) (+ (* (/ x (/ -1 y)) x) x) (/ -1 y) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (/ (* x x) (/ -1 y)) (+ (* (* (neg y) x) x) x) (* x x) (/ (* (* (* (neg y) y) x) x) y) (+ (* (* (neg y) x) x) x) (* (* (* (neg y) y) x) x) (* (* (neg y) y) x) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1)) |
| 2.0ms | x | @ | 0 | ((/ x (/ -1 y)) (+ (* (/ x (/ -1 y)) x) x) (/ -1 y) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (/ (* x x) (/ -1 y)) (+ (* (* (neg y) x) x) x) (* x x) (/ (* (* (* (neg y) y) x) x) y) (+ (* (* (neg y) x) x) x) (* (* (* (neg y) y) x) x) (* (* (neg y) y) x) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1)) |
| 2.0ms | x | @ | -inf | ((/ x (/ -1 y)) (+ (* (/ x (/ -1 y)) x) x) (/ -1 y) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (/ (* x x) (/ -1 y)) (+ (* (* (neg y) x) x) x) (* x x) (/ (* (* (* (neg y) y) x) x) y) (+ (* (* (neg y) x) x) x) (* (* (* (neg y) y) x) x) (* (* (neg y) y) x) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1)) |
| 2.0ms | y | @ | inf | ((/ x (/ -1 y)) (+ (* (/ x (/ -1 y)) x) x) (/ -1 y) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (/ (* x x) (/ -1 y)) (+ (* (* (neg y) x) x) x) (* x x) (/ (* (* (* (neg y) y) x) x) y) (+ (* (* (neg y) x) x) x) (* (* (* (neg y) y) x) x) (* (* (neg y) y) x) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 449 |
| 1 | 389 | 425 |
| 2 | 905 | 415 |
| 3 | 3672 | 415 |
| 0 | 8258 | 399 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* x y)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* x y))) |
(* -1 x) |
(* -1 (* (pow x 2) y)) |
(pow x 2) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* x (pow y 2))) |
(+ 1 (* x y)) |
(+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) |
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) |
-1 |
(- (* x y) 1) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* x (- (/ 1 x) y)) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x) |
(* x y) |
(* x (- y (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (* x (+ (* -1 y) (/ 1 x)))) |
(+ x (* -1 (* (pow x 2) y))) |
(/ -1 y) |
(+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) |
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (- (/ 1 y) x)) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y) |
(* y (- x (/ 1 y))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (* y (+ (* -1 x) (/ 1 y)))) |
| Outputs |
|---|
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(fma.f64 (*.f64 (neg.f64 x) x) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(pow x 2) |
(*.f64 x x) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) |
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) |
(fma.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 y x #s(literal 1 binary64)) y)) x y) x #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* x y) 1) |
(fma.f64 y x #s(literal -1 binary64)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(fma.f64 (*.f64 (neg.f64 x) x) y x) |
(* x (- (/ 1 x) y)) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* x y) |
(*.f64 y x) |
(* x (- y (/ 1 x))) |
(fma.f64 y x #s(literal -1 binary64)) |
(* x (+ (* -1 y) (/ 1 x))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) x) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (+ (* -1 y) (/ 1 x)))) |
(fma.f64 y x #s(literal -1 binary64)) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (*.f64 (neg.f64 x) x) y x) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) |
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) y x) y #s(literal 1 binary64)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(fma.f64 (*.f64 (neg.f64 x) x) y x) |
(* y (- (/ 1 y) x)) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y) (/.f64 #s(literal 1 binary64) x)) y) |
(* y (- x (/ 1 y))) |
(fma.f64 y x #s(literal -1 binary64)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(fma.f64 (*.f64 (neg.f64 x) x) y x) |
(* y (+ (* -1 x) (/ 1 y))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y) (/.f64 #s(literal 1 binary64) x)) y) |
(* -1 (* y (+ (* -1 x) (/ 1 y)))) |
(fma.f64 y x #s(literal -1 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 131 |
| 0 | 47 | 126 |
| 1 | 175 | 114 |
| 2 | 1096 | 114 |
| 0 | 8651 | 114 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 #s(literal -1 binary64) y)) |
(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) x x) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
(/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y)) |
#s(approx (+ (* (* (neg y) x) x) x) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 x x) |
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) y) |
#s(approx (+ (* (* (neg y) x) x) x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) y)) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) |
(fma.f64 y x #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
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(*.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) x #s(literal 1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))) (fma.f64 y x #s(literal 1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (*.f64 (fma.f64 (neg.f64 y) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (*.f64 (fma.f64 (neg.f64 y) x #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) x #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
(neg.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (fma.f64 y x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 y x #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (*.f64 y x) x) (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (fma.f64 y x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y x) (/.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 y) (neg.f64 x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 y x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 x) (neg.f64 y) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) #s(literal -1 binary64)) |
(fma.f64 y (/.f64 (*.f64 (*.f64 y x) x) (fma.f64 y x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 y x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y) #s(literal -1 binary64)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 y x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 x y #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 y) x #s(literal 1 binary64))) |
(-.f64 (*.f64 y x) #s(literal 1 binary64)) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 y x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 y x)) |
Compiled 14 552 to 2 174 computations (85.1% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 769 | 1 | 770 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 769 | 10 | 779 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) x x) |
| ✓ | 99.9% | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| ✓ | 99.8% | (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
| ✓ | 91.2% | (-.f64 x (*.f64 (*.f64 x x) y)) |
| ✓ | 49.4% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
| ✓ | 52.1% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ✓ | 37.7% | #s(approx (+ (* (* (neg y) x) x) x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) y)) |
| 49.4% | #s(approx (+ (* (* (neg y) x) x) x) (/.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) x))) | |
| ✓ | 44.9% | #s(approx (+ (* (* (neg y) x) x) x) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y))) |
| ✓ | 44.9% | #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (neg.f64 y) (*.f64 x x))) |
Compiled 422 to 176 computations (58.3% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(-.f64 x (*.f64 (*.f64 x x) y)) |
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
#s(approx (+ (* (* (neg y) x) x) x) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (+ (* (* (neg y) x) x) x) (/.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (* (neg y) x) x) x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) y)) |
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) x x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x) x x) |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) y))) x) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))) x x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 x (*.f64 (-.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))))) |
| Outputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
3 calls:
| 27.0ms | y |
| 7.0ms | x |
| 6.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(-.f64 x (*.f64 (*.f64 x x) y)) |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) |
3 calls:
| 18.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.7% | 3 | x |
| 74.9% | 3 | y |
| 84.2% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (neg.f64 y) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (neg.f64 y) (*.f64 x x))) |
1 calls:
| 1.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.2% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 7 to 6 computations (14.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
3 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.1% | 1 | y |
| 52.1% | 1 | x |
| 52.1% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 9 to 10 computations (-11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.8664700731979574e+98 | 6.4452613860623435e+103 |
| 0.0ms | -2.294566317906155e+153 | -2.743054691118613e+146 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.8664700731979574e+98 | 6.4452613860623435e+103 |
| 0.0ms | -2.294566317906155e+153 | -2.743054691118613e+146 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 135 |
| 1 | 54 | 135 |
| 2 | 67 | 135 |
| 3 | 79 | 135 |
| 4 | 83 | 135 |
| 5 | 84 | 135 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 499999999999999983668084402058345636924766592903277736458980889735647922960863931304369934227734528 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))))) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (neg.f64 y) (*.f64 x x))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 499999999999999983668084402058345636924766592903277736458980889735647922960863931304369934227734528 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (neg.f64 y) (*.f64 x x))))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 499999999999999983668084402058345636924766592903277736458980889735647922960863931304369934227734528 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal -1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) x) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal 499999999999999983668084402058345636924766592903277736458980889735647922960863931304369934227734528 binary64)) (*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) (*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) x))) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (neg.f64 y) (*.f64 x x))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 499999999999999983668084402058345636924766592903277736458980889735647922960863931304369934227734528 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (neg.f64 y) (*.f64 x x))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal -1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal 499999999999999983668084402058345636924766592903277736458980889735647922960863931304369934227734528 binary64)) (*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 85 |
| 1 | 108 | 75 |
| 2 | 189 | 75 |
| 3 | 514 | 75 |
| 4 | 2427 | 75 |
| 5 | 5821 | 75 |
| 0 | 8047 | 75 |
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 31 | 15 |
| 2 | 190 | 15 |
| 3 | 1497 | 15 |
| 0 | 9602 | 13 |
| 0 | 203 | 876 |
| 1 | 620 | 799 |
| 2 | 1477 | 740 |
| 3 | 5313 | 738 |
| 0 | 8274 | 723 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 184 to 71 computations (61.4% saved)
Compiled 284 to 74 computations (73.9% saved)
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