
Time bar (total: 7.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 9 computations (18.2% saved)
| 843.0ms | 8 256× | 0 | valid |
ival-mult: 477.0ms (76% of total)ival-div: 95.0ms (15.1% of total)ival-sub: 42.0ms (6.7% of total)ival-true: 6.0ms (1% of total)exact: 4.0ms (0.6% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 67 | 0 | - | 5 | (6.691406106741953e-51 -2.2757807146722871e-271) | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x #s(literal 2 binary64)) y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) | o/n | 34 | 0 |
| ↳ | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | overflow | 34 | |
/.f64 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) | u/n | 28 | 0 |
| ↳ | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | underflow | 28 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 62 | 5 |
| - | 0 | 189 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 62 | 0 | 5 |
| - | 0 | 0 | 189 |
| number | freq |
|---|---|
| 0 | 194 |
| 1 | 62 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 35.0ms | 512× | 0 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-mult: 7.0ms (50.7% of total)ival-sub: 3.0ms (21.7% of total)ival-div: 3.0ms (21.7% 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 | 19 | 53 |
| 1 | 62 | 45 |
| 2 | 212 | 45 |
| 3 | 780 | 45 |
| 4 | 2705 | 45 |
| 5 | 3395 | 45 |
| 6 | 3579 | 45 |
| 7 | 3593 | 45 |
| 8 | 3608 | 45 |
| 9 | 3613 | 45 |
| 10 | 3613 | 45 |
| 11 | 3817 | 45 |
| 12 | 3913 | 45 |
| 13 | 3913 | 45 |
| 14 | 4017 | 45 |
| 15 | 4614 | 45 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 19 | 9 |
| 2 | 40 | 9 |
| 3 | 64 | 9 |
| 4 | 84 | 9 |
| 5 | 148 | 9 |
| 6 | 322 | 9 |
| 7 | 708 | 9 |
| 8 | 1610 | 9 |
| 9 | 2525 | 9 |
| 10 | 2542 | 9 |
| 11 | 2556 | 9 |
| 12 | 2568 | 9 |
| 13 | 2568 | 9 |
| 0 | 2568 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.1% | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 19 | 23 |
| 2 | 40 | 23 |
| 3 | 64 | 23 |
| 4 | 84 | 23 |
| 5 | 148 | 23 |
| 6 | 322 | 23 |
| 7 | 708 | 23 |
| 8 | 1610 | 23 |
| 9 | 2525 | 23 |
| 10 | 2542 | 23 |
| 11 | 2556 | 23 |
| 12 | 2568 | 23 |
| 13 | 2568 | 23 |
| 0 | 2568 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
y |
(-.f64 x y) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 y (*.f64 #s(literal 2 binary64) x)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
y |
(-.f64 x y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | |
| accuracy | 0.0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 15.301051735028256 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 53.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-mult: 43.0ms (92.2% of total)ival-div: 2.0ms (4.3% of total)ival-sub: 1.0ms (2.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 x #s(literal 2 binary64)) |
(-.f64 x y) |
| Outputs |
|---|
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(* 2 (* x y)) |
(* 2 x) |
(* -1 y) |
(- x y) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* -1 (* x (- (/ y x) 1))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(+ x (* -1 y)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(* y (- (/ x y) 1)) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y)) |
| 2.0ms | x | @ | -inf | ((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y)) |
| 1.0ms | x | @ | 0 | ((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y)) |
| 1.0ms | y | @ | inf | ((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y)) |
| 1.0ms | y | @ | -inf | ((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 337 |
| 1 | 378 | 323 |
| 2 | 1027 | 303 |
| 3 | 3113 | 297 |
| 4 | 6493 | 297 |
| 0 | 8219 | 268 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(* 2 (* x y)) |
(* 2 x) |
(* -1 y) |
(- x y) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* -1 (* x (- (/ y x) 1))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(+ x (* -1 y)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(* y (- (/ x y) 1)) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
| Outputs |
|---|
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* -2 (/ x y)) 2)) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) x) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) y) y) (fma.f64 (/.f64 x y) x x) (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(*.f64 (fma.f64 y (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(fma.f64 #s(literal 2 binary64) y (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 y y (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x))) x)) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))) y #s(literal 2 binary64)) y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) x) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(*.f64 (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -2 binary64)) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) x) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 40 | 20 |
| 2 | 250 | 20 |
| 3 | 2753 | 20 |
| 0 | 9283 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 x #s(literal 2 binary64)) |
(-.f64 x y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (+.f64 y x) (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) |
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 y x))) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 y y) (neg.f64 (+.f64 y x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (+.f64 x #s(literal 0 binary64)) y) |
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64))) |
(-.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 1 binary64)) (/.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) |
(-.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 y x)) |
(-.f64 x y) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y)) |
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(+.f64 (neg.f64 y) x) |
(+.f64 x (neg.f64 y)) |
Compiled 10 640 to 1 340 computations (87.4% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 414 | 7 | 421 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 415 | 7 | 422 |
| Status | Accuracy | Program |
|---|---|---|
| 48.4% | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))))) | |
| 88.0% | (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) | |
| ▶ | 89.2% | (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
| ▶ | 49.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
| ▶ | 51.0% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
| ▶ | 51.8% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
| ▶ | 49.8% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
Compiled 214 to 140 computations (34.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 y (-.f64 x y)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 135 |
| 0 | 38 | 135 |
| 1 | 62 | 135 |
| 2 | 105 | 135 |
| 3 | 162 | 135 |
| 4 | 218 | 135 |
| 5 | 444 | 135 |
| 6 | 738 | 135 |
| 7 | 1617 | 135 |
| 8 | 2933 | 135 |
| 9 | 3644 | 135 |
| 10 | 3889 | 135 |
| 11 | 3987 | 135 |
| 12 | 4009 | 135 |
| 13 | 4011 | 135 |
| 14 | 4203 | 135 |
| 15 | 4275 | 135 |
| 16 | 4275 | 135 |
| 17 | 4275 | 135 |
| 18 | 4275 | 135 |
| 19 | 4347 | 135 |
| 20 | 4867 | 135 |
| 0 | 4867 | 135 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 y (-.f64 x y)) |
y |
(-.f64 x y) |
x |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
y |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal -2 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 y x))) |
(/.f64 y (-.f64 x y)) |
y |
(-.f64 x y) |
x |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) y y) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(*.f64 (fma.f64 (/.f64 y x) y y) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
y |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal -2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) | |
| accuracy | 0.06640625 | (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) | |
| accuracy | 32.44774955568213 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) | |
| accuracy | 0.0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.05859375 | (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) | |
| accuracy | 0.3337597189687757 | (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) | |
| accuracy | 31.356375871528407 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) y) | |
| accuracy | 30.83564920095437 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) | |
| accuracy | 0.0 | (*.f64 #s(literal -2 binary64) x) | |
| accuracy | 32.122810701852806 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.0078125 | (/.f64 y (-.f64 x y)) | |
| accuracy | 6.926146315960693 | (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
| 110.0ms | 256× | 0 | valid |
Compiled 115 to 23 computations (80% saved)
ival-mult: 33.0ms (74.1% of total)ival-div: 7.0ms (15.7% of total)ival-sub: 2.0ms (4.5% of total)ival-add: 2.0ms (4.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 y (-.f64 x y)) |
(-.f64 x y) |
(*.f64 #s(literal 2 binary64) x) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(/.f64 x y) |
| Outputs |
|---|
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
-1 |
(- (* -1 (/ x y)) 1) |
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1) |
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(* -1 y) |
(- x y) |
(* 2 x) |
(* 2 (/ (pow y 2) x)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(* 2 (/ y x)) |
(/ (+ (* 2 x) (* 2 y)) x) |
(/ 2 x) |
-2 |
(- (* -2 (/ x y)) 2) |
(/ x y) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(/ y x) |
(/ (+ y (/ (pow y 2) x)) x) |
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
2 |
(+ 2 (* 2 (/ y x))) |
(* -2 (/ (pow x 2) y)) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -2 (/ x y)) |
(* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* y (+ (/ 1 x) (/ y (pow x 2)))) |
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(+ x (* -1 y)) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(/ (+ (* -2 x) (* -2 y)) y) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) |
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(* y (- (/ x y) 1)) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | x | @ | 0 | ((* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (- x y) (* 2 x) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* 2 y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y)) |
| 2.0ms | x | @ | -inf | ((* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (- x y) (* 2 x) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* 2 y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y)) |
| 2.0ms | x | @ | inf | ((* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (- x y) (* 2 x) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* 2 y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y)) |
| 2.0ms | y | @ | -inf | ((* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (- x y) (* 2 x) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* 2 y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y)) |
| 2.0ms | y | @ | inf | ((* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (- x y) (* 2 x) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* 2 y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 237 | 732 |
| 1 | 718 | 712 |
| 2 | 2068 | 657 |
| 3 | 6090 | 649 |
| 0 | 8242 | 593 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
-1 |
(- (* -1 (/ x y)) 1) |
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1) |
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(* -1 y) |
(- x y) |
(* 2 x) |
(* 2 (/ (pow y 2) x)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(* 2 (/ y x)) |
(/ (+ (* 2 x) (* 2 y)) x) |
(/ 2 x) |
-2 |
(- (* -2 (/ x y)) 2) |
(/ x y) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(/ y x) |
(/ (+ y (/ (pow y 2) x)) x) |
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
2 |
(+ 2 (* 2 (/ y x))) |
(* -2 (/ (pow x 2) y)) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -2 (/ x y)) |
(* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* y (+ (/ 1 x) (/ y (pow x 2)))) |
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(+ x (* -1 y)) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(/ (+ (* -2 x) (* -2 y)) y) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) |
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(* y (- (/ x y) 1)) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
| Outputs |
|---|
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* -2 (/ x y)) 2)) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 y y))) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ x y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) y)) |
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) y)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 2 binary64)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(*.f64 (*.f64 y (/.f64 (+.f64 x y) x)) #s(literal 2 binary64)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(/ (+ (* 2 x) (* 2 y)) x) |
(*.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
-2 |
#s(literal -2 binary64) |
(- (* -2 (/ x y)) 2) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(/ x y) |
(/.f64 x y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x) y) #s(literal 2 binary64)) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (/ (pow y 2) x)) x) |
(/.f64 (fma.f64 (/.f64 y x) y y) x) |
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x) |
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x) |
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x) y) x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(* -2 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64)) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) |
(* -2 (/ x y)) |
(*.f64 (/.f64 #s(literal -2 binary64) y) x) |
(* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(fma.f64 #s(literal 2 binary64) y (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x) #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) |
(/.f64 (fma.f64 (/.f64 y x) y y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x)) |
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x) y) x) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) y) |
(* y (+ (/ 1 x) (/ y (pow x 2)))) |
(/.f64 (fma.f64 (/.f64 y x) y y) x) |
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))) |
(+.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y) y (/.f64 (fma.f64 (/.f64 y x) y y) x)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) |
(/ (+ (* -2 x) (* -2 y)) y) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -2 binary64)) |
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) y)) |
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) y)) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(fma.f64 #s(literal -2 binary64) x (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (neg.f64 y))) |
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) y)) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 122 |
| 0 | 38 | 122 |
| 1 | 125 | 122 |
| 2 | 726 | 122 |
| 0 | 8363 | 122 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 y (-.f64 x y)) |
(-.f64 x y) |
(*.f64 #s(literal 2 binary64) x) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(/.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y x)) (neg.f64 y)) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (+.f64 x y))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 x y) y (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 y (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) y) (fma.f64 (neg.f64 y) y (*.f64 x x))) (neg.f64 (+.f64 x y))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 x y) y (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 y (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (+.f64 x y) y)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 (+.f64 x y) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 x y) y (*.f64 x x)) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y)) (*.f64 (/.f64 y (-.f64 x y)) x))) (+.f64 x y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (fma.f64 (+.f64 x y) y (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) y)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (/.f64 y (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 x y) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 x y) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 x (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (+.f64 x y) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (/.f64 y (-.f64 y x))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 x y))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 x y))) |
(*.f64 (/.f64 x (-.f64 x y)) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 x y) (pow.f64 (fma.f64 (+.f64 x y) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (fma.f64 (+.f64 x y) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y)) (*.f64 (/.f64 y (-.f64 x y)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y)) (*.f64 (/.f64 y (-.f64 x y)) x)) (+.f64 x y)) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 x y) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) x) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (+.f64 x y) y (*.f64 x x))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 x y) y))) |
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(/.f64 (*.f64 #s(literal -2 binary64) (+.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)) (/.f64 x y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))) (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))) (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))) (fma.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 4 binary64)) #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 4 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal 16 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 4 binary64))) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal 8 binary64)) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 4 binary64)) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -512 binary64) (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 64 binary64))) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 4 binary64)) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 4 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64)) (+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal 16 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal 8 binary64)))) |
(/.f64 (+.f64 #s(literal -512 binary64) (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 64 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 4 binary64)) #s(literal 4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64)) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 4 binary64)) #s(literal 4 binary64))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64))) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 4 binary64)) #s(literal 4 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64)) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 4 binary64)) #s(literal 4 binary64))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) (neg.f64 y)) (neg.f64 x) #s(literal -2 binary64)) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal 8 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64)) |
(fma.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) (/.f64 (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))) |
(fma.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (neg.f64 y)) #s(literal -2 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(fma.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))) |
(fma.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64)) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -2 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))) |
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 x) y) #s(literal -2 binary64)) |
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) #s(literal -2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))) |
(+.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(+.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 x (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
Compiled 16 543 to 2 205 computations (86.7% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 636 | 3 | 639 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 638 | 8 | 646 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.0% | (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) |
| ▶ | 43.1% | (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (+.f64 x y))) |
| ✓ | 89.2% | (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
| ▶ | 51.0% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
| ✓ | 49.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
| ✓ | 51.8% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
| ✓ | 49.8% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
| ▶ | 49.8% | #s(approx (* (/ y (- x y)) (* 2 x)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) |
Compiled 121 to 82 computations (32.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) y) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 2 binary64) x) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 y x))) | |
| cost-diff | 9 | (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (+.f64 x y))) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ y (- x y)) (* 2 x)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 179 |
| 0 | 52 | 188 |
| 1 | 117 | 188 |
| 2 | 352 | 186 |
| 3 | 1683 | 170 |
| 4 | 5403 | 170 |
| 0 | 8066 | 170 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ y (- x y)) (* 2 x)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) |
(/.f64 x y) |
x |
y |
(fma.f64 (/.f64 x y) x x) |
#s(literal -2 binary64) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y) |
(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (+.f64 x y))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 y x))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
y |
(*.f64 (+.f64 x y) (-.f64 y x)) |
(+.f64 x y) |
(-.f64 y x) |
(neg.f64 (+.f64 x y)) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(/.f64 (-.f64 x y) y) |
(-.f64 x y) |
y |
| Outputs |
|---|
#s(approx (* (/ y (- x y)) (* 2 x)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) x))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) |
(fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
(fma.f64 (/.f64 x y) x x) |
#s(literal -2 binary64) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y) |
(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (+.f64 x y))) |
(*.f64 (*.f64 (/.f64 x (-.f64 y x)) y) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 y x))) |
(*.f64 (*.f64 (/.f64 x (+.f64 x y)) y) (/.f64 #s(literal 2 binary64) (-.f64 y x))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
y |
(*.f64 (+.f64 x y) (-.f64 y x)) |
(*.f64 (-.f64 y x) (+.f64 x y)) |
(+.f64 x y) |
(-.f64 y x) |
(neg.f64 (+.f64 x y)) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) |
(*.f64 (*.f64 (/.f64 x (-.f64 y x)) y) #s(literal -2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(/.f64 (-.f64 x y) y) |
(-.f64 x y) |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x y) y) | |
| accuracy | 7.694495466294913 | (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.0 | (neg.f64 (+.f64 x y)) | |
| accuracy | 12.754085777833536 | (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (+.f64 x y))) | |
| accuracy | 23.402546937318295 | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 y x))) | |
| accuracy | 0.0 | (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.05859375 | (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y) | |
| accuracy | 31.356375871528407 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) | |
| accuracy | 0.0 | (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) | |
| accuracy | 0.0625 | (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) | |
| accuracy | 0.06640625 | (fma.f64 (/.f64 x y) x x) | |
| accuracy | 32.15493325612856 | #s(approx (* (/ y (- x y)) (* 2 x)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) |
| 51.0ms | 256× | 0 | valid |
Compiled 165 to 32 computations (80.6% saved)
ival-mult: 16.0ms (43.7% of total)ival-div: 11.0ms (30% of total)ival-add: 4.0ms (10.9% of total)ival-sub: 3.0ms (8.2% of total)ival-neg: 1.0ms (2.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (/ y (- x y)) (* 2 x)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) |
(/.f64 x y) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y) |
(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(/.f64 y x) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (+.f64 x y))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 y x))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) |
(/.f64 (-.f64 x y) y) |
(-.f64 x y) |
(fma.f64 (/.f64 x y) x x) |
(neg.f64 (+.f64 x y)) |
| Outputs |
|---|
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
x |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (* x (+ (/ 1 y) (/ x (pow y 2)))))) |
(/ x y) |
(* 2 (/ (pow y 2) x)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(* 2 (/ y x)) |
(/ (+ (* 2 x) (* 2 y)) x) |
(/ y x) |
(* 2 (/ x y)) |
(* x (+ (* 2 (/ (pow x 2) (pow y 3))) (* 2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 2 (/ (pow x 2) (pow y 5))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 2 (/ (pow x 2) (pow y 7))) (* 2 (/ 1 (pow y 5))))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 y)))) |
(* 2 (* x y)) |
(* 2 x) |
-1 |
(- (/ x y) 1) |
(* -1 y) |
(- x y) |
(- (* -1 x) y) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(* -2 (/ (pow x 3) (pow y 2))) |
(* -1 (* (pow x 3) (+ (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2)))))) |
(* (pow x 3) (- (* -1 (/ (+ (* 2 (/ 1 y)) (* 2 (/ 1 x))) x)) (* 2 (/ 1 (pow y 2))))) |
(/ (pow x 3) (pow y 2)) |
(* (pow x 3) (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(* (pow x 3) (+ (/ 1 (* x y)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) |
2 |
(+ 2 (* 2 (/ y x))) |
(* -2 (/ y x)) |
(/ (+ (* -2 y) (* -2 (/ (* y (+ y (* -1 y))) x))) x) |
(/ (+ (* -2 y) (+ (* -2 (/ (* y (+ y (* -1 y))) x)) (* -2 (/ (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3)) (pow x 2))))) x) |
(/ (+ (* -2 y) (+ (* -2 (/ (* y (+ y (* -1 y))) x)) (+ (* -2 (/ (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3)) (pow x 2))) (* -2 (/ (+ (* (+ y (* -1 y)) (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) (* (pow y 3) (+ y (* -1 y)))) (pow x 3)))))) x) |
(* x (- (/ 1 y) (/ 1 x))) |
(* x (+ 1 (* -1 (/ y x)))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* -1 x) |
(* x (- (* -1 (/ y x)) 1)) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* -1 (* (pow x 3) (+ (* 2 (/ 1 (pow y 2))) (+ (/ 2 (* x y)) (/ 2 (pow x 2)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (/ 1 x) (/ 1 y)) x)) (/ 1 (pow y 2))))) |
(+ (* 2 y) (* 2 (/ (- (pow y 2) (* y (+ y (* -1 y)))) x))) |
(+ (* -1 (/ (+ (* -2 (- (pow y 2) (* y (+ y (* -1 y))))) (* -2 (/ (+ (* -1 (* (+ y (* -1 y)) (- (pow y 2) (* y (+ y (* -1 y)))))) (pow y 3)) x))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (- (pow y 2) (* y (+ y (* -1 y))))) (* -1 (/ (+ (* -2 (/ (+ (* -1 (* (pow y 2) (- (pow y 2) (* y (+ y (* -1 y)))))) (* (+ y (* -1 y)) (+ (* -1 (* (+ y (* -1 y)) (- (pow y 2) (* y (+ y (* -1 y)))))) (pow y 3)))) x)) (* 2 (+ (* -1 (* (+ y (* -1 y)) (- (pow y 2) (* y (+ y (* -1 y)))))) (pow y 3)))) x))) x)) (* 2 y)) |
(* -1 (/ (+ (* -2 (/ (* y (+ y (* -1 y))) x)) (* 2 y)) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3)) x)) (* 2 (* y (+ y (* -1 y))))) x)) (* 2 y)) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* (+ y (* -1 y)) (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) (* (pow y 3) (+ y (* -1 y)))) x)) (* 2 (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3)))) x)) (* 2 (* y (+ y (* -1 y))))) x)) (* 2 y)) x)) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (/ y x)))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(/ (+ (* -2 (* (pow x 2) y)) (* -2 (pow x 3))) (pow y 2)) |
(/ (+ (* -2 (pow x 3)) (* y (+ (* -2 (* x y)) (* -2 (pow x 2))))) (pow y 2)) |
(/ (+ (* (pow x 2) y) (pow x 3)) (pow y 2)) |
(/ (+ (* y (+ (* x y) (pow x 2))) (pow x 3)) (pow y 2)) |
(* y (- (* -2 (/ (pow y 2) (pow x 3))) (* 2 (/ 1 x)))) |
(* y (- (* (pow y 2) (- (* -2 (/ (pow y 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -2 (/ (pow y 2) (pow x 7))) (* 2 (/ 1 (pow x 5))))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))) |
(/ (+ x (* -1 y)) y) |
(+ x (* -1 y)) |
(/ (+ (* x y) (pow x 2)) y) |
(- (* -1 y) x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(+ x (/ (pow x 2) y)) |
(+ x (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(/ (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (* 2 x)) y) |
(/ (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (+ (* -2 (/ (+ (* -1 (* x (pow (+ x (* -1 x)) 2))) (* -1 (pow x 3))) (pow y 2))) (* 2 x))) y) |
(/ (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (+ (* -2 (/ (+ (* -1 (* x (pow (+ x (* -1 x)) 2))) (* -1 (pow x 3))) (pow y 2))) (+ (* -2 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1 (* x (pow (+ x (* -1 x)) 2))) (* -1 (pow x 3))))) (* (pow x 3) (+ x (* -1 x)))) (pow y 3))) (* 2 x)))) y) |
(* y (- (/ x y) 1)) |
(* y (- (* -1 (/ x y)) 1)) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) |
(+ (* -2 x) (* -2 (/ (- (pow x 2) (* x (+ x (* -1 x)))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (- (pow x 2) (* x (+ x (* -1 x))))) (* 2 (/ (+ (* -1 (* (+ x (* -1 x)) (- (pow x 2) (* x (+ x (* -1 x)))))) (pow x 3)) y))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1 (* (+ x (* -1 x)) (- (pow x 2) (* x (+ x (* -1 x)))))) (pow x 3))) (* 2 (/ (+ (* -1 (* (pow x 2) (- (pow x 2) (* x (+ x (* -1 x)))))) (* (+ x (* -1 x)) (+ (* -1 (* (+ x (* -1 x)) (- (pow x 2) (* x (+ x (* -1 x)))))) (pow x 3)))) y))) y)) (* 2 (- (pow x 2) (* x (+ x (* -1 x)))))) y))) |
(* -1 (/ (+ (* -2 x) (* 2 (/ (* x (+ x (* -1 x))) y))) y)) |
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -2 (* x (+ x (* -1 x)))) (* 2 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) y))) y))) y)) |
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -2 (* x (+ x (* -1 x)))) (* -1 (/ (+ (* -2 (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* 2 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) y))) y))) y))) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (/ x y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((* (/ y (- x y)) (* 2 x)) (* (+ (* (/ x y) (+ (* (/ x y) x) x)) x) -2) (+ (* (/ x y) (+ (* (/ x y) x) x)) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ y x) 2) 2) y) (+ (* (/ y x) 2) 2) (/ y x) (* (/ (* (* 2 x) y) (* (+ x y) (- y x))) (neg (+ x y))) (/ (* (* 2 x) y) (* (+ x y) (- y x))) (* (* 2 x) y) (* 2 x) (/ (* 2 x) (/ (- x y) y)) (/ (- x y) y) (- x y) (+ (* (/ x y) x) x) (neg (+ x y))) |
| 4.0ms | y | @ | -inf | ((* (/ y (- x y)) (* 2 x)) (* (+ (* (/ x y) (+ (* (/ x y) x) x)) x) -2) (+ (* (/ x y) (+ (* (/ x y) x) x)) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ y x) 2) 2) y) (+ (* (/ y x) 2) 2) (/ y x) (* (/ (* (* 2 x) y) (* (+ x y) (- y x))) (neg (+ x y))) (/ (* (* 2 x) y) (* (+ x y) (- y x))) (* (* 2 x) y) (* 2 x) (/ (* 2 x) (/ (- x y) y)) (/ (- x y) y) (- x y) (+ (* (/ x y) x) x) (neg (+ x y))) |
| 4.0ms | x | @ | -inf | ((* (/ y (- x y)) (* 2 x)) (* (+ (* (/ x y) (+ (* (/ x y) x) x)) x) -2) (+ (* (/ x y) (+ (* (/ x y) x) x)) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ y x) 2) 2) y) (+ (* (/ y x) 2) 2) (/ y x) (* (/ (* (* 2 x) y) (* (+ x y) (- y x))) (neg (+ x y))) (/ (* (* 2 x) y) (* (+ x y) (- y x))) (* (* 2 x) y) (* 2 x) (/ (* 2 x) (/ (- x y) y)) (/ (- x y) y) (- x y) (+ (* (/ x y) x) x) (neg (+ x y))) |
| 3.0ms | y | @ | 0 | ((* (/ y (- x y)) (* 2 x)) (* (+ (* (/ x y) (+ (* (/ x y) x) x)) x) -2) (+ (* (/ x y) (+ (* (/ x y) x) x)) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ y x) 2) 2) y) (+ (* (/ y x) 2) 2) (/ y x) (* (/ (* (* 2 x) y) (* (+ x y) (- y x))) (neg (+ x y))) (/ (* (* 2 x) y) (* (+ x y) (- y x))) (* (* 2 x) y) (* 2 x) (/ (* 2 x) (/ (- x y) y)) (/ (- x y) y) (- x y) (+ (* (/ x y) x) x) (neg (+ x y))) |
| 3.0ms | x | @ | inf | ((* (/ y (- x y)) (* 2 x)) (* (+ (* (/ x y) (+ (* (/ x y) x) x)) x) -2) (+ (* (/ x y) (+ (* (/ x y) x) x)) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ y x) 2) 2) y) (+ (* (/ y x) 2) 2) (/ y x) (* (/ (* (* 2 x) y) (* (+ x y) (- y x))) (neg (+ x y))) (/ (* (* 2 x) y) (* (+ x y) (- y x))) (* (* 2 x) y) (* 2 x) (/ (* 2 x) (/ (- x y) y)) (/ (- x y) y) (- x y) (+ (* (/ x y) x) x) (neg (+ x y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 432 | 1433 |
| 1 | 1282 | 1185 |
| 2 | 4642 | 1097 |
| 0 | 8419 | 1038 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
x |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (* x (+ (/ 1 y) (/ x (pow y 2)))))) |
(/ x y) |
(* 2 (/ (pow y 2) x)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(* 2 (/ y x)) |
(/ (+ (* 2 x) (* 2 y)) x) |
(/ y x) |
(* 2 (/ x y)) |
(* x (+ (* 2 (/ (pow x 2) (pow y 3))) (* 2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 2 (/ (pow x 2) (pow y 5))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 2 (/ (pow x 2) (pow y 7))) (* 2 (/ 1 (pow y 5))))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 y)))) |
(* 2 (* x y)) |
(* 2 x) |
-1 |
(- (/ x y) 1) |
(* -1 y) |
(- x y) |
(- (* -1 x) y) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(* -2 (/ (pow x 3) (pow y 2))) |
(* -1 (* (pow x 3) (+ (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2)))))) |
(* (pow x 3) (- (* -1 (/ (+ (* 2 (/ 1 y)) (* 2 (/ 1 x))) x)) (* 2 (/ 1 (pow y 2))))) |
(/ (pow x 3) (pow y 2)) |
(* (pow x 3) (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(* (pow x 3) (+ (/ 1 (* x y)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) |
2 |
(+ 2 (* 2 (/ y x))) |
(* -2 (/ y x)) |
(/ (+ (* -2 y) (* -2 (/ (* y (+ y (* -1 y))) x))) x) |
(/ (+ (* -2 y) (+ (* -2 (/ (* y (+ y (* -1 y))) x)) (* -2 (/ (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3)) (pow x 2))))) x) |
(/ (+ (* -2 y) (+ (* -2 (/ (* y (+ y (* -1 y))) x)) (+ (* -2 (/ (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3)) (pow x 2))) (* -2 (/ (+ (* (+ y (* -1 y)) (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) (* (pow y 3) (+ y (* -1 y)))) (pow x 3)))))) x) |
(* x (- (/ 1 y) (/ 1 x))) |
(* x (+ 1 (* -1 (/ y x)))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* -1 x) |
(* x (- (* -1 (/ y x)) 1)) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* -1 (* (pow x 3) (+ (* 2 (/ 1 (pow y 2))) (+ (/ 2 (* x y)) (/ 2 (pow x 2)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (/ 1 x) (/ 1 y)) x)) (/ 1 (pow y 2))))) |
(+ (* 2 y) (* 2 (/ (- (pow y 2) (* y (+ y (* -1 y)))) x))) |
(+ (* -1 (/ (+ (* -2 (- (pow y 2) (* y (+ y (* -1 y))))) (* -2 (/ (+ (* -1 (* (+ y (* -1 y)) (- (pow y 2) (* y (+ y (* -1 y)))))) (pow y 3)) x))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (- (pow y 2) (* y (+ y (* -1 y))))) (* -1 (/ (+ (* -2 (/ (+ (* -1 (* (pow y 2) (- (pow y 2) (* y (+ y (* -1 y)))))) (* (+ y (* -1 y)) (+ (* -1 (* (+ y (* -1 y)) (- (pow y 2) (* y (+ y (* -1 y)))))) (pow y 3)))) x)) (* 2 (+ (* -1 (* (+ y (* -1 y)) (- (pow y 2) (* y (+ y (* -1 y)))))) (pow y 3)))) x))) x)) (* 2 y)) |
(* -1 (/ (+ (* -2 (/ (* y (+ y (* -1 y))) x)) (* 2 y)) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3)) x)) (* 2 (* y (+ y (* -1 y))))) x)) (* 2 y)) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* (+ y (* -1 y)) (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) (* (pow y 3) (+ y (* -1 y)))) x)) (* 2 (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3)))) x)) (* 2 (* y (+ y (* -1 y))))) x)) (* 2 y)) x)) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (/ y x)))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(/ (+ (* -2 (* (pow x 2) y)) (* -2 (pow x 3))) (pow y 2)) |
(/ (+ (* -2 (pow x 3)) (* y (+ (* -2 (* x y)) (* -2 (pow x 2))))) (pow y 2)) |
(/ (+ (* (pow x 2) y) (pow x 3)) (pow y 2)) |
(/ (+ (* y (+ (* x y) (pow x 2))) (pow x 3)) (pow y 2)) |
(* y (- (* -2 (/ (pow y 2) (pow x 3))) (* 2 (/ 1 x)))) |
(* y (- (* (pow y 2) (- (* -2 (/ (pow y 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -2 (/ (pow y 2) (pow x 7))) (* 2 (/ 1 (pow x 5))))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))) |
(/ (+ x (* -1 y)) y) |
(+ x (* -1 y)) |
(/ (+ (* x y) (pow x 2)) y) |
(- (* -1 y) x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(+ x (/ (pow x 2) y)) |
(+ x (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(/ (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (* 2 x)) y) |
(/ (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (+ (* -2 (/ (+ (* -1 (* x (pow (+ x (* -1 x)) 2))) (* -1 (pow x 3))) (pow y 2))) (* 2 x))) y) |
(/ (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (+ (* -2 (/ (+ (* -1 (* x (pow (+ x (* -1 x)) 2))) (* -1 (pow x 3))) (pow y 2))) (+ (* -2 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1 (* x (pow (+ x (* -1 x)) 2))) (* -1 (pow x 3))))) (* (pow x 3) (+ x (* -1 x)))) (pow y 3))) (* 2 x)))) y) |
(* y (- (/ x y) 1)) |
(* y (- (* -1 (/ x y)) 1)) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) |
(+ (* -2 x) (* -2 (/ (- (pow x 2) (* x (+ x (* -1 x)))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (- (pow x 2) (* x (+ x (* -1 x))))) (* 2 (/ (+ (* -1 (* (+ x (* -1 x)) (- (pow x 2) (* x (+ x (* -1 x)))))) (pow x 3)) y))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1 (* (+ x (* -1 x)) (- (pow x 2) (* x (+ x (* -1 x)))))) (pow x 3))) (* 2 (/ (+ (* -1 (* (pow x 2) (- (pow x 2) (* x (+ x (* -1 x)))))) (* (+ x (* -1 x)) (+ (* -1 (* (+ x (* -1 x)) (- (pow x 2) (* x (+ x (* -1 x)))))) (pow x 3)))) y))) y)) (* 2 (- (pow x 2) (* x (+ x (* -1 x)))))) y))) |
(* -1 (/ (+ (* -2 x) (* 2 (/ (* x (+ x (* -1 x))) y))) y)) |
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -2 (* x (+ x (* -1 x)))) (* 2 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) y))) y))) y)) |
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -2 (* x (+ x (* -1 x)))) (* -1 (/ (+ (* -2 (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* 2 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) y))) y))) y))) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (/ x y)))) |
| Outputs |
|---|
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* -2 (/ x y)) 2)) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (/.f64 #s(literal -2 binary64) y) y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x) |
x |
(* x (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) x x) |
(* x (+ 1 (* x (+ (/ 1 y) (/ x (pow y 2)))))) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) |
(/ x y) |
(/.f64 x y) |
(* 2 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 2 binary64)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(*.f64 (/.f64 (*.f64 y (+.f64 x y)) x) #s(literal 2 binary64)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(/ (+ (* 2 x) (* 2 y)) x) |
(*.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) |
(/ y x) |
(/.f64 y x) |
(* 2 (/ x y)) |
(*.f64 (/.f64 #s(literal 2 binary64) y) x) |
(* x (+ (* 2 (/ (pow x 2) (pow y 3))) (* 2 (/ 1 y)))) |
(*.f64 (*.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) x) |
(* x (+ (* (pow x 2) (+ (* 2 (/ (pow x 2) (pow y 5))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 y)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 5 binary64))) x) x (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 2 (/ (pow x 2) (pow y 7))) (* 2 (/ 1 (pow y 5))))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 y)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) |
(* 2 (* x y)) |
(*.f64 (*.f64 x y) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
-1 |
#s(literal -1 binary64) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- (* -1 x) y) |
(-.f64 (neg.f64 x) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y)) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(* -2 (/ (pow x 3) (pow y 2))) |
(/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -2 binary64)) y) |
(* -1 (* (pow x 3) (+ (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 (/.f64 #s(literal -2 binary64) y) y)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* -1 (/ (+ (* 2 (/ 1 y)) (* 2 (/ 1 x))) x)) (* 2 (/ 1 (pow y 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -2 binary64) y) y) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) y)) x)) (pow.f64 x #s(literal 3 binary64))) |
(/ (pow x 3) (pow y 2)) |
(/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) |
(* (pow x 3) (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (/ 1 (* x y)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (pow.f64 x #s(literal 3 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(* -2 (/ y x)) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(/ (+ (* -2 y) (* -2 (/ (* y (+ y (* -1 y))) x))) x) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(/ (+ (* -2 y) (+ (* -2 (/ (* y (+ y (* -1 y))) x)) (* -2 (/ (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3)) (pow x 2))))) x) |
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) x) y) x)) |
(/ (+ (* -2 y) (+ (* -2 (/ (* y (+ y (* -1 y))) x)) (+ (* -2 (/ (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3)) (pow x 2))) (* -2 (/ (+ (* (+ y (* -1 y)) (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) (* (pow y 3) (+ y (* -1 y)))) (pow x 3)))))) x) |
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) x) y) x)) |
(* x (- (/ 1 y) (/ 1 x))) |
(/.f64 (-.f64 x y) y) |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 (/.f64 (neg.f64 y) x) x x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1 (/ y x)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(fma.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(fma.f64 #s(literal 2 binary64) y (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) y)) (neg.f64 x))) |
(* -1 (* (pow x 3) (+ (* 2 (/ 1 (pow y 2))) (+ (/ 2 (* x y)) (/ 2 (pow x 2)))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 (/.f64 #s(literal 2 binary64) y) y)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (/ 1 x) (/ 1 y)) x)) (/ 1 (pow y 2))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (pow.f64 x #s(literal 3 binary64))) |
(+ (* 2 y) (* 2 (/ (- (pow y 2) (* y (+ y (* -1 y)))) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* -1 (/ (+ (* -2 (- (pow y 2) (* y (+ y (* -1 y))))) (* -2 (/ (+ (* -1 (* (+ y (* -1 y)) (- (pow y 2) (* y (+ y (* -1 y)))))) (pow y 3)) x))) x)) (* 2 y)) |
(fma.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) |
(+ (* -1 (/ (+ (* -2 (- (pow y 2) (* y (+ y (* -1 y))))) (* -1 (/ (+ (* -2 (/ (+ (* -1 (* (pow y 2) (- (pow y 2) (* y (+ y (* -1 y)))))) (* (+ y (* -1 y)) (+ (* -1 (* (+ y (* -1 y)) (- (pow y 2) (* y (+ y (* -1 y)))))) (pow y 3)))) x)) (* 2 (+ (* -1 (* (+ y (* -1 y)) (- (pow y 2) (* y (+ y (* -1 y)))))) (pow y 3)))) x))) x)) (* 2 y)) |
(fma.f64 #s(literal 2 binary64) y (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) y (/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) #s(literal -2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 x))) (neg.f64 x))) |
(* -1 (/ (+ (* -2 (/ (* y (+ y (* -1 y))) x)) (* 2 y)) x)) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3)) x)) (* 2 (* y (+ y (* -1 y))))) x)) (* 2 y)) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 y (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) x))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* (+ y (* -1 y)) (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) (* (pow y 3) (+ y (* -1 y)))) x)) (* 2 (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3)))) x)) (* 2 (* y (+ y (* -1 y))))) x)) (* 2 y)) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 y (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) x))) (neg.f64 x)) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(/.f64 (-.f64 x y) y) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 (neg.f64 y) x) x x) |
(* -1 (* x (+ 1 (/ y x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) y) |
(/ (+ (* -2 (* (pow x 2) y)) (* -2 (pow x 3))) (pow y 2)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (+.f64 x y)) (*.f64 y y)) |
(/ (+ (* -2 (pow x 3)) (* y (+ (* -2 (* x y)) (* -2 (pow x 2))))) (pow y 2)) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (+.f64 x y)) y (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y)) |
(/ (+ (* (pow x 2) y) (pow x 3)) (pow y 2)) |
(*.f64 (*.f64 (/.f64 x y) x) (/.f64 (+.f64 x y) y)) |
(/ (+ (* y (+ (* x y) (pow x 2))) (pow x 3)) (pow y 2)) |
(/.f64 (fma.f64 (*.f64 x (+.f64 x y)) y (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)) |
(* y (- (* -2 (/ (pow y 2) (pow x 3))) (* 2 (/ 1 x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)) y) |
(* y (- (* (pow y 2) (- (* -2 (/ (pow y 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal -2 binary64) x)) y) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -2 (/ (pow y 2) (pow x 7))) (* 2 (/ 1 (pow x 5))))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 7 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 y y) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal -2 binary64) x)) y) |
(/ (+ x (* -1 y)) y) |
(/.f64 (-.f64 x y) y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(/ (+ (* x y) (pow x 2)) y) |
(/.f64 (*.f64 x (+.f64 x y)) y) |
(- (* -1 y) x) |
(-.f64 (neg.f64 x) y) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x)) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(*.f64 #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(+ x (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(/ (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (* 2 x)) y) |
(*.f64 (/.f64 #s(literal 2 binary64) y) x) |
(/ (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (+ (* -2 (/ (+ (* -1 (* x (pow (+ x (* -1 x)) 2))) (* -1 (pow x 3))) (pow y 2))) (* 2 x))) y) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) x)) y) |
(/ (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (+ (* -2 (/ (+ (* -1 (* x (pow (+ x (* -1 x)) 2))) (* -1 (pow x 3))) (pow y 2))) (+ (* -2 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1 (* x (pow (+ x (* -1 x)) 2))) (* -1 (pow x 3))))) (* (pow x 3) (+ x (* -1 x)))) (pow y 3))) (* 2 x)))) y) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) x)) y) |
(* y (- (/ x y) 1)) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* y (- (* -1 (/ x y)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(fma.f64 (/.f64 (*.f64 x (fma.f64 (/.f64 x y) x x)) y) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x)) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(fma.f64 #s(literal -2 binary64) x (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (neg.f64 y))) |
(+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) |
(+.f64 (/.f64 (*.f64 x (fma.f64 (/.f64 x y) x x)) y) x) |
(+ (* -2 x) (* -2 (/ (- (pow x 2) (* x (+ x (* -1 x)))) y))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (- (pow x 2) (* x (+ x (* -1 x))))) (* 2 (/ (+ (* -1 (* (+ x (* -1 x)) (- (pow x 2) (* x (+ x (* -1 x)))))) (pow x 3)) y))) y))) |
(fma.f64 (/.f64 (*.f64 x (fma.f64 (/.f64 x y) x x)) y) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x)) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1 (* (+ x (* -1 x)) (- (pow x 2) (* x (+ x (* -1 x)))))) (pow x 3))) (* 2 (/ (+ (* -1 (* (pow x 2) (- (pow x 2) (* x (+ x (* -1 x)))))) (* (+ x (* -1 x)) (+ (* -1 (* (+ x (* -1 x)) (- (pow x 2) (* x (+ x (* -1 x)))))) (pow x 3)))) y))) y)) (* 2 (- (pow x 2) (* x (+ x (* -1 x)))))) y))) |
(fma.f64 #s(literal -2 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) (neg.f64 y))) (neg.f64 y))) |
(* -1 (/ (+ (* -2 x) (* 2 (/ (* x (+ x (* -1 x))) y))) y)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) y) |
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -2 (* x (+ x (* -1 x)))) (* 2 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) y))) y))) y)) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 x (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y))) (neg.f64 y)) |
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -2 (* x (+ x (* -1 x)))) (* -1 (/ (+ (* -2 (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* 2 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) y))) y))) y))) y)) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 x (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y))) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* -1 (* y (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 151 |
| 0 | 52 | 151 |
| 1 | 210 | 143 |
| 2 | 1690 | 143 |
| 0 | 8711 | 143 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ y (- x y)) (* 2 x)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) |
(/.f64 x y) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y) |
(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(/.f64 y x) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (+.f64 x y))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 y x))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) |
(/.f64 (-.f64 x y) y) |
(-.f64 x y) |
(fma.f64 (/.f64 x y) x x) |
(neg.f64 (+.f64 x y)) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) x))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 (fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y))) (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (pow.f64 (fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y))) (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) x)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) x) #s(literal -2 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal -2 binary64)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y))) (*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y))) (*.f64 #s(literal -2 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal -2 binary64)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal -2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y))) (*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)))) (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal -2 binary64))) (neg.f64 (fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y))) (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y))) (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal -2 binary64)) (fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y))) (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) (neg.f64 x))) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y))) (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) (neg.f64 x)) (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y))) (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) (neg.f64 x)) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y))) (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal -2 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)))) |
(fma.f64 (neg.f64 x) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal -2 binary64))) |
(fma.f64 (neg.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal -2 binary64) x (*.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal -2 binary64))) |
(fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)))) |
(fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal -2 binary64))) |
(fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)))) |
(fma.f64 x #s(literal -2 binary64) (*.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal -2 binary64))) |
(fma.f64 x #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y))) (*.f64 #s(literal -2 binary64) x)) |
(+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal -2 binary64))) |
(+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) (neg.f64 x))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y))) (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) x)) |
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 x y) x x) (*.f64 (/.f64 x y) x)))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y))) (pow.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) x)) #s(literal -1 binary64)) |
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(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (+.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 (+.f64 x y)) (neg.f64 (+.f64 x y))) (*.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x y)))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 x y)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 x y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 x y))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 (neg.f64 x) (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (neg.f64 x) (neg.f64 y))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (-.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 x y)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 x y)))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y)))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(neg.f64 (+.f64 x y)) |
(fma.f64 #s(literal -1 binary64) x (neg.f64 y)) |
(fma.f64 #s(literal -1 binary64) y (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 y #s(literal -1 binary64))) |
(fma.f64 y #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 x y))) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) (neg.f64 y))) (/.f64 (*.f64 y y) (-.f64 (neg.f64 x) (neg.f64 y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 x y))))) (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 x y)))))) |
(-.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 x y))) (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y)))) |
(-.f64 #s(literal 0 binary64) (+.f64 x y)) |
(-.f64 (neg.f64 x) y) |
(-.f64 (neg.f64 y) x) |
(+.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64))) |
(+.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x y))) |
(+.f64 (neg.f64 x) (neg.f64 y)) |
(+.f64 (neg.f64 y) (neg.f64 x)) |
Compiled 26 593 to 3 373 computations (87.3% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 901 | 2 | 903 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 4 | 4 |
| Total | 903 | 8 | 911 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.0% | (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) |
| ▶ | 88.0% | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
| ▶ | 43.1% | (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y)) |
| ✓ | 89.2% | (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
| ✓ | 51.0% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
| ✓ | 49.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
| ✓ | 51.8% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
| ✓ | 49.8% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
Compiled 106 to 76 computations (28.3% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (-.f64 (/.f64 x y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 2 binary64) x) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 x y))) | |
| cost-diff | 8 | (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 78 |
| 0 | 24 | 78 |
| 1 | 55 | 78 |
| 2 | 184 | 72 |
| 3 | 679 | 70 |
| 4 | 1915 | 70 |
| 5 | 4197 | 70 |
| 0 | 8071 | 70 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
y |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(+.f64 x y) |
(-.f64 x y) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
y |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y)) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) x) y) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (*.f64 (/.f64 y (+.f64 y x)) #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(*.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
y |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(*.f64 (-.f64 x y) (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
(-.f64 x y) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 x y) #s(literal 1 binary64))) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
y |
#s(literal 1 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 x y) #s(literal 1 binary64)) | |
| accuracy | 7.694495466294913 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 (*.f64 #s(literal 2 binary64) x) y) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 12.754085777833536 | (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y)) | |
| accuracy | 23.395285840547103 | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 x y))) |
| 148.0ms | 256× | 0 | valid |
Compiled 80 to 16 computations (80% saved)
ival-mult: 101.0ms (92.3% of total)ival-div: 5.0ms (4.6% of total)ival-sub: 2.0ms (1.8% of total)ival-add: 1.0ms (0.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
| Outputs |
|---|
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(* -2 (/ x y)) |
(* x (- (* -2 (/ (pow x 2) (pow y 3))) (* 2 (/ 1 y)))) |
(* x (- (* (pow x 2) (- (* -2 (/ (pow x 2) (pow y 5))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 y)))) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (/ (pow x 2) (pow y 7))) (* 2 (/ 1 (pow y 5))))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 y)))) |
(* 2 (* x y)) |
(* 2 x) |
-1 |
(- (/ x y) 1) |
(/ x y) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(* 2 (/ y x)) |
(/ (+ (* -2 (/ (* y (+ y (* -1 y))) x)) (* 2 y)) x) |
(/ (+ (* -2 (/ (* y (+ y (* -1 y))) x)) (+ (* -2 (/ (+ (* -1 (* y (pow (+ y (* -1 y)) 2))) (* -1 (pow y 3))) (pow x 2))) (* 2 y))) x) |
(/ (+ (* -2 (/ (* y (+ y (* -1 y))) x)) (+ (* -2 (/ (+ (* -1 (* y (pow (+ y (* -1 y)) 2))) (* -1 (pow y 3))) (pow x 2))) (+ (* -2 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (* y (pow (+ y (* -1 y)) 2))) (* -1 (pow y 3))))) (* (pow y 3) (+ y (* -1 y)))) (pow x 3))) (* 2 y)))) x) |
(- (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2)))) (* -2 (/ (pow y 2) x))) |
(- (+ (* 2 y) (* 2 (/ (pow y 4) (pow x 3)))) (+ (* -2 (/ (pow y 2) x)) (* -2 (/ (pow y 3) (pow x 2))))) |
(* x (- (/ 1 y) (/ 1 x))) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* -1 (/ (+ (* -2 y) (* 2 (/ (* y (+ y (* -1 y))) x))) x)) |
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -2 (* y (+ y (* -1 y)))) (* 2 (/ (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3)) x))) x))) x)) |
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -2 (* y (+ y (* -1 y)))) (* -1 (/ (+ (* -2 (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) (* 2 (/ (+ (* (+ y (* -1 y)) (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) (* (pow y 3) (+ y (* -1 y)))) x))) x))) x))) x)) |
(+ (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 4) x)) (* -2 (pow y 3))) x)) (* 2 (pow y 2))) x)) (* 2 y)) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* y (+ (* 2 (/ (pow y 2) (pow x 3))) (* 2 (/ 1 x)))) |
(* y (+ (* (pow y 2) (+ (* 2 (/ (pow y 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))) |
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 2 (/ (pow y 2) (pow x 7))) (* 2 (/ 1 (pow x 5))))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))) |
(/ (+ x (* -1 y)) y) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(/ (+ (* -2 x) (* -2 (/ (* x (+ x (* -1 x))) y))) y) |
(/ (+ (* -2 x) (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (* -2 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) (pow y 2))))) y) |
(/ (+ (* -2 x) (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (+ (* -2 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) (pow y 2))) (* -2 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) (pow y 3)))))) y) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(* -1 (/ (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (* 2 x)) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) y)) (* 2 (* x (+ x (* -1 x))))) y)) (* 2 x)) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) y)) (* 2 (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)))) y)) (* 2 (* x (+ x (* -1 x))))) y)) (* 2 x)) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((* (/ (* (* 2 x) y) (* (+ x y) (- x y))) (+ x y)) (/ (* (* 2 x) y) (* (+ x y) (- x y))) (* (* 2 x) y) (* 2 x) (/ (* 2 x) (- (/ x y) 1)) (- (/ x y) 1) (/ x y)) |
| 2.0ms | x | @ | -inf | ((* (/ (* (* 2 x) y) (* (+ x y) (- x y))) (+ x y)) (/ (* (* 2 x) y) (* (+ x y) (- x y))) (* (* 2 x) y) (* 2 x) (/ (* 2 x) (- (/ x y) 1)) (- (/ x y) 1) (/ x y)) |
| 1.0ms | x | @ | 0 | ((* (/ (* (* 2 x) y) (* (+ x y) (- x y))) (+ x y)) (/ (* (* 2 x) y) (* (+ x y) (- x y))) (* (* 2 x) y) (* 2 x) (/ (* 2 x) (- (/ x y) 1)) (- (/ x y) 1) (/ x y)) |
| 1.0ms | y | @ | -inf | ((* (/ (* (* 2 x) y) (* (+ x y) (- x y))) (+ x y)) (/ (* (* 2 x) y) (* (+ x y) (- x y))) (* (* 2 x) y) (* 2 x) (/ (* 2 x) (- (/ x y) 1)) (- (/ x y) 1) (/ x y)) |
| 1.0ms | y | @ | 0 | ((* (/ (* (* 2 x) y) (* (+ x y) (- x y))) (+ x y)) (/ (* (* 2 x) y) (* (+ x y) (- x y))) (* (* 2 x) y) (* 2 x) (/ (* 2 x) (- (/ x y) 1)) (- (/ x y) 1) (/ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 303 | 877 |
| 1 | 866 | 734 |
| 2 | 2948 | 660 |
| 3 | 6878 | 654 |
| 0 | 8483 | 605 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(* -2 (/ x y)) |
(* x (- (* -2 (/ (pow x 2) (pow y 3))) (* 2 (/ 1 y)))) |
(* x (- (* (pow x 2) (- (* -2 (/ (pow x 2) (pow y 5))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 y)))) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (/ (pow x 2) (pow y 7))) (* 2 (/ 1 (pow y 5))))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 y)))) |
(* 2 (* x y)) |
(* 2 x) |
-1 |
(- (/ x y) 1) |
(/ x y) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(* 2 (/ y x)) |
(/ (+ (* -2 (/ (* y (+ y (* -1 y))) x)) (* 2 y)) x) |
(/ (+ (* -2 (/ (* y (+ y (* -1 y))) x)) (+ (* -2 (/ (+ (* -1 (* y (pow (+ y (* -1 y)) 2))) (* -1 (pow y 3))) (pow x 2))) (* 2 y))) x) |
(/ (+ (* -2 (/ (* y (+ y (* -1 y))) x)) (+ (* -2 (/ (+ (* -1 (* y (pow (+ y (* -1 y)) 2))) (* -1 (pow y 3))) (pow x 2))) (+ (* -2 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (* y (pow (+ y (* -1 y)) 2))) (* -1 (pow y 3))))) (* (pow y 3) (+ y (* -1 y)))) (pow x 3))) (* 2 y)))) x) |
(- (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2)))) (* -2 (/ (pow y 2) x))) |
(- (+ (* 2 y) (* 2 (/ (pow y 4) (pow x 3)))) (+ (* -2 (/ (pow y 2) x)) (* -2 (/ (pow y 3) (pow x 2))))) |
(* x (- (/ 1 y) (/ 1 x))) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* -1 (/ (+ (* -2 y) (* 2 (/ (* y (+ y (* -1 y))) x))) x)) |
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -2 (* y (+ y (* -1 y)))) (* 2 (/ (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3)) x))) x))) x)) |
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -2 (* y (+ y (* -1 y)))) (* -1 (/ (+ (* -2 (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) (* 2 (/ (+ (* (+ y (* -1 y)) (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) (* (pow y 3) (+ y (* -1 y)))) x))) x))) x))) x)) |
(+ (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 4) x)) (* -2 (pow y 3))) x)) (* 2 (pow y 2))) x)) (* 2 y)) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* y (+ (* 2 (/ (pow y 2) (pow x 3))) (* 2 (/ 1 x)))) |
(* y (+ (* (pow y 2) (+ (* 2 (/ (pow y 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))) |
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 2 (/ (pow y 2) (pow x 7))) (* 2 (/ 1 (pow x 5))))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))) |
(/ (+ x (* -1 y)) y) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(/ (+ (* -2 x) (* -2 (/ (* x (+ x (* -1 x))) y))) y) |
(/ (+ (* -2 x) (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (* -2 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) (pow y 2))))) y) |
(/ (+ (* -2 x) (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (+ (* -2 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) (pow y 2))) (* -2 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) (pow y 3)))))) y) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(* -1 (/ (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (* 2 x)) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) y)) (* 2 (* x (+ x (* -1 x))))) y)) (* 2 x)) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) y)) (* 2 (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)))) y)) (* 2 (* x (+ x (* -1 x))))) y)) (* 2 x)) y)) |
| Outputs |
|---|
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* -2 (/ x y)) 2)) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (/.f64 #s(literal -2 binary64) y) y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x) |
(* -2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -2 binary64)) |
(* x (- (* -2 (/ (pow x 2) (pow y 3))) (* 2 (/ 1 y)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x (/.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64)) x) |
(* x (- (* (pow x 2) (- (* -2 (/ (pow x 2) (pow y 5))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 5 binary64))) x) x (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64)))))) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (/ (pow x 2) (pow y 7))) (* 2 (/ 1 (pow y 5))))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 7 binary64))) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64)))))) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
-1 |
#s(literal -1 binary64) |
(- (/ x y) 1) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 y (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y))) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(/ (+ (* -2 (/ (* y (+ y (* -1 y))) x)) (* 2 y)) x) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(/ (+ (* -2 (/ (* y (+ y (* -1 y))) x)) (+ (* -2 (/ (+ (* -1 (* y (pow (+ y (* -1 y)) 2))) (* -1 (pow y 3))) (pow x 2))) (* 2 y))) x) |
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) x) y) #s(literal 2 binary64)) x) |
(/ (+ (* -2 (/ (* y (+ y (* -1 y))) x)) (+ (* -2 (/ (+ (* -1 (* y (pow (+ y (* -1 y)) 2))) (* -1 (pow y 3))) (pow x 2))) (+ (* -2 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (* y (pow (+ y (* -1 y)) 2))) (* -1 (pow y 3))))) (* (pow y 3) (+ y (* -1 y)))) (pow x 3))) (* 2 y)))) x) |
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) x) y) #s(literal 2 binary64)) x) |
(- (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2)))) (* -2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(- (+ (* 2 y) (* 2 (/ (pow y 4) (pow x 3)))) (+ (* -2 (/ (pow y 2) x)) (* -2 (/ (pow y 3) (pow x 2))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 y (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y))) |
(* x (- (/ 1 y) (/ 1 x))) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(*.f64 #s(literal 2 binary64) (fma.f64 y (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y))) |
(* -1 (/ (+ (* -2 y) (* 2 (/ (* y (+ y (* -1 y))) x))) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -2 (* y (+ y (* -1 y)))) (* 2 (/ (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3)) x))) x))) x)) |
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) x) y) #s(literal 2 binary64)) x) |
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -2 (* y (+ y (* -1 y)))) (* -1 (/ (+ (* -2 (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) (* 2 (/ (+ (* (+ y (* -1 y)) (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) (* (pow y 3) (+ y (* -1 y)))) x))) x))) x))) x)) |
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) x) y) #s(literal 2 binary64)) x) |
(+ (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* 2 y)) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 4) x)) (* -2 (pow y 3))) x)) (* 2 (pow y 2))) x)) (* 2 y)) |
(*.f64 #s(literal 2 binary64) (fma.f64 y (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y))) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) y) |
(* y (+ (* 2 (/ (pow y 2) (pow x 3))) (* 2 (/ 1 x)))) |
(*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 y x))) |
(* y (+ (* (pow y 2) (+ (* 2 (/ (pow y 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) x)) y (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64))) |
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 2 (/ (pow y 2) (pow x 7))) (* 2 (/ 1 (pow x 5))))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 7 binary64))) (*.f64 y y) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 5 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 y x)))) |
(/ (+ x (* -1 y)) y) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -2 binary64)) |
(/ (+ (* -2 x) (* -2 (/ (* x (+ x (* -1 x))) y))) y) |
(*.f64 (/.f64 x y) #s(literal -2 binary64)) |
(/ (+ (* -2 x) (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (* -2 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) (pow y 2))))) y) |
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) y)) |
(/ (+ (* -2 x) (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (+ (* -2 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) (pow y 2))) (* -2 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) (pow y 3)))))) y) |
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) y)) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(fma.f64 (/.f64 (*.f64 x (fma.f64 (/.f64 x y) x x)) y) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x)) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(fma.f64 #s(literal -2 binary64) x (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y) #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))) y)) |
(* -1 (/ (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (* 2 x)) y)) |
(*.f64 (/.f64 x y) #s(literal -2 binary64)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) y)) (* 2 (* x (+ x (* -1 x))))) y)) (* 2 x)) y)) |
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) y)) (* 2 (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)))) y)) (* 2 (* x (+ x (* -1 x))))) y)) (* 2 x)) y)) |
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 55 |
| 0 | 24 | 55 |
| 1 | 103 | 47 |
| 2 | 929 | 47 |
| 0 | 8711 | 47 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(literal 1 binary64))) (/.f64 x (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 y x) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 x (+.f64 y x))) |
(*.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(literal 1 binary64))) (/.f64 y (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (*.f64 y x) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 y x) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y (-.f64 x y))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (*.f64 y x) (+.f64 y x))) |
(*.f64 (/.f64 x (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 y (+.f64 y x))) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (+.f64 y x) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 y (+.f64 y x))) #s(literal 1 binary64)) (/.f64 (+.f64 y x) (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
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(+.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 x y))) |
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 x y)) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x y))) |
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal -1 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(pow.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64)))) (*.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))) (*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (fma.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 x) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal -1 binary64)))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (-.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 y (/.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x))) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64))) |
(-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)))) |
(+.f64 #s(literal -1 binary64) (/.f64 x y)) |
(+.f64 (/.f64 x y) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 x (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
Compiled 22 566 to 2 057 computations (90.9% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 778 | 1 | 779 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 6 | 6 |
| Total | 779 | 8 | 787 |
| Status | Accuracy | Program |
|---|---|---|
| 87.9% | (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) | |
| ✓ | 88.0% | (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) |
| ✓ | 88.0% | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
| ✓ | 89.2% | (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
| ✓ | 51.0% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
| ✓ | 49.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
| ✓ | 51.8% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
| ✓ | 49.8% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
Compiled 312 to 140 computations (55.1% saved)
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
#s(approx (* (/ y (- x y)) (* 2 x)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y)) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (+.f64 x y))) |
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
3 calls:
| 5.0ms | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 4.0ms | y |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 3 | x |
| 97.2% | 3 | y |
| 98.8% | 5 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| Outputs |
|---|
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
3 calls:
| 2.0ms | y |
| 2.0ms | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.9% | 3 | x |
| 57.3% | 4 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 77.2% | 3 | y |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.0% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
3 calls:
| 1.0ms | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.8% | 1 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 49.8% | 1 | x |
| 49.8% | 1 | y |
Compiled 11 to 11 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.8438121763981874e-230 | 4.110193705231662e-227 |
| 11.0ms | -1.569757260857537e-140 | -3.0905486224106308e-142 |
| 13.0ms | 240× | 0 | valid |
Compiled 342 to 297 computations (13.2% saved)
ival-mult: 5.0ms (64% of total)ival-sub: 1.0ms (12.8% of total)ival-div: 1.0ms (12.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.8438121763981874e-230 | 4.110193705231662e-227 |
| 1.0ms | -1.569757260857537e-140 | -3.0905486224106308e-142 |
Compiled 342 to 304 computations (11.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.8438121763981874e-230 | 4.110193705231662e-227 |
| 1.0ms | -1.569757260857537e-140 | -3.0905486224106308e-142 |
Compiled 342 to 297 computations (13.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 8.752369625668073e+78 | 3.7340501719760844e+90 |
| 9.0ms | -3.9511240680908074e+43 | -1.739235628300968e+41 |
| 16.0ms | 272× | 0 | valid |
Compiled 489 to 400 computations (18.2% saved)
ival-mult: 7.0ms (67.4% of total)ival-div: 2.0ms (19.2% of total)ival-sub: 1.0ms (9.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.752369625668073e+78 | 3.7340501719760844e+90 |
| 10.0ms | -5.114590178987904e+32 | -1.958017517969601e+32 |
| 4.0ms | 80× | 0 | valid |
Compiled 402 to 342 computations (14.9% saved)
ival-mult: 1.0ms (47.3% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% 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 | 42 | 209 |
| 1 | 62 | 209 |
| 2 | 88 | 209 |
| 3 | 118 | 209 |
| 4 | 155 | 209 |
| 5 | 253 | 209 |
| 6 | 516 | 209 |
| 7 | 3053 | 209 |
| 8 | 6662 | 209 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 y #s(literal -1244244575898673/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) (if (<=.f64 y #s(literal 8193656135122765/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 y #s(literal -1244244575898673/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8193656135122765/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 y #s(literal -1244244575898673/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072 binary64)) (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 8193656135122765/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 y #s(literal -3000000000000000289399642944900284719038464 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) (if (<=.f64 y #s(literal 16500000000000000860052997483907742549255371124720396092214426409287339162468352 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)))) |
(if (<=.f64 y #s(literal -294999999999999982503541260419072 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 16500000000000000860052997483907742549255371124720396092214426409287339162468352 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -1244244575898673/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) (if (<=.f64 y #s(literal 8193656135122765/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 y #s(literal -1244244575898673/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8193656135122765/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 y #s(literal -1244244575898673/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072 binary64)) (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 8193656135122765/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)))) |
(if (or (<=.f64 y #s(literal -1244244575898673/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072 binary64)) (not (<=.f64 y #s(literal 8193656135122765/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128 binary64)))) (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))) |
(if (<=.f64 y #s(literal -3000000000000000289399642944900284719038464 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) (if (<=.f64 y #s(literal 16500000000000000860052997483907742549255371124720396092214426409287339162468352 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)))) |
(if (<=.f64 y #s(literal -294999999999999982503541260419072 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 16500000000000000860052997483907742549255371124720396092214426409287339162468352 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)))) |
(if (or (<=.f64 y #s(literal -294999999999999982503541260419072 binary64)) (not (<=.f64 y #s(literal 16500000000000000860052997483907742549255371124720396092214426409287339162468352 binary64)))) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 151 |
| 0 | 52 | 151 |
| 1 | 210 | 143 |
| 2 | 1690 | 143 |
| 0 | 8711 | 143 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 40 | 20 |
| 2 | 250 | 20 |
| 3 | 2753 | 20 |
| 0 | 9283 | 20 |
| 0 | 136 | 337 |
| 1 | 378 | 323 |
| 2 | 1027 | 303 |
| 3 | 3113 | 297 |
| 4 | 6493 | 297 |
| 0 | 8219 | 268 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 376 to 149 computations (60.4% saved)
Compiled 506 to 140 computations (72.3% saved)
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