
Time bar (total: 4.5s)
| 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)
| 617.0ms | 8 256× | 0 | valid |
ival-mult: 307.0ms (71% of total)ival-div: 65.0ms (15% of total)ival-sub: 46.0ms (10.6% of total)ival-true: 6.0ms (1.4% of total)exact: 5.0ms (1.2% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 61 | 0 | - | 0 | - | (/.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)) | u/n | 34 | 0 |
| ↳ | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | underflow | 33 | |
/.f64 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) | o/n | 27 | 0 |
| ↳ | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | overflow | 27 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 61 | 0 |
| - | 0 | 195 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 61 | 0 | 0 |
| - | 0 | 0 | 195 |
| number | freq |
|---|---|
| 0 | 195 |
| 1 | 61 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 29.0ms | 512× | 0 | valid |
Compiled 105 to 45 computations (57.1% saved)
ival-mult: 7.0ms (46.3% of total)ival-sub: 4.0ms (26.5% of total)ival-div: 3.0ms (19.8% 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 | 775 | 45 |
| 4 | 2699 | 45 |
| 5 | 3378 | 45 |
| 6 | 3564 | 45 |
| 7 | 3578 | 45 |
| 8 | 3593 | 45 |
| 9 | 3598 | 45 |
| 10 | 3598 | 45 |
| 11 | 3802 | 45 |
| 12 | 3898 | 45 |
| 13 | 3898 | 45 |
| 14 | 4002 | 45 |
| 15 | 4621 | 45 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 19 | 9 |
| 2 | 40 | 9 |
| 3 | 64 | 9 |
| 4 | 84 | 9 |
| 5 | 148 | 9 |
| 6 | 310 | 9 |
| 7 | 682 | 9 |
| 8 | 1532 | 9 |
| 9 | 2375 | 9 |
| 10 | 2393 | 9 |
| 11 | 2407 | 9 |
| 12 | 2419 | 9 |
| 13 | 2419 | 9 |
| 0 | 2419 | 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 |
|---|---|---|
| ▶ | 77.6% | (/.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 | 310 | 23 |
| 7 | 682 | 23 |
| 8 | 1532 | 23 |
| 9 | 2375 | 23 |
| 10 | 2393 | 23 |
| 11 | 2407 | 23 |
| 12 | 2419 | 23 |
| 13 | 2419 | 23 |
| 0 | 2419 | 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 | (-.f64 x y) | |
| accuracy | 0 | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 14.328444912690658 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 13.0ms | 256× | 0 | valid |
Compiled 48 to 16 computations (66.7% saved)
ival-mult: 3.0ms (45.4% of total)ival-div: 2.0ms (30.3% of total)ival-sub: 1.0ms (15.1% 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 | |
|---|---|---|---|---|
| 5.0ms | 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 | 1014 | 303 |
| 3 | 3098 | 297 |
| 4 | 6418 | 297 |
| 0 | 8142 | 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 #s(literal -2 binary64) (*.f64 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 | 2754 | 20 |
| 0 | 9208 | 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 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) (-.f64 y x)) |
(-.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 |
|---|---|---|
| 38.1% | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 x (+.f64 y x))) (fma.f64 (neg.f64 y) y (*.f64 x x))) | |
| 87.2% | (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) | |
| ▶ | 90.6% | (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x 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)) |
| ▶ | 51.0% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
| ▶ | 51.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
| ▶ | 50.0% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
Compiled 194 to 138 computations (28.9% 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 x y) | |
| cost-diff | 0 | (/.f64 x (-.f64 x y)) | |
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 135 |
| 0 | 38 | 135 |
| 1 | 66 | 135 |
| 2 | 114 | 135 |
| 3 | 171 | 135 |
| 4 | 224 | 135 |
| 5 | 447 | 135 |
| 6 | 740 | 135 |
| 7 | 1624 | 135 |
| 8 | 2840 | 135 |
| 9 | 3547 | 135 |
| 10 | 3815 | 135 |
| 11 | 3913 | 135 |
| 12 | 3935 | 135 |
| 13 | 3937 | 135 |
| 14 | 4129 | 135 |
| 15 | 4201 | 135 |
| 16 | 4201 | 135 |
| 17 | 4201 | 135 |
| 18 | 4201 | 135 |
| 19 | 4273 | 135 |
| 20 | 4736 | 135 |
| 0 | 4736 | 135 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(/.f64 x (-.f64 x y)) |
x |
(-.f64 x y) |
#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 #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 y x))) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
(/.f64 x (-.f64 x y)) |
x |
(-.f64 x y) |
#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 | (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.0703125 | (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) | |
| accuracy | 32.43696357289559 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.078125 | (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) | |
| accuracy | 0.08984375 | (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) | |
| accuracy | 31.385092403743982 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) y) | |
| accuracy | 31.14272026825829 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) | |
| accuracy | 0 | (*.f64 #s(literal -2 binary64) x) | |
| accuracy | 31.96965519493373 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 0.015625 | (/.f64 x (-.f64 x y)) | |
| accuracy | 6.013562586288229 | (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
| 103.0ms | 256× | 0 | valid |
Compiled 250 to 48 computations (80.8% saved)
ival-div: 46.0ms (51.2% of total)ival-mult: 40.0ms (44.5% of total)ival-add: 2.0ms (2.2% of total)ival-sub: 1.0ms (1.1% 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 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
(*.f64 y #s(literal 2 binary64)) |
(/.f64 x (-.f64 x y)) |
(-.f64 x y) |
#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 (/ x y)) |
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* -1 y) |
(- x y) |
(* 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)))))) |
1 |
(+ 1 (/ y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) |
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 (/ (- (* -1 (/ (pow y 2) x)) y) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) 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)))))) |
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 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 x) (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y) |
(* 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 (/ (+ x (/ (pow x 2) y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | ((* (* y 2) (/ x (- x y))) (* y 2) (/ x (- x y)) (- x y) (/ (* (* 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 2) (/ x (- x y))) (* y 2) (/ x (- x y)) (- x y) (/ (* (* 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 2) (/ x (- x y))) (* y 2) (/ x (- x y)) (- x y) (/ (* (* 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 2) (/ x (- x y))) (* y 2) (/ x (- x y)) (- x y) (/ (* (* 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 2) (/ x (- x y))) (* y 2) (/ x (- x y)) (- x y) (/ (* (* 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 | 239 | 753 |
| 1 | 716 | 709 |
| 2 | 2013 | 659 |
| 3 | 5837 | 651 |
| 0 | 8096 | 602 |
| 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 (/ x y)) |
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* -1 y) |
(- x y) |
(* 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)))))) |
1 |
(+ 1 (/ y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) |
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 (/ (- (* -1 (/ (pow y 2) x)) y) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) 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)))))) |
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 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 x) (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y) |
(* 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 (/ (+ x (/ (pow x 2) y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) 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 #s(literal -2 binary64) y) x #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 #s(literal -2 binary64) (*.f64 y y))) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (neg.f64 y)) |
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y)) x) |
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y)) x) |
(* -1 y) |
(neg.f64 y) |
(- 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 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* 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 #s(literal -2 binary64) y) x #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 (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)))) #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y x)) |
(-.f64 (/.f64 y x) #s(literal -1 binary64)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) |
(fma.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) |
(+.f64 (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x) #s(literal 1 binary64)) |
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 #s(literal -2 binary64) y) x #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 #s(literal -2 binary64) y) x #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) (*.f64 (*.f64 y y) #s(literal -2 binary64))) (neg.f64 x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) |
(fma.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) |
(+.f64 (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x) #s(literal 1 binary64)) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #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) |
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))) |
(fma.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))) |
(+.f64 (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x) #s(literal 1 binary64)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) x) y) #s(literal -2 binary64)) |
(/ (+ (* -2 x) (* -2 y)) y) |
(*.f64 (/.f64 (+.f64 x y) y) #s(literal -2 binary64)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #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 (/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x) #s(literal -2 binary64)) |
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y) |
(/.f64 (fma.f64 (/.f64 x y) x x) (neg.f64 y)) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (neg.f64 y)) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y) |
(/.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 y)) 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 x x) #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) y)) (neg.f64 y))) |
(* -1 (/ (+ x (/ (pow x 2) y)) y)) |
(/.f64 (fma.f64 (/.f64 x y) x x) (neg.f64 y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (neg.f64 y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 y)) 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 | 129 | 122 |
| 2 | 745 | 122 |
| 0 | 8388 | 122 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
(*.f64 y #s(literal 2 binary64)) |
(/.f64 x (-.f64 x y)) |
(-.f64 x y) |
#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 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) (/.f64 x (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 y x)) (neg.f64 x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (+.f64 x y))) |
(*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y 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 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (/.f64 y (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 y (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(*.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 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) (+.f64 x y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (fma.f64 x (+.f64 x y) (*.f64 y y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) y)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.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 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.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 x (+.f64 x y) (*.f64 y y)) #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) (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 x (+.f64 x y))) |
(*.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 x (+.f64 x y) (*.f64 y 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 (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.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 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (-.f64 x y))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) (/.f64 x (-.f64 y x))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 x y))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (/.f64 y (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (/.f64 y (-.f64 x y))) |
(*.f64 (*.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) x) |
(*.f64 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64))) (+.f64 x y)) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.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 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.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 x #s(literal 2 binary64)) (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 x (+.f64 x y) (*.f64 y y))) |
(*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
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(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 #s(literal -2 binary64) y) x #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 (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 x #s(literal 2 binary64)) (/.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 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 x) 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 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (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 17 565 to 2 291 computations (87% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 664 | 3 | 667 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 667 | 7 | 674 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.2% | (*.f64 (/.f64 y (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) |
| ✓ | 90.6% | (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
| ▶ | 89.6% | (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x))) |
| ▶ | 49.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
| ✓ | 51.0% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
| ✓ | 51.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
| ✓ | 50.0% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
Compiled 91 to 67 computations (26.4% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 y (-.f64 x y)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) x) | |
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) x x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 94 |
| 0 | 33 | 96 |
| 1 | 63 | 92 |
| 2 | 125 | 90 |
| 3 | 228 | 90 |
| 4 | 402 | 90 |
| 5 | 686 | 90 |
| 6 | 1102 | 90 |
| 7 | 1795 | 90 |
| 8 | 2806 | 90 |
| 9 | 3389 | 90 |
| 10 | 3620 | 90 |
| 11 | 3722 | 90 |
| 12 | 3770 | 90 |
| 13 | 3784 | 90 |
| 14 | 3892 | 90 |
| 15 | 3936 | 90 |
| 16 | 3936 | 90 |
| 17 | 3936 | 90 |
| 18 | 3952 | 90 |
| 19 | 3960 | 90 |
| 20 | 3970 | 90 |
| 21 | 4000 | 90 |
| 22 | 4000 | 90 |
| 0 | 4000 | 90 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
x |
y |
#s(literal -2 binary64) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x))) |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x y) x) |
(-.f64 x y) |
x |
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) |
(/.f64 y (-.f64 x y)) |
y |
(-.f64 x y) |
x |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x y) x x))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x y) x x)) |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
x |
y |
#s(literal -2 binary64) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x))) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 y x))) |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x)) |
(/.f64 x (-.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x y) x) |
(-.f64 x y) |
x |
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 y x))) |
(/.f64 y (-.f64 x y)) |
y |
(-.f64 x y) |
x |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0.0078125 | (/.f64 y (-.f64 x y)) | |
| accuracy | 8.172207922714056 | (*.f64 (/.f64 y (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 x y) x) | |
| accuracy | 0.5113745857460763 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x)) | |
| accuracy | 6.013562586288229 | (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) | |
| accuracy | 0.06640625 | (fma.f64 (/.f64 x y) x x) | |
| accuracy | 32.43696357289559 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
| 94.0ms | 256× | 0 | valid |
Compiled 183 to 43 computations (76.5% saved)
ival-mult: 61.0ms (73.7% of total)ival-div: 14.0ms (16.9% of total)ival-sub: 6.0ms (7.2% of total)ival-add: 1.0ms (1.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x))) |
(*.f64 y #s(literal 2 binary64)) |
(/.f64 (-.f64 x y) x) |
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) |
(/.f64 y (-.f64 x y)) |
(-.f64 x y) |
(*.f64 x #s(literal 2 binary64)) |
| 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 y) |
(* -1 (/ x y)) |
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* -1 (/ y x)) |
(/ (+ x (* -1 y)) x) |
-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 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 2) y)) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
1 |
(+ 1 (/ y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* -1 (/ y x))) |
(/ 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 (+ 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 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) |
(* -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))) |
(* 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 (* x y)) (* -2 (pow x 2))) y) |
(/ (+ (* x y) (pow x 2)) y) |
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 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) (* -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)) |
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y) |
(* y (- (/ 1 y) (/ 1 x))) |
(- (* -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)) |
(+ (* -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 (/ (+ x (/ (pow x 2) y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (/ 1 x) (/ 1 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 | |
|---|---|---|---|---|
| 11.0ms | x | @ | -inf | ((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y) (/ 1 (/ (- x y) x)) (* (* y 2) (/ 1 (/ (- x y) x))) (* y 2) (/ (- x y) x) (* (/ y (- x y)) (* x 2)) (/ y (- x y)) (- x y) (* x 2)) |
| 6.0ms | x | @ | inf | ((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y) (/ 1 (/ (- x y) x)) (* (* y 2) (/ 1 (/ (- x y) x))) (* y 2) (/ (- x y) x) (* (/ y (- x y)) (* x 2)) (/ y (- x y)) (- x y) (* x 2)) |
| 2.0ms | y | @ | -inf | ((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y) (/ 1 (/ (- x y) x)) (* (* y 2) (/ 1 (/ (- x y) x))) (* y 2) (/ (- x y) x) (* (/ y (- x y)) (* x 2)) (/ y (- x y)) (- x y) (* x 2)) |
| 1.0ms | y | @ | inf | ((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y) (/ 1 (/ (- x y) x)) (* (* y 2) (/ 1 (/ (- x y) x))) (* y 2) (/ (- x y) x) (* (/ y (- x y)) (* x 2)) (/ y (- x y)) (- x y) (* x 2)) |
| 1.0ms | x | @ | 0 | ((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y) (/ 1 (/ (- x y) x)) (* (* y 2) (/ 1 (/ (- x y) x))) (* y 2) (/ (- x y) x) (* (/ y (- x y)) (* x 2)) (/ y (- x y)) (- x y) (* x 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 291 | 1000 |
| 1 | 879 | 945 |
| 2 | 2450 | 870 |
| 3 | 6845 | 852 |
| 0 | 8535 | 783 |
| 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 y) |
(* -1 (/ x y)) |
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* -1 (/ y x)) |
(/ (+ x (* -1 y)) x) |
-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 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 2) y)) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
1 |
(+ 1 (/ y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* -1 (/ y x))) |
(/ 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 (+ 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 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) |
(* -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))) |
(* 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 (* x y)) (* -2 (pow x 2))) y) |
(/ (+ (* x y) (pow x 2)) y) |
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 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) (* -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)) |
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y) |
(* y (- (/ 1 y) (/ 1 x))) |
(- (* -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)) |
(+ (* -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 (/ (+ x (/ (pow x 2) y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (/ 1 x) (/ 1 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) |
x |
(* x (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) x x) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) |
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x)) y) |
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 (/.f64 #s(literal -1 binary64) y) y)) x (/.f64 #s(literal -1 binary64) y)) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(/ (+ x (* -1 y)) x) |
(/.f64 (-.f64 x y) 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 y) |
(*.f64 y #s(literal 2 binary64)) |
(+ (* 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 (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)))) #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) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y x)) |
(-.f64 (/.f64 y x) #s(literal -1 binary64)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) |
(fma.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) |
(+.f64 (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ y x))) |
(/.f64 (-.f64 x y) x) |
(/ 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 (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)))) 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 y #s(literal 2 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 y #s(literal 2 binary64)) y)) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) |
(fma.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) |
(+.f64 (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x) #s(literal 1 binary64)) |
(* -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) |
(* 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) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (+.f64 y x)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(*.f64 x (/.f64 (+.f64 y x) y)) |
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))) |
(fma.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))) |
(+.f64 (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x) #s(literal 1 binary64)) |
(* 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 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x) |
(* 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) (* -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 (/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x) #s(literal -2 binary64)) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y) |
(/.f64 (neg.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x)) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y) |
(/.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 y)) x) y) |
(* y (- (/ 1 y) (/ 1 x))) |
(/.f64 (-.f64 x y) x) |
(- (* -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) |
(+ (* -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 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) y) (*.f64 (*.f64 x x) #s(literal -2 binary64))) y)) |
(* -1 (/ (+ x (/ (pow x 2) y)) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x)) y) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 y)) x) y) |
(* -1 (* y (- (/ 1 x) (/ 1 y)))) |
(/.f64 (-.f64 x y) x) |
(- (* -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: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 81 |
| 0 | 33 | 79 |
| 1 | 114 | 77 |
| 2 | 696 | 77 |
| 3 | 7687 | 77 |
| 0 | 8362 | 77 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x))) |
(*.f64 y #s(literal 2 binary64)) |
(/.f64 (-.f64 x y) x) |
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) |
(/.f64 y (-.f64 x y)) |
(-.f64 x y) |
(*.f64 x #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x y) x x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (*.f64 (/.f64 x y) x)) x) #s(literal 2 binary64)))) (fma.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (neg.f64 x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) |
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 x (*.f64 (/.f64 x y) x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x (*.f64 (/.f64 x y) x)) x) (-.f64 (*.f64 (-.f64 x (*.f64 (/.f64 x y) x)) x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 4 binary64)))) |
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(-.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) |
(+.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)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal -2 binary64) (neg.f64 x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64))) |
Compiled 21 652 to 2 916 computations (86.5% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 904 | 0 | 904 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 4 | 4 |
| Total | 904 | 7 | 911 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.2% | (*.f64 (/.f64 y (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) |
| ✓ | 90.6% | (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
| ✓ | 89.6% | (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x))) |
| ✓ | 49.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
| ✓ | 51.0% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
| ✓ | 51.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
| ✓ | 50.0% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
Compiled 235 to 113 computations (51.9% 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 x y) x x) #s(literal -2 binary64))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 x (+.f64 y x))) (fma.f64 (neg.f64 y) y (*.f64 x x))) |
| Outputs |
|---|
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
3 calls:
| 5.0ms | x |
| 4.0ms | y |
| 4.0ms | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | x |
| 100.0% | 3 | y |
| 99.6% | 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 x y) x x) #s(literal -2 binary64))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
2 calls:
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 3 | x |
| 97.3% | 3 | y |
Compiled 2 to 4 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 x y) x x) #s(literal -2 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
#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 #s(literal -2 binary64) x)) |
3 calls:
| 2.0ms | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 3 | x |
| 61.6% | 5 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 79.9% | 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)) |
| 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 |
|---|---|---|
| 79.8% | 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:
| 72.0ms | x |
| 1.0ms | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.0% | 1 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 50.0% | 1 | x |
| 50.0% | 1 | y |
Compiled 11 to 11 computations (0% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 0.9869422549909078 | 84.79506996565513 |
| 8.0ms | -1.630503381192883e+36 | -2.469828773278466e+35 |
| 6.0ms | 128× | 0 | valid |
Compiled 156 to 140 computations (10.3% saved)
ival-mult: 2.0ms (60.9% of total)ival-sub: 1.0ms (30.4% of total)ival-div: 1.0ms (30.4% 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 |
|---|---|---|
| 12.0ms | 1.2490833129064471e+111 | 3.3287650442109804e+116 |
| 13.0ms | -5.5836541747325686e+215 | -3.6514853849027853e+204 |
| 14.0ms | 304× | 0 | valid |
Compiled 430 to 373 computations (13.3% saved)
ival-mult: 4.0ms (52.2% of total)ival-div: 2.0ms (26.1% of total)ival-sub: 1.0ms (13.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 51874227072895.36 | 124198728569991120.0 |
| 99.0ms | -3.1464491755758535e+67 | -1.4118949216564453e+62 |
| 12.0ms | 272× | 0 | valid |
Compiled 539 to 420 computations (22.1% saved)
ival-mult: 3.0ms (43.8% of total)ival-div: 2.0ms (29.2% of total)ival-sub: 1.0ms (14.6% 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 | 51874227072895.36 | 124198728569991120.0 |
| 7.0ms | -1.630503381192883e+36 | -2.469828773278466e+35 |
| 4.0ms | 80× | 0 | valid |
Compiled 376 to 320 computations (14.9% saved)
ival-mult: 1.0ms (49.2% 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 | 45 | 190 |
| 1 | 56 | 190 |
| 2 | 60 | 190 |
| 3 | 62 | 190 |
| 4 | 63 | 190 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal -250000000000000010605159343504490496 binary64)) (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 y #s(literal -3500000000000000278703790729502960092112416403466174369613974221786693130728237571060147771546887876866201464585798708279933145574155543116912665395726850357800876760510786406934659527026237807766096930930688 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 309999999999999996074416101002673640033133524575043582931951156360708726457991842372333474076161015885571238976815104 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)))) |
(if (<=.f64 y #s(literal -14499999999999999651470338838182441456710064411058132883058196480 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 136000000000000 binary64)) #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 #s(literal -2 binary64) x)))) |
(if (<=.f64 y #s(literal -1060000000000000018402564150317285376 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 136000000000000 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 -250000000000000010605159343504490496 binary64)) (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 y #s(literal -250000000000000010605159343504490496 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 x y))))) |
(if (<=.f64 y #s(literal -3500000000000000278703790729502960092112416403466174369613974221786693130728237571060147771546887876866201464585798708279933145574155543116912665395726850357800876760510786406934659527026237807766096930930688 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 309999999999999996074416101002673640033133524575043582931951156360708726457991842372333474076161015885571238976815104 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)))) |
(if (<=.f64 y #s(literal -3500000000000000278703790729502960092112416403466174369613974221786693130728237571060147771546887876866201464585798708279933145574155543116912665395726850357800876760510786406934659527026237807766096930930688 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 309999999999999996074416101002673640033133524575043582931951156360708726457991842372333474076161015885571238976815104 binary64)) (*.f64 (/.f64 x (-.f64 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 -14499999999999999651470338838182441456710064411058132883058196480 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 136000000000000 binary64)) #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 #s(literal -2 binary64) x)))) |
(if (<=.f64 y #s(literal -1060000000000000018402564150317285376 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 136000000000000 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 40 | 20 |
| 2 | 250 | 20 |
| 3 | 2754 | 20 |
| 0 | 9208 | 20 |
| 0 | 136 | 337 |
| 1 | 378 | 323 |
| 2 | 1014 | 303 |
| 3 | 3098 | 297 |
| 4 | 6418 | 297 |
| 0 | 8142 | 268 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 276 to 102 computations (63% saved)
Compiled 468 to 136 computations (70.9% saved)
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