
Time bar (total: 5.8s)
| 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)
| 719.0ms | 8 256× | 0 | valid |
ival-mult: 239.0ms (63.5% of total)ival-div: 65.0ms (17.3% of total)ival-sub: 58.0ms (15.4% of total)ival-true: 6.0ms (1.6% of total)exact: 5.0ms (1.3% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 54 | 0 | - | 1 | (-1.0572483235567932e-159 -9.368619568068228e-152) | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x #s(literal 2 binary64)) y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) | o/n | 27 | 0 |
| ↳ | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | overflow | 27 | |
/.f64 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) | u/n | 26 | 0 |
| ↳ | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | underflow | 26 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 53 | 1 |
| - | 0 | 202 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 53 | 0 | 1 |
| - | 0 | 0 | 202 |
| number | freq |
|---|---|
| 0 | 203 |
| 1 | 53 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 63.0ms | 512× | 0 | valid |
Compiled 82 to 32 computations (61% saved)
ival-mult: 6.0ms (44.4% of total)ival-sub: 3.0ms (22.2% of total)ival-div: 3.0ms (22.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 53 |
| 1 | 64 | 45 |
| 2 | 221 | 45 |
| 3 | 847 | 45 |
| 4 | 3061 | 45 |
| 5 | 4082 | 45 |
| 6 | 4743 | 45 |
| 7 | 4791 | 45 |
| 8 | 4814 | 45 |
| 9 | 4815 | 45 |
| 10 | 4815 | 45 |
| 11 | 5019 | 45 |
| 12 | 5523 | 45 |
| 13 | 5523 | 45 |
| 14 | 5523 | 45 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 21 | 9 |
| 2 | 45 | 9 |
| 3 | 78 | 9 |
| 4 | 116 | 9 |
| 5 | 306 | 9 |
| 6 | 911 | 9 |
| 7 | 2509 | 9 |
| 8 | 2952 | 9 |
| 9 | 3007 | 9 |
| 10 | 3040 | 9 |
| 11 | 3040 | 9 |
| 0 | 3040 | 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 |
|---|---|---|
| ▶ | 80.5% | (/.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 | 21 | 23 |
| 2 | 45 | 23 |
| 3 | 78 | 23 |
| 4 | 116 | 23 |
| 5 | 306 | 23 |
| 6 | 911 | 23 |
| 7 | 2509 | 23 |
| 8 | 2952 | 23 |
| 9 | 3007 | 23 |
| 10 | 3040 | 23 |
| 11 | 3040 | 23 |
| 0 | 3040 | 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 | 12.511902524978241 | (/.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 (45.1% of total)ival-div: 2.0ms (30% of total)ival-sub: 1.0ms (15% 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 | |
|---|---|---|---|---|
| 185.0ms | x | @ | 0 | ((/ (* (* 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)) |
| 2.0ms | x | @ | -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)) |
| 1.0ms | 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 | 355 |
| 1 | 456 | 339 |
| 2 | 1731 | 315 |
| 0 | 8458 | 285 |
| 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 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) y) x #s(literal -2 binary64)) x) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 y y)) 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 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y)) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 (/.f64 (neg.f64 y) x) x x) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 (neg.f64 y) x) x x) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y)) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) 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 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #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))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(*.f64 #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(* y (- (/ x y) 1)) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) y) x #s(literal -2 binary64)) x) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(*.f64 #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 41 | 20 |
| 2 | 263 | 20 |
| 3 | 2932 | 20 |
| 0 | 10207 | 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 (neg.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 y x)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 y x)) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 y x)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 y x)) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 y (-.f64 y x)) x))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (/.f64 y (-.f64 y x))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (*.f64 (/.f64 y (-.f64 y x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 y x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (/.f64 y (-.f64 y x))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 y (-.f64 y x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.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 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.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 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.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 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #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 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 #s(literal -2 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))) (*.f64 #s(literal -2 binary64) y)) #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))) |
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(/.f64 (fma.f64 (neg.f64 (*.f64 x x)) (-.f64 y x) (*.f64 (-.f64 y x) (*.f64 y y))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(/.f64 (+.f64 (-.f64 y x) (*.f64 (/.f64 (-.f64 y x) (*.f64 x x)) (*.f64 y y))) (*.f64 (/.f64 (-.f64 y x) (*.f64 x x)) (-.f64 y x))) |
(/.f64 (fma.f64 (*.f64 x x) (-.f64 y x) (*.f64 (-.f64 y x) (*.f64 y y))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (+.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x x)) (/.f64 (-.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (-.f64 y x) (/.f64 (-.f64 y x) (*.f64 y y)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 y y)) (*.f64 (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 y x) (*.f64 x x)) (/.f64 (-.f64 y x) (*.f64 y y)))) |
(/.f64 (fma.f64 (*.f64 x x) (/.f64 (-.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (-.f64 y x) (/.f64 (-.f64 y x) (*.f64 y y)))) |
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)) (-.f64 y x)) |
(/.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64))) (-.f64 y x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64))) (-.f64 y x)) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 y x))))) |
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x))))))) |
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (*.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 (*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.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 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(/.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 y y))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.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 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 y x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x)))) |
(/.f64 (-.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 y x) #s(literal -1 binary64)) |
(/.f64 (-.f64 y x) #s(literal 1 binary64)) |
(neg.f64 (-.f64 y x)) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) y (*.f64 x #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) y (neg.f64 x)) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) y x) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 x)) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) y) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 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))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 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)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x) (*.f64 y (/.f64 y (-.f64 y x)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.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 y (/.f64 y (-.f64 y x)))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 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))))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 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)))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x))))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 y x)) (*.f64 y (/.f64 y (-.f64 y x)))) |
(fma.f64 #s(literal -1 binary64) y (*.f64 x #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) y (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) y x) |
(fma.f64 #s(literal -1 binary64) x y) |
(fma.f64 #s(literal 1 binary64) y (*.f64 x #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) y (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) y x) |
(fma.f64 #s(literal 1 binary64) x y) |
(fma.f64 (*.f64 x x) (/.f64 x (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))))) |
(fma.f64 (*.f64 x x) (/.f64 x (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)))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 y x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(fma.f64 y #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))) |
(fma.f64 y #s(literal -1 binary64) (neg.f64 x)) |
(fma.f64 y #s(literal -1 binary64) x) |
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))) |
(fma.f64 y #s(literal 1 binary64) (neg.f64 x)) |
(fma.f64 y #s(literal 1 binary64) x) |
(fma.f64 x (/.f64 (*.f64 x x) (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))))) |
(fma.f64 x (/.f64 (*.f64 x x) (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)))) |
(fma.f64 x (/.f64 x (-.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x))))) |
(fma.f64 x (/.f64 x (-.f64 y x)) (*.f64 y (/.f64 y (-.f64 y x)))) |
(fma.f64 x #s(literal -1 binary64) y) |
(-.f64 (+.f64 x #s(literal 0 binary64)) y) |
(-.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 #s(literal 1 binary64)) (/.f64 y #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 (neg.f64 x) y) |
(-.f64 #s(literal 0 binary64) (-.f64 y x)) |
(-.f64 y x) |
(-.f64 x y) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64))) |
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x (-.f64 y x)))) (*.f64 y (/.f64 y (-.f64 y x)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.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 (-.f64 x #s(literal 0 binary64)) y) |
(+.f64 (*.f64 x #s(literal -1 binary64)) y) |
(+.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(+.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64))) |
(+.f64 (neg.f64 (neg.f64 x)) y) |
(+.f64 (*.f64 x (/.f64 x (-.f64 y x))) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x))))) |
(+.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))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x 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 (neg.f64 x) y) |
(+.f64 #s(literal 0 binary64) (-.f64 y x)) |
(+.f64 y (*.f64 x #s(literal -1 binary64))) |
(+.f64 y (neg.f64 x)) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 7 825 to 1 052 computations (86.6% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 378 | 7 | 385 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 379 | 7 | 386 |
| Status | Accuracy | Program |
|---|---|---|
| 80.5% | (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) | |
| 88.2% | (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 y x))) | |
| ▶ | 88.3% | (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) |
| ▶ | 53.6% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
| ▶ | 47.6% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
| ▶ | 48.5% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
| ▶ | 53.7% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
Compiled 178 to 128 computations (28.1% 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 y x) | |
| cost-diff | 0 | (/.f64 y (-.f64 y x)) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 135 |
| 0 | 36 | 135 |
| 1 | 66 | 135 |
| 2 | 139 | 135 |
| 3 | 307 | 135 |
| 4 | 673 | 135 |
| 5 | 2205 | 135 |
| 6 | 4598 | 135 |
| 7 | 5967 | 135 |
| 8 | 6462 | 135 |
| 9 | 6752 | 135 |
| 10 | 6980 | 135 |
| 11 | 7258 | 135 |
| 0 | 8078 | 135 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(/.f64 y (-.f64 y x)) |
y |
(-.f64 y x) |
#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 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) |
(*.f64 (/.f64 x (-.f64 y x)) (*.f64 y #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
x |
(/.f64 y (-.f64 y x)) |
y |
(-.f64 y x) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x #s(literal -2 binary64)) |
#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) |
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 | 0.05859375 | (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) | |
| accuracy | 29.704525221209128 | #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 | 0.06640625 | (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) | |
| accuracy | 0.08984375 | (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) | |
| accuracy | 33.51811315848589 | #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 | 32.93994847782523 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) | |
| accuracy | 0 | (*.f64 #s(literal -2 binary64) x) | |
| accuracy | 29.632255005502635 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0 | (*.f64 #s(literal -2 binary64) x) | |
| accuracy | 0.0078125 | (/.f64 y (-.f64 y x)) | |
| accuracy | 7.4878185203649865 | (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) |
| 44.0ms | 256× | 0 | valid |
Compiled 250 to 47 computations (81.2% saved)
ival-mult: 18.0ms (60.2% of total)ival-div: 7.0ms (23.4% of total)ival-sub: 2.0ms (6.7% of total)ival-add: 2.0ms (6.7% 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 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) |
(*.f64 #s(literal -2 binary64) x) |
(/.f64 y (-.f64 y x)) |
(-.f64 y x) |
#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)) |
(*.f64 #s(literal 2 binary64) y) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(/.f64 x y) |
| Outputs |
|---|
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
1 |
(+ 1 (/ x y)) |
(+ 1 (* x (+ (/ 1 y) (/ x (pow y 2))))) |
(+ 1 (* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)))) |
y |
(+ y (* -1 x)) |
(* 2 (/ (pow y 2) x)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(* 2 (/ y x)) |
(/ (+ (* 2 x) (* 2 y)) x) |
(/ 2 x) |
-2 |
(- (* -2 (/ x y)) 2) |
(/ x y) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow x 2)))) (/ (pow y 2) x)) x) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow x 3)))) (+ (/ (pow y 2) x) (/ (pow y 3) (pow x 2)))) x) |
(* -1 x) |
(* x (- (/ y x) 1)) |
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 (/ (+ y (/ (pow y 2) x)) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) |
(* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) |
(* y (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(- y x) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(/ (+ (* -2 x) (* -2 y)) y) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) |
(- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* (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 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) |
(* -1 (* y (- (/ x y) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | ((* (* -2 x) (/ y (- y x))) (* -2 x) (/ y (- y x)) (- y x) (/ (* (* x 2) y) (- x y)) (/ (* (* 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 | ((* (* -2 x) (/ y (- y x))) (* -2 x) (/ y (- y x)) (- y x) (/ (* (* x 2) y) (- x y)) (/ (* (* 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 | ((* (* -2 x) (/ y (- y x))) (* -2 x) (/ y (- y x)) (- y x) (/ (* (* x 2) y) (- x y)) (/ (* (* 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 | ((* (* -2 x) (/ y (- y x))) (* -2 x) (/ y (- y x)) (- y x) (/ (* (* x 2) y) (- x y)) (/ (* (* 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 | @ | 0 | ((* (* -2 x) (/ y (- y x))) (* -2 x) (/ y (- y x)) (- y x) (/ (* (* x 2) y) (- x y)) (/ (* (* 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 | 756 |
| 1 | 839 | 711 |
| 2 | 3134 | 666 |
| 0 | 8517 | 610 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
1 |
(+ 1 (/ x y)) |
(+ 1 (* x (+ (/ 1 y) (/ x (pow y 2))))) |
(+ 1 (* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)))) |
y |
(+ y (* -1 x)) |
(* 2 (/ (pow y 2) x)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(* 2 (/ y x)) |
(/ (+ (* 2 x) (* 2 y)) x) |
(/ 2 x) |
-2 |
(- (* -2 (/ x y)) 2) |
(/ x y) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow x 2)))) (/ (pow y 2) x)) x) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow x 3)))) (+ (/ (pow y 2) x) (/ (pow y 3) (pow x 2)))) x) |
(* -1 x) |
(* x (- (/ y x) 1)) |
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 (/ (+ y (/ (pow y 2) x)) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) |
(* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) |
(* y (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(- y x) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(/ (+ (* -2 x) (* -2 y)) y) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) |
(- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* (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 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) |
(* -1 (* y (- (/ x y) 1))) |
| 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 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) y) x #s(literal -2 binary64)) x) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 y y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* x (+ (/ 1 y) (/ x (pow y 2))))) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)))) |
(+.f64 (/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x) y) #s(literal 1 binary64)) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(* 2 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 2 binary64)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 y (+.f64 y x))) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(/ (+ (* 2 x) (* 2 y)) x) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
-2 |
#s(literal -2 binary64) |
(- (* -2 (/ x y)) 2) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(/ x y) |
(/.f64 x y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y)) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) y)) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x) |
(/.f64 (fma.f64 y (/.f64 y x) y) (neg.f64 x)) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow x 2)))) (/ (pow y 2) x)) x) |
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) (neg.f64 x)) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow x 3)))) (+ (/ (pow y 2) x) (/ (pow y 3) (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (neg.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) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
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 x (/.f64 x y)) #s(literal -2 binary64)) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) |
(* -2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -2 binary64)) |
(* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) y)) |
(* -1 (/ (+ y (/ (pow y 2) x)) x)) |
(/.f64 (fma.f64 y (/.f64 y x) y) (neg.f64 x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) |
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) (neg.f64 x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) |
(/.f64 (-.f64 (/.f64 (neg.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 (+ 1 (* -1 (/ y x))))) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y)) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) y) |
(* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) |
(*.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64)) x) y) |
(* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 x x)) y (/.f64 #s(literal -1 binary64) x)) y) |
(* y (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y (/.f64 #s(literal -1 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x)) y) |
(- y x) |
(-.f64 y x) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(*.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 x (+.f64 y x))) |
(/ (+ (* -2 x) (* -2 y)) y) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x)) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(*.f64 #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal 1 binary64)) |
(- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) |
(+.f64 (/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x) y) #s(literal 1 binary64)) |
(* y (+ 1 (* -1 (/ x y)))) |
(fma.f64 (/.f64 x (neg.f64 y)) y 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 #s(literal -2 binary64) (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x)) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(*.f64 #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) |
(+.f64 (/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x) y) #s(literal 1 binary64)) |
(* -1 (* y (- (/ x y) 1))) |
(fma.f64 (/.f64 x (neg.f64 y)) y y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 119 |
| 0 | 36 | 119 |
| 1 | 138 | 119 |
| 2 | 932 | 119 |
| 0 | 8901 | 119 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) |
(*.f64 #s(literal -2 binary64) x) |
(/.f64 y (-.f64 y x)) |
(-.f64 y x) |
#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)) |
(*.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 (pow.f64 (*.f64 (/.f64 (-.f64 x y) x) (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 x y) x) (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) (/.f64 x (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 y (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 y (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 y x) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (/.f64 x (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 y (pow.f64 (+.f64 y x) #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 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 y (*.f64 x #s(literal -2 binary64))) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (/.f64 y (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (/.f64 y (-.f64 y x))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 x y))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 y x) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 x (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (neg.f64 y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 y (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (neg.f64 y) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (*.f64 y x) (pow.f64 (+.f64 y x) #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 y x) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 y x)) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 x y))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) y) |
(*.f64 (/.f64 (*.f64 y (*.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (+.f64 y x)))) |
(*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (*.f64 x #s(literal -2 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (*.f64 x #s(literal -2 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 y x)) (*.f64 (/.f64 y (-.f64 y x)) x)) (+.f64 y x)) |
(*.f64 (/.f64 (*.f64 y (*.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (*.f64 y (*.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 y (-.f64 y x)) #s(literal -2 binary64)) x) |
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 x y))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 y (-.f64 y x)) #s(literal -2 binary64)) x)) |
(*.f64 (*.f64 (/.f64 y (-.f64 y x)) x) #s(literal -2 binary64)) |
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 y (*.f64 x #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y (-.f64 y x)) #s(literal -2 binary64)) x)) |
(*.f64 (*.f64 y (*.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (*.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 x (/.f64 y (-.f64 x y)))) |
(*.f64 (/.f64 y (-.f64 y x)) (*.f64 x #s(literal -2 binary64))) |
(*.f64 y (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) |
(*.f64 y (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 y (-.f64 y x))) |
(*.f64 x (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 x y))) |
(*.f64 x (*.f64 #s(literal -2 binary64) (/.f64 y (-.f64 y x)))) |
(*.f64 x (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 x y)))) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y x) (-.f64 x y))) |
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 y (-.f64 y x)) x)) |
(pow.f64 (*.f64 (/.f64 (-.f64 x y) x) (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)) |
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(fma.f64 #s(literal -2 binary64) (/.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 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.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 #s(literal -8 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal -4 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal -4 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal -4 binary64))))) (/.f64 #s(literal -8 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal -4 binary64)))))) |
(+.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 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 (/.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 #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 #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 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.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 18 283 to 2 308 computations (87.4% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 705 | 3 | 708 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 708 | 7 | 715 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 80.5% | (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) |
| ▶ | 88.2% | (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) y) |
| ✓ | 88.3% | (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) |
| ▶ | 48.5% | #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) |
| ▶ | 53.6% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
| ✓ | 47.6% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
| ✓ | 53.7% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
Compiled 89 to 63 computations (29.2% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | -128 | (+.f64 x x) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (*.f64 (+.f64 x x) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) y) | |
| cost-diff | -128 | (+.f64 y y) | |
| cost-diff | 0 | #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) | |
| 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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 102 |
| 0 | 33 | 102 |
| 1 | 57 | 102 |
| 2 | 110 | 102 |
| 3 | 225 | 102 |
| 4 | 477 | 102 |
| 5 | 1677 | 102 |
| 6 | 4046 | 102 |
| 7 | 5589 | 102 |
| 8 | 6932 | 102 |
| 9 | 7280 | 102 |
| 0 | 8164 | 102 |
| 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) |
x |
y |
#s(literal -2 binary64) |
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) |
(+.f64 y y) |
y |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) y) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(-.f64 x y) |
y |
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) |
(*.f64 (+.f64 x x) y) |
(+.f64 x x) |
x |
y |
(-.f64 x y) |
| 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) |
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64))) |
(+.f64 y y) |
(*.f64 y #s(literal 2 binary64)) |
y |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) y) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 y x))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) |
(*.f64 (/.f64 x (-.f64 y x)) #s(literal -2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(-.f64 x y) |
y |
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 y x))) |
(*.f64 (+.f64 x x) y) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(+.f64 x x) |
(*.f64 #s(literal 2 binary64) x) |
x |
y |
(-.f64 x y) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (+.f64 x x) | |
| accuracy | 0 | (*.f64 (+.f64 x x) y) | |
| accuracy | 12.511902524978241 | (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.00390625 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) | |
| accuracy | 7.557725737838396 | (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) y) | |
| accuracy | 0 | (+.f64 y y) | |
| accuracy | 32.93994847782523 | #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 (/.f64 x y) x x) | |
| accuracy | 29.704525221209128 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
| 35.0ms | 256× | 0 | valid |
Compiled 195 to 43 computations (77.9% saved)
ival-mult: 11.0ms (49.2% of total)ival-div: 6.0ms (26.8% of total)ival-add: 3.0ms (13.4% of total)ival-sub: 1.0ms (4.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#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) |
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) |
(+.f64 y y) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) y) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) |
(*.f64 #s(literal 2 binary64) x) |
(-.f64 x y) |
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) |
(*.f64 (+.f64 x x) y) |
(+.f64 x x) |
| 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) |
(* -2 (/ x y)) |
(* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) |
(* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) |
(* 2 x) |
(* -1 y) |
(- 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)))))) |
(* -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))) |
2 |
(+ 2 (* 2 (/ y x))) |
(- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) |
(- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) |
(* 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)) |
(+ 2 (* -1 (/ (- (* -2 (/ (pow y 2) x)) (* 2 y)) x))) |
(+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) 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) |
(+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 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)))))) |
(+ x (/ (pow x 2) y)) |
(/ (+ (* -2 x) (* -2 (/ (pow x 2) y))) y) |
(/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) y) |
(* 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 (/ (+ (* 2 x) (* 2 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (/ (+ (* 2 (/ (pow x 4) y)) (* 2 (pow x 3))) y))) y)) (* 2 x)) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | x | @ | 0 | ((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y) (/ (* (* x 2) y) (- x y)) (+ y y) (* (/ (* 2 x) (- x y)) y) (/ (* 2 x) (- x y)) (* 2 x) (- x y) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x)) |
| 4.0ms | x | @ | inf | ((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y) (/ (* (* x 2) y) (- x y)) (+ y y) (* (/ (* 2 x) (- x y)) y) (/ (* 2 x) (- x y)) (* 2 x) (- x y) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x)) |
| 2.0ms | x | @ | -inf | ((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y) (/ (* (* x 2) y) (- x y)) (+ y y) (* (/ (* 2 x) (- x y)) y) (/ (* 2 x) (- x y)) (* 2 x) (- x y) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x)) |
| 2.0ms | y | @ | -inf | ((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y) (/ (* (* x 2) y) (- x y)) (+ y y) (* (/ (* 2 x) (- x y)) y) (/ (* 2 x) (- x y)) (* 2 x) (- x y) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x)) |
| 1.0ms | y | @ | inf | ((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y) (/ (* (* x 2) y) (- x y)) (+ y y) (* (/ (* 2 x) (- x y)) y) (/ (* 2 x) (- x y)) (* 2 x) (- x y) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 730 |
| 1 | 728 | 684 |
| 2 | 2774 | 640 |
| 0 | 8374 | 576 |
| 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) |
(* -2 (/ x y)) |
(* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) |
(* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) |
(* 2 x) |
(* -1 y) |
(- 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)))))) |
(* -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))) |
2 |
(+ 2 (* 2 (/ y x))) |
(- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) |
(- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) |
(* 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)) |
(+ 2 (* -1 (/ (- (* -2 (/ (pow y 2) x)) (* 2 y)) x))) |
(+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) 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) |
(+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 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)))))) |
(+ x (/ (pow x 2) y)) |
(/ (+ (* -2 x) (* -2 (/ (pow x 2) y))) y) |
(/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) y) |
(* 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 (/ (+ (* 2 x) (* 2 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (/ (+ (* 2 (/ (pow x 4) y)) (* 2 (pow x 3))) y))) y)) (* 2 x)) 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 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) y) x #s(literal -2 binary64)) x) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #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) |
(* -2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -2 binary64)) |
(* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) y) x) |
(* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 y y)) x (/.f64 #s(literal -2 binary64) y)) x) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal -2 binary64) (*.f64 y y))) x (/.f64 #s(literal -2 binary64) y)) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(* 2 (* x y)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) x) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #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))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 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) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) |
(- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 y (/.f64 y x) y) x)) #s(literal 2 binary64)) |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 (/.f64 (neg.f64 y) x) x x) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) y) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(+ 2 (* -1 (/ (- (* -2 (/ (pow y 2) x)) (* 2 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) |
(+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) x))) |
(fma.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 y (/.f64 y x) y) x)) #s(literal 2 binary64)) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 (neg.f64 y) x) x x) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 y (/.f64 y x) y) x)) #s(literal 2 binary64)) y) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) |
(/ (+ (* x y) (pow x 2)) y) |
(fma.f64 (/.f64 x y) x x) |
(+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) |
(+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(fma.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 y (/.f64 y x) y) x)) #s(literal 2 binary64)) |
(+ 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 #s(literal -2 binary64) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x)) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(*.f64 #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(/ (+ (* -2 x) (* -2 (/ (pow x 2) y))) y) |
(/.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) y) |
(/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x)) y) |
(/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) y) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x)) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(*.f64 #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(* -1 (/ (+ (* 2 x) (* 2 (/ (pow x 2) y))) y)) |
(/.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) y) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y)) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x)) y) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (/ (+ (* 2 (/ (pow x 4) y)) (* 2 (pow x 3))) y))) y)) (* 2 x)) y)) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 90 |
| 0 | 33 | 84 |
| 1 | 114 | 80 |
| 0 | 787 | 80 |
| 1× | iter limit |
| 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) |
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) |
(+.f64 y y) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) y) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) |
(*.f64 #s(literal 2 binary64) x) |
(-.f64 x y) |
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) |
(*.f64 (+.f64 x x) y) |
(+.f64 x x) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x y) x x))) |
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 #s(literal -2 binary64) x)) |
(*.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 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal -2 binary64)) (fma.f64 (/.f64 x y) x (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64))) #s(literal -2 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (/.f64 x y) x (neg.f64 x))) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(fma.f64 (*.f64 y x) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 (*.f64 y x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(fma.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(fma.f64 (neg.f64 x) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 (neg.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(fma.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal -2 binary64) x (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 y) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) y (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) y (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) x (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) x (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(fma.f64 y (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 y (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(fma.f64 y #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(fma.f64 #s(literal 2 binary64) y (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(fma.f64 #s(literal 2 binary64) x (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(fma.f64 x #s(literal -2 binary64) (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 x #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(fma.f64 x (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 x (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(+.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x)) (*.f64 #s(literal -2 binary64) x)) |
(+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))) |
(+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x (neg.f64 x)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 x y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (/.f64 x y) x (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 x x)))) |
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(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal -1 binary64) x (neg.f64 x)) |
(fma.f64 y x (*.f64 y x)) |
(fma.f64 x y (*.f64 y x)) |
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(+.f64 (*.f64 y x) (*.f64 y x)) |
(+.f64 (neg.f64 x) (neg.f64 x)) |
(+.f64 y y) |
(+.f64 x x) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x (neg.f64 y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x (neg.f64 y))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(fma.f64 #s(literal -1 binary64) y x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(-.f64 x y) |
(+.f64 (neg.f64 y) x) |
(+.f64 x (neg.f64 y)) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x)) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) y) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 x y))) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 x (-.f64 x y))) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 y (*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x (-.f64 x y)) y)) |
(*.f64 #s(literal 2 binary64) (*.f64 x (/.f64 y (-.f64 x y)))) |
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) |
(*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y))) |
(*.f64 x (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 x y)))) |
(*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (/.f64 (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (-.f64 x y))) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (-.f64 x y))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 0 binary64) (-.f64 x y))) |
(/.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (-.f64 x y)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) y) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 x y))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 x y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (-.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 x y))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 x y)) |
(/.f64 y (*.f64 (/.f64 (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64))) |
(fma.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x) (/.f64 x (-.f64 x y))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)) (/.f64 x (-.f64 x y))) |
(fma.f64 x (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 x (-.f64 x y))) |
(+.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (neg.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) y) |
(*.f64 (*.f64 #s(literal -2 binary64) x) x) |
(*.f64 y (*.f64 #s(literal -2 binary64) x)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 y x)) |
(*.f64 #s(literal 2 binary64) (neg.f64 x)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 x (*.f64 #s(literal -2 binary64) x)) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal -1 binary64) x (neg.f64 x)) |
(fma.f64 y x (*.f64 y x)) |
(fma.f64 x y (*.f64 y x)) |
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(+.f64 (*.f64 y x) (*.f64 y x)) |
(+.f64 (neg.f64 x) (neg.f64 x)) |
(+.f64 y y) |
(+.f64 x x) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (neg.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) y) |
(*.f64 (*.f64 #s(literal -2 binary64) x) x) |
(*.f64 y (*.f64 #s(literal -2 binary64) x)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 y x)) |
(*.f64 #s(literal 2 binary64) (neg.f64 x)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 x (*.f64 #s(literal -2 binary64) x)) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal -1 binary64) x (neg.f64 x)) |
(fma.f64 y x (*.f64 y x)) |
(fma.f64 x y (*.f64 y x)) |
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(+.f64 (*.f64 y x) (*.f64 y x)) |
(+.f64 (neg.f64 x) (neg.f64 x)) |
(+.f64 y y) |
(+.f64 x x) |
Compiled 4 805 to 684 computations (85.8% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 248 | 2 | 250 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 3 | 3 |
| Total | 248 | 9 | 257 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 80.5% | (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) |
| ▶ | 42.2% | (/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 y))) |
| ✓ | 88.2% | (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) y) |
| ✓ | 88.3% | (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) |
| ✓ | 48.5% | #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) |
| ▶ | 3.3% | #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x)) |
| ✓ | 53.6% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
| ✓ | 47.6% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
| ✓ | 53.7% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
Compiled 114 to 80 computations (29.8% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- x y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 (+.f64 x x) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 y))) | |
| cost-diff | -128 | (+.f64 x x) | |
| cost-diff | 0 | #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 47 |
| 0 | 17 | 47 |
| 1 | 35 | 47 |
| 2 | 72 | 47 |
| 3 | 138 | 47 |
| 4 | 329 | 47 |
| 5 | 972 | 47 |
| 6 | 2434 | 47 |
| 7 | 3867 | 47 |
| 8 | 4047 | 47 |
| 9 | 4075 | 47 |
| 10 | 4077 | 47 |
| 11 | 4077 | 47 |
| 12 | 4181 | 47 |
| 13 | 4437 | 47 |
| 14 | 4437 | 47 |
| 15 | 4437 | 47 |
| 16 | 4437 | 47 |
| 0 | 4437 | 47 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x)) |
(+.f64 x x) |
x |
(/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 y))) |
(*.f64 (+.f64 x x) y) |
(+.f64 x x) |
x |
y |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 x x) |
(*.f64 #s(literal 2 binary64) x) |
x |
(/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) #s(approx (- x y) (neg.f64 y))) |
(*.f64 (+.f64 x x) y) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(+.f64 x x) |
(*.f64 #s(literal 2 binary64) x) |
x |
y |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 (+.f64 x x) y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 12.511902524978241 | (/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 y))) | |
| accuracy | 29.62845038025581 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 0 | (+.f64 x x) | |
| accuracy | 61.87065172853394 | #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x)) |
| 19.0ms | 256× | 0 | valid |
Compiled 86 to 26 computations (69.8% saved)
ival-mult: 5.0ms (41.9% of total)ival-div: 3.0ms (25.1% of total)ival-sub: 1.0ms (8.4% of total)ival-add: 1.0ms (8.4% of total)ival-neg: 1.0ms (8.4% 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 x x)) |
(+.f64 x x) |
(/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 y))) |
(*.f64 (+.f64 x x) y) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 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) |
(* 2 (* x y)) |
(* -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 | |
|---|---|---|---|---|
| 24.0ms | x | @ | inf | ((/ (* (* x 2) y) (- x y)) (+ x x) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (- x y) (neg y)) |
| 5.0ms | x | @ | -inf | ((/ (* (* x 2) y) (- x y)) (+ x x) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (- x y) (neg y)) |
| 1.0ms | y | @ | inf | ((/ (* (* x 2) y) (- x y)) (+ x x) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (- x y) (neg y)) |
| 1.0ms | y | @ | -inf | ((/ (* (* x 2) y) (- x y)) (+ x x) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (- x y) (neg y)) |
| 1.0ms | x | @ | 0 | ((/ (* (* x 2) y) (- x y)) (+ x x) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (- x y) (neg y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 355 |
| 1 | 456 | 339 |
| 2 | 1731 | 315 |
| 0 | 8461 | 285 |
| 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) |
(* 2 (* x y)) |
(* -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 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) y) x #s(literal -2 binary64)) x) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 y y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(* 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 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y)) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 (/.f64 (neg.f64 y) x) x x) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 (neg.f64 y) x) x x) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y)) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) 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 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #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))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(*.f64 #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(* y (- (/ x y) 1)) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) y) x #s(literal -2 binary64)) x) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(*.f64 #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 41 |
| 0 | 17 | 41 |
| 1 | 71 | 41 |
| 0 | 450 | 41 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x)) |
(+.f64 x x) |
(/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 y))) |
(*.f64 (+.f64 x x) y) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(+.f64 x x) |
(*.f64 (/.f64 y #s(approx (- x y) (neg.f64 y))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (pow.f64 #s(approx (- x y) (neg.f64 y)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) #s(approx (- x y) (neg.f64 y)))) |
(*.f64 (*.f64 (neg.f64 x) (*.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- x y) (neg.f64 y))))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (pow.f64 #s(approx (- x y) (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 y #s(approx (- x y) (neg.f64 y)))) |
(*.f64 y (/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (- x y) (neg.f64 y)))) |
(*.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 #s(approx (- x y) (neg.f64 y)) #s(literal -1 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 x (/.f64 y #s(approx (- x y) (neg.f64 y))))) |
(*.f64 x (/.f64 (*.f64 y #s(literal 2 binary64)) #s(approx (- x y) (neg.f64 y)))) |
(*.f64 x (*.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 #s(approx (- x y) (neg.f64 y)) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 #s(literal 2 binary64) (/.f64 y #s(approx (- x y) (neg.f64 y))))) |
(pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 y #s(approx (- x y) (neg.f64 y)))) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y #s(approx (- x y) (neg.f64 y)))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) #s(approx (- x y) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 0 binary64) #s(approx (- x y) (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 y #s(literal 2 binary64)))) (neg.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) y) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(approx (- x y) (neg.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) x) y))) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 y #s(literal 2 binary64))) (neg.f64 #s(approx (- x y) (neg.f64 y)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) #s(approx (- x y) (neg.f64 y))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 y #s(literal 2 binary64))) #s(approx (- x y) (neg.f64 y)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (neg.f64 #s(approx (- x y) (neg.f64 y))))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) x) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(*.f64 y (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) (*.f64 y x)) |
(*.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x x #s(literal 0 binary64))) |
(fma.f64 y x (*.f64 y x)) |
(fma.f64 x y (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 y x)) |
#s(approx (- x y) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) |
(neg.f64 y) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
Compiled 1 418 to 240 computations (83.1% saved)
9 alts after pruning (0 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 88 | 0 | 88 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 7 | 7 |
| Total | 88 | 9 | 97 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 80.5% | (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) |
| ✓ | 42.2% | (/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 y))) |
| ✓ | 88.2% | (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) y) |
| ✓ | 88.3% | (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) |
| ✓ | 48.5% | #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) |
| ✓ | 3.3% | #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x)) |
| ✓ | 53.6% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
| ✓ | 47.6% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
| ✓ | 53.7% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
Compiled 277 to 126 computations (54.5% saved)
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y 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) y)) |
(/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 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 (+.f64 x x) y) (-.f64 x y)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 y x))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) y) |
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 y x))) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 y x))) |
3 calls:
| 5.0ms | x |
| 5.0ms | y |
| 5.0ms | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | x |
| 100.0% | 3 | y |
| 99.8% | 5 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y 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) y)) |
(/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 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 (+.f64 x x) y) (-.f64 x y)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) |
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) |
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) |
3 calls:
| 14.0ms | x |
| 4.0ms | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 5 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 93.6% | 3 | y |
| 94.4% | 2 | x |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y 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) y)) |
(/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 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 (+.f64 x x) y) (-.f64 x y)) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
3 calls:
| 5.0ms | y |
| 4.0ms | x |
| 3.0ms | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 5 | y |
| 87.8% | 4 | x |
| 91.8% | 5 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y 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) y)) |
(/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 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 y y)) |
#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 y y)) |
3 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.5% | 3 | x |
| 77.0% | 3 | y |
| 60.6% | 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 x x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y 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) y)) |
(/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 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)) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y 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 y y)) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.5% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y 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) y)) |
(/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 y))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.0% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) |
3 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.5% | 1 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 48.5% | 1 | y |
| 48.5% | 1 | x |
Compiled 11 to 11 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x)) |
3 calls:
| 7.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.3% | 1 | x |
| 3.3% | 1 | y |
| 3.3% | 1 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
Compiled 11 to 11 computations (0% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 2.1696474232378082e-5 | 0.0003821818014292034 |
| 2.0ms | -1.1235420702115968e-18 | -1.4359913524820998e-19 |
| 3.0ms | 64× | 0 | valid |
Compiled 84 to 76 computations (9.5% saved)
ival-mult: 1.0ms (61.9% 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)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.3632200497151086e-46 | 1.0233282370284251e-43 |
| 0.0ms | -0.0 | 3.1478146635409016e-307 |
| 0.0ms | -5.937828827508006e-299 | -1.1186649976479685e-303 |
| 0.0ms | -1.0400652978519975e-41 | -8.275805455633296e-43 |
Compiled 12 to 12 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0763892350902173e+129 | +inf |
| 0.0ms | -0.0 | 3.1478146635409016e-307 |
| 0.0ms | -5.937828827508006e-299 | -1.1186649976479685e-303 |
| 0.0ms | -inf | -2.1866973384980642e+129 |
Compiled 12 to 12 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 3.4974165757391574e-47 | 2.0315871953892652e-45 |
| 0.0ms | -3.4390830428398015e+45 | -3.425261729109415e+45 |
| 7.0ms | 112× | 0 | valid |
Compiled 229 to 173 computations (24.5% saved)
ival-sub: 1.0ms (35.6% of total)ival-div: 1.0ms (35.6% of total)ival-mult: 1.0ms (35.6% 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 | 3.4974165757391574e-47 | 2.0315871953892652e-45 |
| 0.0ms | -3.4390830428398015e+45 | -3.425261729109415e+45 |
Compiled 229 to 173 computations (24.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 3.4974165757391574e-47 | 2.0315871953892652e-45 |
| 0.0ms | -3.4390830428398015e+45 | -3.425261729109415e+45 |
| 2.0ms | 32× | 0 | valid |
Compiled 194 to 159 computations (18% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 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 | 71 | 415 |
| 1 | 84 | 415 |
| 2 | 91 | 415 |
| 3 | 100 | 415 |
| 4 | 125 | 415 |
| 5 | 158 | 415 |
| 6 | 218 | 415 |
| 7 | 366 | 415 |
| 8 | 502 | 415 |
| 9 | 629 | 415 |
| 10 | 723 | 415 |
| 11 | 793 | 415 |
| 12 | 795 | 415 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 y x))) (if (<=.f64 x #s(literal 7378697629483821/73786976294838206464 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 y x))))) |
(if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -7846377169233351/784637716923335095479473677900958302012794430558004314112 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -4712544691453469/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208 binary64)) (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 6427752177035961/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))))))) |
(if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -inf.0 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -4712544691453469/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208 binary64)) (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 0 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 1999999999999999996434887128370482831977857737518825000873086679459880803811809298994231532284537120019554351933503330752464420864 binary64)) (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)))))) |
(if (<=.f64 x #s(literal -3430000000000000009428494899232247479961387008 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (if (<=.f64 x #s(literal 2828210957895823/12855504354071922204335696738729300820177623950262342682411008 binary64)) #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 y y)))) |
(if (<=.f64 x #s(literal -3430000000000000009428494899232247479961387008 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (if (<=.f64 x #s(literal 2828210957895823/12855504354071922204335696738729300820177623950262342682411008 binary64)) #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 y y)))) |
(if (<=.f64 x #s(literal -3430000000000000009428494899232247479961387008 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (if (<=.f64 x #s(literal 6427752177035961/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)))) |
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x)) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 y x))) (if (<=.f64 x #s(literal 7378697629483821/73786976294838206464 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 y x))))) |
(if (<=.f64 x #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) (*.f64 (/.f64 x (-.f64 y x)) (*.f64 y #s(literal -2 binary64))) (if (<=.f64 x #s(literal 7378697629483821/73786976294838206464 binary64)) (*.f64 (/.f64 y (-.f64 y x)) (*.f64 #s(literal -2 binary64) x)) (*.f64 (/.f64 x (-.f64 y x)) (*.f64 y #s(literal -2 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -7846377169233351/784637716923335095479473677900958302012794430558004314112 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -4712544691453469/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208 binary64)) (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 6427752177035961/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))))))) |
(if (<=.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (-.f64 x y)) #s(literal -7846377169233351/784637716923335095479473677900958302012794430558004314112 binary64)) (*.f64 (/.f64 y (-.f64 y x)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (-.f64 x y)) #s(literal -4712544691453469/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208 binary64)) (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) (if (<=.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (-.f64 x y)) #s(literal 0 binary64)) (*.f64 (/.f64 y (-.f64 y x)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (-.f64 x y)) #s(literal 6427752177035961/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) (*.f64 (/.f64 y (-.f64 y x)) (*.f64 #s(literal -2 binary64) x)))))) |
(if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -inf.0 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -4712544691453469/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208 binary64)) (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 0 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 1999999999999999996434887128370482831977857737518825000873086679459880803811809298994231532284537120019554351933503330752464420864 binary64)) (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)))))) |
(if (<=.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (-.f64 x y)) #s(literal -inf.0 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (-.f64 x y)) #s(literal -4712544691453469/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208 binary64)) (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) (if (<=.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (-.f64 x y)) #s(literal 0 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) (if (<=.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (-.f64 x y)) #s(literal 1999999999999999996434887128370482831977857737518825000873086679459880803811809298994231532284537120019554351933503330752464420864 binary64)) (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)))))) |
(if (<=.f64 x #s(literal -3430000000000000009428494899232247479961387008 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (if (<=.f64 x #s(literal 2828210957895823/12855504354071922204335696738729300820177623950262342682411008 binary64)) #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 y y)))) |
(if (<=.f64 x #s(literal -3430000000000000009428494899232247479961387008 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (if (<=.f64 x #s(literal 2828210957895823/12855504354071922204335696738729300820177623950262342682411008 binary64)) #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 y y)))) |
(if (<=.f64 x #s(literal -3430000000000000009428494899232247479961387008 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (if (<=.f64 x #s(literal 6427752177035961/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)))) |
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 90 |
| 0 | 33 | 84 |
| 1 | 114 | 80 |
| 0 | 787 | 80 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 41 | 20 |
| 2 | 263 | 20 |
| 3 | 2932 | 20 |
| 0 | 10207 | 20 |
| 0 | 23 | 119 |
| 0 | 36 | 119 |
| 1 | 138 | 119 |
| 2 | 932 | 119 |
| 0 | 8901 | 119 |
| 0 | 136 | 355 |
| 1 | 456 | 339 |
| 2 | 1731 | 315 |
| 0 | 8458 | 285 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 610 to 221 computations (63.8% saved)
Compiled 918 to 190 computations (79.3% saved)
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