
Time bar (total: 6.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 9 computations (18.2% saved)
| 1.4s | 8 256× | 0 | valid |
ival-mult: 374.0ms (51.1% of total)ival-div: 248.0ms (33.9% of total)ival-sub: 88.0ms (12% of total)ival-true: 9.0ms (1.2% of total)exact: 8.0ms (1.1% of total)ival-assert: 5.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 62 | 0 | - | 2 | (-1.5169638772703202e-99 -8.787208866259534e-217) | (/.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 | 36 | 0 |
| ↳ | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | overflow | 36 | |
/.f64 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) | u/n | 24 | 0 |
| ↳ | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | underflow | 24 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 60 | 2 |
| - | 0 | 194 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 60 | 0 | 2 |
| - | 0 | 0 | 194 |
| number | freq |
|---|---|
| 0 | 196 |
| 1 | 60 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 27.0ms | 512× | 0 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-mult: 7.0ms (50.2% of total)ival-sub: 3.0ms (21.5% of total)ival-div: 3.0ms (21.5% 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 | 55 |
| 1 | 50 | 49 |
| 2 | 155 | 49 |
| 3 | 489 | 49 |
| 4 | 947 | 49 |
| 5 | 1283 | 49 |
| 6 | 1511 | 49 |
| 7 | 1711 | 49 |
| 8 | 1851 | 49 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 19 | 9 |
| 2 | 39 | 9 |
| 3 | 63 | 9 |
| 4 | 87 | 9 |
| 5 | 125 | 9 |
| 6 | 184 | 9 |
| 7 | 298 | 9 |
| 8 | 524 | 9 |
| 9 | 659 | 9 |
| 10 | 707 | 9 |
| 11 | 737 | 9 |
| 0 | 737 | 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) (-.f64 x y)) (*.f64 y x)) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.6% | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 19 | 23 |
| 2 | 39 | 23 |
| 3 | 63 | 23 |
| 4 | 87 | 23 |
| 5 | 125 | 23 |
| 6 | 184 | 23 |
| 7 | 298 | 23 |
| 8 | 524 | 23 |
| 9 | 659 | 23 |
| 10 | 707 | 23 |
| 11 | 737 | 23 |
| 0 | 737 | 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) (-.f64 x y)) (*.f64 y x)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 y (*.f64 #s(literal 2 binary64) x)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
y |
(-.f64 x y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | |
| accuracy | 0.0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 14.328832399772498 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 26.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-div: 14.0ms (75.6% of total)ival-mult: 3.0ms (16.2% of total)ival-sub: 1.0ms (5.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 x #s(literal 2 binary64)) |
(-.f64 x y) |
| Outputs |
|---|
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(* 2 (* x y)) |
(* 2 x) |
(* -1 y) |
(- x y) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* -1 (* x (- (/ y x) 1))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(+ x (* -1 y)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(* y (- (/ x y) 1)) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y)) |
| 2.0ms | x | @ | -inf | ((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y)) |
| 1.0ms | x | @ | 0 | ((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y)) |
| 1.0ms | y | @ | inf | ((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y)) |
| 1.0ms | y | @ | -inf | ((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 361 |
| 1 | 445 | 341 |
| 2 | 1640 | 316 |
| 0 | 8645 | 289 |
| 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 (-.f64 (*.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 (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #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 (-.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #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 (/.f64 y x) y y) y)) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y 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 (/.f64 y x) y 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 (/.f64 y x) y y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y 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 x (/.f64 x y) x) #s(literal -2 binary64)) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x y) (fma.f64 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))))) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) 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 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 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 35 | 20 |
| 2 | 181 | 20 |
| 3 | 1557 | 20 |
| 0 | 9036 | 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 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) |
(*.f64 (*.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) x) |
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 y x)) (*.f64 (/.f64 y (-.f64 x y)) x)) (+.f64 y x)) |
(*.f64 (/.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 y (*.f64 #s(literal -2 binary64) 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 (/.f64 (/.f64 y (+.f64 y x)) (-.f64 x y)) (*.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (/.f64 y (-.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)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64)) |
(*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y)))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 x y))) |
(*.f64 (+.f64 y x) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 y x)) (*.f64 (/.f64 y (-.f64 x y)) x))) |
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(*.f64 (*.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 x y))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y)))) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 x y))) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y (-.f64 x y)) x)) |
(*.f64 x (*.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 y x)) (*.f64 (/.f64 y (-.f64 x y)) x))) (*.f64 y (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 y x)) (*.f64 (/.f64 y (-.f64 x y)) x)))) (*.f64 (*.f64 x (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 y x)) (*.f64 (/.f64 y (-.f64 x y)) x))) (*.f64 x (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 y x)) (*.f64 (/.f64 y (-.f64 x y)) x))))) (-.f64 (*.f64 y (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 y x)) (*.f64 (/.f64 y (-.f64 x y)) x))) (*.f64 x (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 y x)) (*.f64 (/.f64 y (-.f64 x y)) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 y x)) (*.f64 (/.f64 y (-.f64 x y)) x))) (*.f64 x (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 y x)) (*.f64 (/.f64 y (-.f64 x y)) x)))) (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 y x)) (*.f64 (/.f64 y (-.f64 x y)) x))) (*.f64 y (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 y x)) (*.f64 (/.f64 y (-.f64 x y)) x))))) (-.f64 (*.f64 x (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 y x)) (*.f64 (/.f64 y (-.f64 x y)) x))) (*.f64 y (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 y x)) (*.f64 (/.f64 y (-.f64 x y)) x))))) |
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(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 9 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 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 9 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 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 x #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 (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 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (+.f64 y x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 y x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (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 (pow.f64 y #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (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 x (/.f64 x (+.f64 y x))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) 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))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(-.f64 (neg.f64 x) (neg.f64 y)) |
(-.f64 x y) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 x #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 (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 y (/.f64 y (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x)))) |
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.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))) (/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (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 (*.f64 (*.f64 (neg.f64 y) y) y) (neg.f64 (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 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (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 (*.f64 (*.f64 (neg.f64 y) y) y) (neg.f64 (neg.f64 (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 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 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 (*.f64 (*.f64 (neg.f64 y) y) y) (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) |
Compiled 11 118 to 993 computations (91.1% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 304 | 7 | 311 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 305 | 7 | 312 |
| Status | Accuracy | Program |
|---|---|---|
| 77.6% | (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) | |
| ▶ | 88.8% | (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) |
| ▶ | 51.0% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
| ▶ | 48.8% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) |
| 51.7% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y))) | |
| ▶ | 51.5% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
| ▶ | 49.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
Compiled 206 to 140 computations (32% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 x y) | |
| cost-diff | 0 | (fma.f64 x (/.f64 x y) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 x (-.f64 x y)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 139 |
| 0 | 38 | 139 |
| 1 | 64 | 139 |
| 2 | 125 | 139 |
| 3 | 257 | 139 |
| 4 | 563 | 139 |
| 5 | 1105 | 139 |
| 6 | 2196 | 139 |
| 7 | 4415 | 139 |
| 8 | 5627 | 139 |
| 9 | 7216 | 139 |
| 0 | 8086 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) |
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) |
#s(literal 2 binary64) |
(/.f64 x (-.f64 x y)) |
x |
(-.f64 x y) |
y |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) |
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) |
(fma.f64 x (/.f64 x y) x) |
x |
(/.f64 x y) |
y |
#s(literal -2 binary64) |
#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 |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) |
(*.f64 (*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) y) |
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) |
(*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 x (-.f64 x y)) |
x |
(-.f64 x y) |
y |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
y |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(fma.f64 x (/.f64 x y) x) |
(fma.f64 (/.f64 x y) x x) |
x |
(/.f64 x y) |
y |
#s(literal -2 binary64) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.0625 | (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) | |
| accuracy | 0.0625 | (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) | |
| accuracy | 31.336505813997867 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 x (/.f64 x y) x) | |
| accuracy | 32.74669916447206 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) y) | |
| accuracy | 31.021862674637052 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) | |
| accuracy | 0.0 | (*.f64 #s(literal -2 binary64) x) | |
| accuracy | 32.47942723454459 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.00390625 | (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) | |
| accuracy | 0.01171875 | (/.f64 x (-.f64 x y)) | |
| accuracy | 7.161176772399296 | (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) |
| 61.0ms | 256× | 0 | valid |
Compiled 119 to 23 computations (80.7% saved)
ival-sub: 21.0ms (43.9% of total)ival-mult: 16.0ms (33.5% of total)ival-div: 7.0ms (14.6% of total)ival-add: 2.0ms (4.2% 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) (/.f64 x (-.f64 x y))) y) |
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) |
(/.f64 x (-.f64 x y)) |
(-.f64 x y) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) |
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) |
(fma.f64 x (/.f64 x y) x) |
(/.f64 x 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) |
| Outputs |
|---|
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(* -2 (/ x y)) |
(* x (- (* -2 (/ 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)))) |
(* -1 (/ x y)) |
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* -1 y) |
(- x y) |
x |
(* x (+ 1 (/ x y))) |
(/ x y) |
(* 2 (/ (pow y 2) x)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(* 2 (/ y x)) |
(/ (+ (* 2 x) (* 2 y)) x) |
(/ 2 x) |
(* 2 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 |
(+ 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))))) |
1 |
(+ 1 (/ y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -2 (/ (pow x 2) y)) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(+ (* -1 (/ (+ (* -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 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) |
(* -1 (* x (- (/ y x) 1))) |
(* 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 (* 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))))) |
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))) |
(+ x (* -1 y)) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(/ (+ (* x y) (pow x 2)) y) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(/ (+ (* -2 x) (* -2 (/ (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) |
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y) |
(* y (- (/ x y) 1)) |
(+ x (/ (pow x 2) 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 (/ (+ (* 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 (/ (+ x (/ (pow x 2) y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | ((* (* 2 (/ x (- x y))) y) (* 2 (/ x (- x y))) (/ x (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* 2 y) (/ (* (* x 2) y) (- x y)) (* (+ (* x (/ x y)) x) -2) (+ (* x (/ x y)) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x)) |
| 2.0ms | x | @ | -inf | ((* (* 2 (/ x (- x y))) y) (* 2 (/ x (- x y))) (/ x (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* 2 y) (/ (* (* x 2) y) (- x y)) (* (+ (* x (/ x y)) x) -2) (+ (* x (/ x y)) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x)) |
| 2.0ms | y | @ | -inf | ((* (* 2 (/ x (- x y))) y) (* 2 (/ x (- x y))) (/ x (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* 2 y) (/ (* (* x 2) y) (- x y)) (* (+ (* x (/ x y)) x) -2) (+ (* x (/ x y)) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x)) |
| 2.0ms | x | @ | inf | ((* (* 2 (/ x (- x y))) y) (* 2 (/ x (- x y))) (/ x (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* 2 y) (/ (* (* x 2) y) (- x y)) (* (+ (* x (/ x y)) x) -2) (+ (* x (/ x y)) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x)) |
| 2.0ms | y | @ | inf | ((* (* 2 (/ x (- x y))) y) (* 2 (/ x (- x y))) (/ x (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* 2 y) (/ (* (* x 2) y) (- x y)) (* (+ (* x (/ x y)) x) -2) (+ (* x (/ x y)) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 292 | 1080 |
| 1 | 991 | 1002 |
| 2 | 3468 | 963 |
| 0 | 8530 | 899 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(* -2 (/ x y)) |
(* x (- (* -2 (/ 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)))) |
(* -1 (/ x y)) |
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* -1 y) |
(- x y) |
x |
(* x (+ 1 (/ x y))) |
(/ x y) |
(* 2 (/ (pow y 2) x)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(* 2 (/ y x)) |
(/ (+ (* 2 x) (* 2 y)) x) |
(/ 2 x) |
(* 2 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 |
(+ 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))))) |
1 |
(+ 1 (/ y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -2 (/ (pow x 2) y)) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(+ (* -1 (/ (+ (* -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 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) |
(* -1 (* x (- (/ y x) 1))) |
(* 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 (* 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))))) |
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))) |
(+ x (* -1 y)) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(/ (+ (* x y) (pow x 2)) y) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(/ (+ (* -2 x) (* -2 (/ (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) |
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y) |
(* y (- (/ x y) 1)) |
(+ x (/ (pow x 2) 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 (/ (+ (* 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 (/ (+ x (/ (pow x 2) y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
| Outputs |
|---|
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* -2 (/ x y)) 2)) |
(*.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 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) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x) |
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) x x) |
(/ x y) |
(/.f64 x y) |
(* 2 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 2 binary64)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (+.f64 y x)) x)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/ (+ (* 2 x) (* 2 y)) x) |
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 y x) x)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ (* 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)))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) y (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
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 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y x)) |
(+.f64 (/.f64 y x) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) |
(fma.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) |
(+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) y (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64)) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -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 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) y)) (*.f64 x x)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x (/.f64 (*.f64 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)) |
(fma.f64 #s(literal 2 binary64) y (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) y (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x))) (neg.f64 x))) |
(+ 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 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) |
(fma.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) |
(+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) y (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64)) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(* 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 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) y) |
(+ 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 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) |
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))) |
(+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) y (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (+.f64 y x)) y)) |
(/ (+ (* x y) (pow x 2)) y) |
(/.f64 (*.f64 x (+.f64 y x)) y) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) 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) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) |
(/ (+ (* -2 x) (* -2 (/ (pow x 2) y))) y) |
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) y)) |
(/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) 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) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) y) |
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y) |
(/.f64 (fma.f64 (/.f64 x y) x x) (neg.f64 y)) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y) |
(/.f64 (-.f64 (-.f64 (neg.f64 x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y)) y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y)) y) y) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y)) y) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) 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) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) |
(* -1 (/ (+ (* 2 x) (* 2 (/ (pow x 2) y))) y)) |
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y)) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) 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) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) y) |
(* -1 (/ (+ x (/ (pow x 2) y)) y)) |
(/.f64 (fma.f64 (/.f64 x y) x x) (neg.f64 y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 x (/.f64 (neg.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) (neg.f64 y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64)))) y) (*.f64 x x)) y)) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 126 |
| 0 | 38 | 128 |
| 1 | 109 | 128 |
| 2 | 600 | 92 |
| 3 | 6979 | 92 |
| 0 | 8009 | 92 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) |
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) |
(/.f64 x (-.f64 x y)) |
(-.f64 x y) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) |
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) |
(fma.f64 x (/.f64 x y) x) |
(/.f64 x 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) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (neg.f64 y) y (*.f64 x x))) (neg.f64 (+.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)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 (+.f64 y x))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3/2 binary64))) |
(*.f64 (fabs.f64 (*.f64 #s(literal -2 binary64) y)) (fabs.f64 (*.f64 #s(literal -2 binary64) y))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) x) |
(*.f64 (*.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) x) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x)))) (+.f64 y x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x)))) (*.f64 (+.f64 y x) y)) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.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)) y)) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (+.f64 y x) #s(literal 2 binary64))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) y))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 (+.f64 y x) (+.f64 y x))) |
(*.f64 (/.f64 x (-.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 2 binary64))) |
(*.f64 (/.f64 x (-.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)) (*.f64 #s(literal -2 binary64) y))) |
(*.f64 (/.f64 x (-.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)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 y (+.f64 y x)) (*.f64 #s(literal -2 binary64) y)) (neg.f64 (+.f64 y x))) |
(*.f64 (*.f64 (/.f64 y (+.f64 y x)) (*.f64 #s(literal -2 binary64) y)) (+.f64 y x)) |
(*.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.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 (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (+.f64 y x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 y (-.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)) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 x (-.f64 x y)) y) #s(literal 2 binary64)) |
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))))) |
(*.f64 (+.f64 y x) (*.f64 (/.f64 y (+.f64 y x)) (*.f64 #s(literal -2 binary64) y))) |
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.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)) (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(*.f64 (*.f64 y x) (/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 x y)))) |
(*.f64 (*.f64 y x) (/.f64 #s(literal 2 binary64) (-.f64 x y))) |
(*.f64 (*.f64 y y) #s(literal 4 binary64)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 y y)) |
(*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 (neg.f64 y) (/.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 (-.f64 x y)))) |
(*.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) y)) |
(*.f64 (neg.f64 y) #s(literal 2 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 x y)))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 (neg.f64 x) (-.f64 x y))) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -2 binary64) y)) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 x y))) |
(*.f64 (*.f64 #s(literal -2 binary64) y) y) |
(*.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (neg.f64 (-.f64 x y)))) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 x y))) |
(*.f64 #s(literal -2 binary64) y) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (neg.f64 y) (-.f64 x y))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 y (neg.f64 (-.f64 x y)))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 x y))) |
(*.f64 (/.f64 x (-.f64 x y)) (*.f64 #s(literal -2 binary64) y)) |
(*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) |
(*.f64 y (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 x y))) |
(*.f64 y (/.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 (-.f64 x y)))) |
(*.f64 y #s(literal 4 binary64)) |
(*.f64 y (*.f64 #s(literal -2 binary64) y)) |
(*.f64 y #s(literal -2 binary64)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y))) |
(*.f64 x (*.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y x) (neg.f64 (-.f64 x y)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x (-.f64 x y)) y)) |
(*.f64 #s(literal 2 binary64) (neg.f64 y)) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y)) |
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) |
(*.f64 #s(literal 2 binary64) y) |
(pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64)) |
(pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 x y)) (neg.f64 x) (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 x))) (neg.f64 (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 x y)) x (*.f64 (neg.f64 x) (-.f64 x y))) (neg.f64 (-.f64 x y))) (-.f64 x y)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 x y)) x (*.f64 (neg.f64 x) (-.f64 x y))) (-.f64 x y)) (neg.f64 (-.f64 x y))) |
(/.f64 (/.f64 (fma.f64 (-.f64 x y) x (*.f64 (-.f64 x y) x)) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 y x)) (fma.f64 (neg.f64 y) y (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (+.f64 y x)) (fma.f64 (neg.f64 y) y (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (fma.f64 (+.f64 y x) y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (-.f64 x y))) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (-.f64 x y))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64))) y) (+.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 (-.f64 x y)) (neg.f64 x) (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 x))) y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 (-.f64 x y)) x (*.f64 (neg.f64 x) (-.f64 x y))) y) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (-.f64 x y) x (*.f64 (-.f64 x y) x)) y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x)))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y)) |
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 y x) y))) |
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #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 (*.f64 (*.f64 (/.f64 y (+.f64 y x)) (*.f64 #s(literal -2 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (/.f64 y (+.f64 y x)) (*.f64 #s(literal -2 binary64) y)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 y x) y))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #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 (*.f64 (/.f64 x (-.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 y (fma.f64 (neg.f64 (-.f64 x y)) (neg.f64 x) (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 x)))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (*.f64 y (fma.f64 (neg.f64 (-.f64 x y)) x (*.f64 (neg.f64 x) (-.f64 x y)))) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 y (fma.f64 (-.f64 x y) x (*.f64 (-.f64 x y) x))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 x y)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x y)) y) (*.f64 (/.f64 x (-.f64 x y)) y)) (*.f64 (*.f64 (/.f64 x (-.f64 x y)) y) (*.f64 (/.f64 x (-.f64 x y)) y))) (-.f64 (*.f64 (/.f64 x (-.f64 x y)) y) (*.f64 (/.f64 x (-.f64 x y)) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x y)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 x y)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x (-.f64 x y)) y) (*.f64 (/.f64 x (-.f64 x y)) y) (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x y)) y) (*.f64 (/.f64 x (-.f64 x y)) y)) (*.f64 (*.f64 (/.f64 x (-.f64 x y)) y) (*.f64 (/.f64 x (-.f64 x y)) y))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (-.f64 x y)) (neg.f64 x) (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 x)))) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (-.f64 x y)) x (*.f64 (neg.f64 x) (-.f64 x y)))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 (-.f64 x y) x))) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 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 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
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(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64)) (neg.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64))))) |
(fma.f64 (/.f64 #s(literal 8 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64)))) |
(fma.f64 (/.f64 #s(literal 8 binary64) (+.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 4 binary64)) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 4 binary64)) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) x) y #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3/2 binary64)) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64)))) |
(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64)))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 y x) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) y #s(literal 2 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 y y) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 y) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 y x) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) |
(fma.f64 #s(literal -2 binary64) (/.f64 y (neg.f64 x)) #s(literal 2 binary64)) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)) |
(fma.f64 y (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) |
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) |
(fma.f64 y (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) |
(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2 binary64) (neg.f64 (/.f64 y x)) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) |
(-.f64 (-.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 y x)) |
(-.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)))) |
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) |
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 y x)) |
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64)))) |
(+.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 2 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) |
(/.f64 #s(literal -2 binary64) (neg.f64 x)) |
(/.f64 #s(literal 2 binary64) x) |
(neg.f64 (/.f64 #s(literal -2 binary64) x)) |
Compiled 20 695 to 2 304 computations (88.9% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 782 | 4 | 786 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 785 | 8 | 793 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.6% | (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) |
| ▶ | 51.5% | (+.f64 y y) |
| ✓ | 88.8% | (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) |
| ▶ | 38.0% | (*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 x y) #s(literal -2 binary64))) y) |
| ▶ | 87.4% | (*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) |
| ✓ | 48.8% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) |
| ✓ | 49.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
| ▶ | 51.0% | #s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
Compiled 148 to 107 computations (27.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (+.f64 x x) | |
| cost-diff | 0 | (*.f64 (+.f64 x x) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (fma.f64 y (/.f64 y x) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 x y) #s(literal -2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 x y) #s(literal -2 binary64))) y) | |
| cost-diff | 0 | (+.f64 y y) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (-.f64 x y)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y) | |
| cost-diff | 0 | (*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 130 |
| 0 | 39 | 130 |
| 1 | 66 | 130 |
| 2 | 124 | 130 |
| 3 | 229 | 130 |
| 4 | 475 | 130 |
| 5 | 1012 | 130 |
| 6 | 2106 | 130 |
| 7 | 3770 | 130 |
| 8 | 4869 | 130 |
| 9 | 5782 | 130 |
| 10 | 6378 | 130 |
| 11 | 6738 | 130 |
| 12 | 6768 | 130 |
| 13 | 6768 | 130 |
| 14 | 6772 | 130 |
| 15 | 6772 | 130 |
| 16 | 6772 | 130 |
| 17 | 6904 | 130 |
| 18 | 7071 | 130 |
| 19 | 7071 | 130 |
| 20 | 7071 | 130 |
| 0 | 7071 | 130 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) |
x |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y) |
(/.f64 #s(literal 2 binary64) (-.f64 x y)) |
#s(literal 2 binary64) |
(-.f64 x y) |
y |
(+.f64 y y) |
y |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 x y) #s(literal -2 binary64))) y) |
#s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 x y) #s(literal -2 binary64))) |
(*.f64 (/.f64 x y) #s(literal -2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal -2 binary64) |
#s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) |
(fma.f64 y (/.f64 y x) y) |
y |
(/.f64 y x) |
x |
#s(literal 2 binary64) |
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) |
(*.f64 (+.f64 x x) y) |
(+.f64 x x) |
x |
y |
(-.f64 x y) |
| Outputs |
|---|
(*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) |
(*.f64 (*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) y) |
x |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y) |
(/.f64 #s(literal 2 binary64) (-.f64 x y)) |
#s(literal 2 binary64) |
(-.f64 x y) |
y |
(+.f64 y y) |
(*.f64 y #s(literal 2 binary64)) |
y |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 x y) #s(literal -2 binary64))) y) |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 #s(literal -2 binary64) (/.f64 x y))) y) |
#s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 x y) #s(literal -2 binary64))) |
#s(approx (* 2 (/ x (- x y))) (*.f64 #s(literal -2 binary64) (/.f64 x y))) |
(*.f64 (/.f64 x y) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(literal -2 binary64) |
#s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
#s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 (/.f64 y x) y y) #s(literal 2 binary64))) |
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) |
(*.f64 (fma.f64 (/.f64 y x) y y) #s(literal 2 binary64)) |
(fma.f64 y (/.f64 y x) y) |
(fma.f64 (/.f64 y x) y y) |
y |
(/.f64 y x) |
x |
#s(literal 2 binary64) |
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) |
(*.f64 (*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) 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 |
(-.f64 x y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (+.f64 x x) | |
| accuracy | 0.0 | (*.f64 (+.f64 x x) y) | |
| accuracy | 14.328832399772498 | (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.0 | (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) | |
| accuracy | 0.05859375 | (fma.f64 y (/.f64 y x) y) | |
| accuracy | 31.336505813997867 | #s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 x y) #s(literal -2 binary64)) | |
| accuracy | 7.161176772399296 | (*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 x y) #s(literal -2 binary64))) y) | |
| accuracy | 32.601408500632125 | #s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 x y) #s(literal -2 binary64))) | |
| accuracy | 0.0 | (+.f64 y y) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.00390625 | (/.f64 #s(literal 2 binary64) (-.f64 x y)) | |
| accuracy | 0.1796875 | (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y) | |
| accuracy | 7.924001548865143 | (*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) |
| 44.0ms | 256× | 0 | valid |
Compiled 113 to 23 computations (79.6% saved)
ival-mult: 12.0ms (47.6% of total)ival-div: 8.0ms (31.7% of total)ival-add: 3.0ms (11.9% of total)ival-sub: 2.0ms (7.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y) |
(/.f64 #s(literal 2 binary64) (-.f64 x y)) |
(-.f64 x y) |
(+.f64 y y) |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 x y) #s(literal -2 binary64))) y) |
#s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 x y) #s(literal -2 binary64))) |
(*.f64 (/.f64 x y) #s(literal -2 binary64)) |
(/.f64 x y) |
#s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) |
(fma.f64 y (/.f64 y x) y) |
(/.f64 y x) |
(/.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)) |
-2 |
(- (* -2 (/ x y)) 2) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2) |
(/ -2 y) |
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))) |
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(* -1 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)))) |
(/ x y) |
(* 2 (/ (pow y 2) x)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(/ (pow y 2) x) |
(/ (+ (* x y) (pow y 2)) x) |
(/ y x) |
(* 2 (* x y)) |
(* 2 x) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(* 2 (/ y x)) |
(/ (+ (* 2 y) (* 2 (/ (pow y 2) x))) x) |
(/ (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) x) |
(/ (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) x) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ y x))) x) |
(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x) |
(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
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))))) |
y |
(+ y (/ (pow y 2) x)) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* -1 (/ (+ (* -2 y) (* -2 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* 2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) x)) |
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow y 4) x)) (* -2 (pow y 3))) x)) (* 2 (pow y 2))) x))) x)) |
(* -1 (/ (- (* -2 (/ y x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x)) |
(* -1 (* x (- (/ y x) 1))) |
(+ 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))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))) |
(* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) |
(* y (+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) |
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))) |
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(+ x (* -1 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))))) |
(* y (+ 1 (/ y x))) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) |
(- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) |
(/ (- (* -2 (/ x y)) 2) y) |
(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y) |
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y) |
(* y (- (/ x y) 1)) |
(/ (+ (* -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) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (/ 1 x) (/ 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 (/ (- (* 2 (/ (pow x 2) y)) (* -2 x)) y)) 2) |
(- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* -2 x)) y)) 2) |
(* -1 (/ (+ 2 (* 2 (/ x y))) y)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) y)) |
(* -1 (* y (+ 1 (* -1 (/ x 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)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | y | @ | -inf | ((* x (* (/ 2 (- x y)) y)) (* (/ 2 (- x y)) y) (/ 2 (- x y)) (- x y) (+ y y) (* (* 2 (/ x (- x y))) y) (* 2 (/ x (- x y))) (* (/ x y) -2) (/ x y) (* (* 2 (/ x (- x y))) y) (* (+ (* y (/ y x)) y) 2) (+ (* y (/ y x)) y) (/ y x) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x)) |
| 7.0ms | x | @ | 0 | ((* x (* (/ 2 (- x y)) y)) (* (/ 2 (- x y)) y) (/ 2 (- x y)) (- x y) (+ y y) (* (* 2 (/ x (- x y))) y) (* 2 (/ x (- x y))) (* (/ x y) -2) (/ x y) (* (* 2 (/ x (- x y))) y) (* (+ (* y (/ y x)) y) 2) (+ (* y (/ y x)) y) (/ y x) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x)) |
| 4.0ms | x | @ | inf | ((* x (* (/ 2 (- x y)) y)) (* (/ 2 (- x y)) y) (/ 2 (- x y)) (- x y) (+ y y) (* (* 2 (/ x (- x y))) y) (* 2 (/ x (- x y))) (* (/ x y) -2) (/ x y) (* (* 2 (/ x (- x y))) y) (* (+ (* y (/ y x)) y) 2) (+ (* y (/ y x)) y) (/ y x) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x)) |
| 2.0ms | x | @ | -inf | ((* x (* (/ 2 (- x y)) y)) (* (/ 2 (- x y)) y) (/ 2 (- x y)) (- x y) (+ y y) (* (* 2 (/ x (- x y))) y) (* 2 (/ x (- x y))) (* (/ x y) -2) (/ x y) (* (* 2 (/ x (- x y))) y) (* (+ (* y (/ y x)) y) 2) (+ (* y (/ y x)) y) (/ y x) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x)) |
| 2.0ms | y | @ | inf | ((* x (* (/ 2 (- x y)) y)) (* (/ 2 (- x y)) y) (/ 2 (- x y)) (- x y) (+ y y) (* (* 2 (/ x (- x y))) y) (* 2 (/ x (- x y))) (* (/ x y) -2) (/ x y) (* (* 2 (/ x (- x y))) y) (* (+ (* y (/ y x)) y) 2) (+ (* y (/ y x)) y) (/ y x) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 307 | 1403 |
| 1 | 1038 | 1303 |
| 2 | 3735 | 1234 |
| 0 | 9337 | 1132 |
| 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 |
(- (* -2 (/ x y)) 2) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2) |
(/ -2 y) |
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))) |
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(* -1 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)))) |
(/ x y) |
(* 2 (/ (pow y 2) x)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(/ (pow y 2) x) |
(/ (+ (* x y) (pow y 2)) x) |
(/ y x) |
(* 2 (* x y)) |
(* 2 x) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(* 2 (/ y x)) |
(/ (+ (* 2 y) (* 2 (/ (pow y 2) x))) x) |
(/ (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) x) |
(/ (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) x) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ y x))) x) |
(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x) |
(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
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))))) |
y |
(+ y (/ (pow y 2) x)) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* -1 (/ (+ (* -2 y) (* -2 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* 2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) x)) |
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow y 4) x)) (* -2 (pow y 3))) x)) (* 2 (pow y 2))) x))) x)) |
(* -1 (/ (- (* -2 (/ y x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x)) |
(* -1 (* x (- (/ y x) 1))) |
(+ 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))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))) |
(* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) |
(* y (+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) |
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))) |
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(+ x (* -1 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))))) |
(* y (+ 1 (/ y x))) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) |
(- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) |
(/ (- (* -2 (/ x y)) 2) y) |
(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y) |
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y) |
(* y (- (/ x y) 1)) |
(/ (+ (* -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) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (/ 1 x) (/ 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 (/ (- (* 2 (/ (pow x 2) y)) (* -2 x)) y)) 2) |
(- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* -2 x)) y)) 2) |
(* -1 (/ (+ 2 (* 2 (/ x y))) y)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) y)) |
(* -1 (* y (+ 1 (* -1 (/ x 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)) |
| Outputs |
|---|
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* -2 (/ x y)) 2)) |
(*.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 |
#s(literal -2 binary64) |
(- (* -2 (/ x y)) 2) |
(-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2) |
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) y) x) #s(literal 2 binary64)) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2) |
(-.f64 (*.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)) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) y) |
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(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 (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(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)) |
(* -1 y) |
(neg.f64 y) |
(- 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) |
(/ x y) |
(/.f64 x y) |
(* 2 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 2 binary64)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (+.f64 x y)) x)) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (+ (* x y) (pow y 2)) x) |
(/.f64 (*.f64 y (+.f64 x y)) x) |
(/ y x) |
(/.f64 y x) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 y x) y 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) y y) x) #s(literal 2 binary64) #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)))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) y (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* 2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/ (+ (* 2 y) (* 2 (/ (pow y 2) x))) x) |
(*.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)) |
(/ (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) x) |
(/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) y) x) |
(/ (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) x) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) y (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* 2 (/ y x))) x) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) |
(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) x) |
(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x) |
(/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) y) x) #s(literal 2 binary64)) x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 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) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) y) x) #s(literal 2 binary64)) |
y |
(+ y (/ (pow y 2) x)) |
(fma.f64 (/.f64 y x) y y) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) y) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) y (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (/ (+ (* -2 y) (* -2 (/ (pow y 2) x))) x)) |
(*.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)) |
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* 2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) x)) |
(/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) y) x) |
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow y 4) x)) (* -2 (pow y 3))) x)) (* 2 (pow y 2))) x))) x)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) y (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -1 (/ (- (* -2 (/ y x)) 2) x)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal -2 binary64)) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x)) |
(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) y) (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x)) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(+ 2 (* -1 (/ (- (* -2 (/ (pow y 2) x)) (* 2 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) x))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) y) x) #s(literal 2 binary64)) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 y x) y 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) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) y) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) y) |
(* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)) |
(* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) y (/.f64 #s(literal 2 binary64) x)) y) |
(* y (+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y) |
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) |
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) y (/.f64 #s(literal 2 binary64) x)) |
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) |
(* y (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) y y) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) 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 x (/.f64 x y) x) (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) |
(- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) |
(fma.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) |
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x)) y) #s(literal 2 binary64)) |
(/ (- (* -2 (/ x y)) 2) y) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) y) |
(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y) |
(/.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal -2 binary64) #s(literal -2 binary64)) y) |
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x)) y) #s(literal 2 binary64)) y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (+ (* -2 x) (* -2 (/ (pow x 2) y))) y) |
(/.f64 (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) y) |
(/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) 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 x (/.f64 x y) x) (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) y) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y)) y) y) |
(* (pow y 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 y x) y (/.f64 (*.f64 y y) y)) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) 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 x (/.f64 x y) x) (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) |
(- (* -1 (/ (- (* 2 (/ (pow x 2) y)) (* -2 x)) y)) 2) |
(fma.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* -2 x)) y)) 2) |
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x)) y) #s(literal 2 binary64)) |
(* -1 (/ (+ 2 (* 2 (/ x y))) y)) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) y) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal -2 binary64) #s(literal -2 binary64)) y) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) y)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x)) y)) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) y) |
(* -1 (/ (+ (* 2 x) (* 2 (/ (pow x 2) y))) y)) |
(/.f64 (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) y) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y)) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) 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 x (/.f64 x y) x) (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 115 |
| 0 | 39 | 109 |
| 1 | 110 | 107 |
| 0 | 641 | 107 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y) |
(/.f64 #s(literal 2 binary64) (-.f64 x y)) |
(-.f64 x y) |
(+.f64 y y) |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 x y) #s(literal -2 binary64))) y) |
#s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 x y) #s(literal -2 binary64))) |
(*.f64 (/.f64 x y) #s(literal -2 binary64)) |
(/.f64 x y) |
#s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) |
(fma.f64 y (/.f64 y x) y) |
(/.f64 y x) |
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) |
(*.f64 (+.f64 x x) y) |
(+.f64 x x) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x)) |
(*.f64 (/.f64 (*.f64 y #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 (/.f64 y (-.f64 x y)) (*.f64 y #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 x (-.f64 x y)) y) #s(literal 2 binary64)) |
(*.f64 (*.f64 y x) (/.f64 #s(literal 2 binary64) (-.f64 x y))) |
(*.f64 (*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) y) |
(*.f64 (*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) x) |
(*.f64 (/.f64 x (-.f64 x y)) (*.f64 y #s(literal 2 binary64))) |
(*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 y (-.f64 x y))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (*.f64 y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) x) |
(*.f64 y (*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64))) |
(*.f64 y (/.f64 #s(literal 2 binary64) (-.f64 x y))) |
(*.f64 #s(literal 2 binary64) (*.f64 x (/.f64 y (-.f64 x y)))) |
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 x y))) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x (-.f64 x y)) y)) |
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64))) |
(*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 #s(literal -2 binary64) y) (neg.f64 (-.f64 x y))) |
(/.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 2 binary64) (neg.f64 x)) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 y #s(literal -2 binary64)) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (-.f64 x y)) |
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y))) (*.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y)))) (-.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y)) (-.f64 (*.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y))) (*.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y)))))) |
(/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 2 binary64))) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 0 binary64) (-.f64 x 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)) (-.f64 x y))) |
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 (-.f64 x y)) (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 x))) (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 (-.f64 x y)))) |
(/.f64 (fma.f64 (neg.f64 x) (-.f64 x y) (*.f64 (neg.f64 (-.f64 x y)) x)) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 x y))) |
(/.f64 (fma.f64 x (neg.f64 (-.f64 x y)) (*.f64 (-.f64 x y) (neg.f64 x))) (*.f64 (-.f64 x y) (neg.f64 (-.f64 x y)))) |
(/.f64 (fma.f64 x (-.f64 x y) (*.f64 (-.f64 x y) x)) (*.f64 (-.f64 x y) (-.f64 x y))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 x y))) |
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (-.f64 x y))) |
(/.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 y #s(literal 2 binary64)) (-.f64 x y)) |
(neg.f64 (/.f64 (neg.f64 (*.f64 y #s(literal 2 binary64))) (-.f64 x y))) |
(neg.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (neg.f64 (-.f64 x y)))) |
(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 (/.f64 y (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x) (/.f64 y (-.f64 x y))) |
(fma.f64 (/.f64 y (-.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 y (-.f64 x y))) |
(fma.f64 (/.f64 x (-.f64 x y)) y (*.f64 (/.f64 x (-.f64 x y)) y)) |
(fma.f64 y (/.f64 x (-.f64 x y)) (*.f64 (/.f64 x (-.f64 x y)) y)) |
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 y (-.f64 x y))) |
(+.f64 (*.f64 (/.f64 x (-.f64 x y)) y) (*.f64 (/.f64 x (-.f64 x y)) y)) |
(+.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x)) |
(*.f64 (/.f64 (*.f64 y #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 (/.f64 y (-.f64 x y)) (*.f64 y #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 x (-.f64 x y)) y) #s(literal 2 binary64)) |
(*.f64 (*.f64 y x) (/.f64 #s(literal 2 binary64) (-.f64 x y))) |
(*.f64 (*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) y) |
(*.f64 (*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) x) |
(*.f64 (/.f64 x (-.f64 x y)) (*.f64 y #s(literal 2 binary64))) |
(*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 y (-.f64 x y))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
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(/.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 (fma.f64 (neg.f64 x) (neg.f64 (-.f64 x y)) (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 x))) (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 (-.f64 x y)))) |
(/.f64 (fma.f64 (neg.f64 x) (-.f64 x y) (*.f64 (neg.f64 (-.f64 x y)) x)) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 x y))) |
(/.f64 (fma.f64 x (neg.f64 (-.f64 x y)) (*.f64 (-.f64 x y) (neg.f64 x))) (*.f64 (-.f64 x y) (neg.f64 (-.f64 x y)))) |
(/.f64 (fma.f64 x (-.f64 x y) (*.f64 (-.f64 x y) x)) (*.f64 (-.f64 x y) (-.f64 x y))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 x y))) |
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (-.f64 x y))) |
(/.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 y #s(literal 2 binary64)) (-.f64 x y)) |
(neg.f64 (/.f64 (neg.f64 (*.f64 y #s(literal 2 binary64))) (-.f64 x y))) |
(neg.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (neg.f64 (-.f64 x y)))) |
(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 (/.f64 y (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x) (/.f64 y (-.f64 x y))) |
(fma.f64 (/.f64 y (-.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 y (-.f64 x y))) |
(fma.f64 (/.f64 x (-.f64 x y)) y (*.f64 (/.f64 x (-.f64 x y)) y)) |
(fma.f64 y (/.f64 x (-.f64 x y)) (*.f64 (/.f64 x (-.f64 x y)) y)) |
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 y (-.f64 x y))) |
(+.f64 (*.f64 (/.f64 x (-.f64 x y)) y) (*.f64 (/.f64 x (-.f64 x y)) y)) |
(+.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) y) |
(*.f64 (*.f64 y #s(literal 2 binary64)) x) |
(*.f64 y (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 y x)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 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 (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 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #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))) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 #s(literal 0 binary64) #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))) |
(fma.f64 y x (*.f64 y x)) |
(fma.f64 x y (*.f64 y x)) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.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 (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 y x) (*.f64 y x)) |
(+.f64 y y) |
(+.f64 x x) |
(*.f64 (*.f64 y #s(literal 2 binary64)) y) |
(*.f64 (*.f64 y #s(literal 2 binary64)) x) |
(*.f64 y (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 y x)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 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 (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 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #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))) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 #s(literal 0 binary64) #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))) |
(fma.f64 y x (*.f64 y x)) |
(fma.f64 x y (*.f64 y x)) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.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 (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 y x) (*.f64 y x)) |
(+.f64 y y) |
(+.f64 x x) |
Compiled 4 433 to 708 computations (84% saved)
13 alts after pruning (5 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 237 | 5 | 242 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 237 | 13 | 250 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 77.6% | (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) |
| ▶ | 38.8% | (/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 y))) |
| ✓ | 51.5% | (+.f64 y y) |
| ▶ | 3.3% | (+.f64 x x) |
| ✓ | 88.8% | (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) |
| ✓ | 38.0% | (*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 x y) #s(literal -2 binary64))) y) |
| ▶ | 38.0% | (*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))) y) |
| ✓ | 87.4% | (*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) |
| ▶ | 39.0% | (*.f64 x (*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y)) |
| ▶ | 39.1% | (*.f64 x #s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64)))) |
| ✓ | 48.8% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) |
| ✓ | 49.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
| ✓ | 51.0% | #s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
Compiled 210 to 154 computations (26.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- x y) (neg.f64 y)) | |
| cost-diff | 0 | (+.f64 x x) | |
| 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 | 0 | (/.f64 #s(literal -2 binary64) y) | |
| cost-diff | 0 | (*.f64 x (/.f64 #s(literal -2 binary64) y)) | |
| cost-diff | 0 | #s(approx (* 2 (/ x (- x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))) | |
| cost-diff | 0 | (*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))) y) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y) | |
| cost-diff | 0 | (*.f64 x (*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y)) | |
| cost-diff | 0 | (+.f64 x x) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (*.f64 (/.f64 y x) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 151 |
| 0 | 39 | 151 |
| 1 | 63 | 151 |
| 2 | 92 | 151 |
| 3 | 130 | 151 |
| 4 | 171 | 151 |
| 5 | 224 | 151 |
| 6 | 392 | 151 |
| 7 | 720 | 151 |
| 8 | 880 | 151 |
| 9 | 985 | 151 |
| 10 | 1015 | 151 |
| 0 | 1015 | 151 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64)))) |
x |
#s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64))) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/.f64 y x) |
y |
#s(literal 2 binary64) |
(+.f64 x x) |
x |
(*.f64 x (*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y)) |
x |
(*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y) |
#s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
y |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))) y) |
#s(approx (* 2 (/ x (- x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))) |
(*.f64 x (/.f64 #s(literal -2 binary64) y)) |
x |
(/.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
y |
(/.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 |
|---|
(*.f64 x #s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64))) x) |
x |
#s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64))) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/.f64 y x) |
y |
#s(literal 2 binary64) |
(+.f64 x x) |
(*.f64 #s(literal 2 binary64) x) |
x |
(*.f64 x (*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y)) |
(*.f64 (*.f64 y x) #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x))) |
x |
(*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y) |
#s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
y |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))) y) |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 #s(literal -2 binary64) y) x)) y) |
#s(approx (* 2 (/ x (- x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))) |
#s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 #s(literal -2 binary64) y) x)) |
(*.f64 x (/.f64 #s(literal -2 binary64) y)) |
(*.f64 (/.f64 #s(literal -2 binary64) y) x) |
x |
(/.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
y |
(/.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 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 (+.f64 x x) y) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 14.328832399772498 | (/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 y))) | |
| accuracy | 32.478602289082396 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 0.0 | (/.f64 #s(literal -2 binary64) y) | |
| accuracy | 0.1796875 | (*.f64 x (/.f64 #s(literal -2 binary64) y)) | |
| accuracy | 7.161176772399296 | (*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))) y) | |
| accuracy | 32.601408500632125 | #s(approx (* 2 (/ x (- x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))) | |
| accuracy | 0.0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.1796875 | (*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y) | |
| accuracy | 7.924001548865143 | (*.f64 x (*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y)) | |
| accuracy | 31.004702443256736 | #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) | |
| accuracy | 0.0 | (+.f64 x x) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.0 | (*.f64 (/.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 7.924001548865143 | (*.f64 x #s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64)))) | |
| accuracy | 31.11061391051651 | #s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64))) |
| 60.0ms | 256× | 0 | valid |
Compiled 111 to 22 computations (80.2% saved)
ival-div: 30.0ms (66.6% of total)ival-mult: 10.0ms (22.2% of total)ival-sub: 2.0ms (4.4% of total)ival-add: 1.0ms (2.2% of total)ival-neg: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x #s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64)))) |
#s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64))) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/.f64 y x) |
(+.f64 x x) |
(*.f64 x (*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y)) |
(*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y) |
#s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))) y) |
#s(approx (* 2 (/ x (- x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))) |
(*.f64 x (/.f64 #s(literal -2 binary64) y)) |
(/.f64 #s(literal -2 binary64) y) |
(/.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 |
(- (* -2 (/ x y)) 2) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2) |
(* 2 (/ y x)) |
(/ y x) |
(* 2 x) |
(/ -2 y) |
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))) |
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(/ 2 x) |
(* -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 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)))))) |
(/ (+ (* 2 y) (* 2 (/ (pow y 2) x))) x) |
(/ (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) x) |
(/ (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) x) |
(/ (+ 2 (* 2 (/ y x))) x) |
(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x) |
(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x) |
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 |
(* 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 (/ (+ (* -2 y) (* -2 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* 2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) x)) |
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow y 4) x)) (* -2 (pow y 3))) x)) (* 2 (pow y 2))) x))) x)) |
(* -1 (/ (- (* -2 (/ y x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x)) |
(+ 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)))))) |
(* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))) |
(* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) |
(* y (+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) |
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))) |
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(+ 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)))))) |
(- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) |
(- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) |
(/ (- (* -2 (/ x y)) 2) y) |
(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y) |
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 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 (/ (pow x 2) y)) (* -2 x)) y)) 2) |
(- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* -2 x)) y)) 2) |
(* -1 (/ (+ 2 (* 2 (/ x y))) y)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) 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 | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((* x (* (/ 2 (- x y)) y)) (* (/ 2 (- x y)) y) (* (/ y x) 2) (/ y x) (+ x x) (* x (* (/ 2 (- x y)) y)) (* (/ 2 (- x y)) y) (/ 2 (- x y)) (/ 2 x) (* (* 2 (/ x (- x y))) y) (* 2 (/ x (- x y))) (* x (/ -2 y)) (/ -2 y) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (- x y) (neg y)) |
| 2.0ms | y | @ | -inf | ((* x (* (/ 2 (- x y)) y)) (* (/ 2 (- x y)) y) (* (/ y x) 2) (/ y x) (+ x x) (* x (* (/ 2 (- x y)) y)) (* (/ 2 (- x y)) y) (/ 2 (- x y)) (/ 2 x) (* (* 2 (/ x (- x y))) y) (* 2 (/ x (- x y))) (* x (/ -2 y)) (/ -2 y) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (- x y) (neg y)) |
| 2.0ms | y | @ | inf | ((* x (* (/ 2 (- x y)) y)) (* (/ 2 (- x y)) y) (* (/ y x) 2) (/ y x) (+ x x) (* x (* (/ 2 (- x y)) y)) (* (/ 2 (- x y)) y) (/ 2 (- x y)) (/ 2 x) (* (* 2 (/ x (- x y))) y) (* 2 (/ x (- x y))) (* x (/ -2 y)) (/ -2 y) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (- x y) (neg y)) |
| 2.0ms | x | @ | 0 | ((* x (* (/ 2 (- x y)) y)) (* (/ 2 (- x y)) y) (* (/ y x) 2) (/ y x) (+ x x) (* x (* (/ 2 (- x y)) y)) (* (/ 2 (- x y)) y) (/ 2 (- x y)) (/ 2 x) (* (* 2 (/ x (- x y))) y) (* 2 (/ x (- x y))) (* x (/ -2 y)) (/ -2 y) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (- x y) (neg y)) |
| 1.0ms | x | @ | inf | ((* x (* (/ 2 (- x y)) y)) (* (/ 2 (- x y)) y) (* (/ y x) 2) (/ y x) (+ x x) (* x (* (/ 2 (- x y)) y)) (* (/ 2 (- x y)) y) (/ 2 (- x y)) (/ 2 x) (* (* 2 (/ x (- x y))) y) (* 2 (/ x (- x y))) (* x (/ -2 y)) (/ -2 y) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (- x y) (neg y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 296 | 1331 |
| 1 | 993 | 1235 |
| 2 | 3571 | 1166 |
| 0 | 8995 | 1067 |
| 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 |
(- (* -2 (/ x y)) 2) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2) |
(* 2 (/ y x)) |
(/ y x) |
(* 2 x) |
(/ -2 y) |
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))) |
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(/ 2 x) |
(* -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 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)))))) |
(/ (+ (* 2 y) (* 2 (/ (pow y 2) x))) x) |
(/ (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) x) |
(/ (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) x) |
(/ (+ 2 (* 2 (/ y x))) x) |
(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x) |
(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x) |
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 |
(* 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 (/ (+ (* -2 y) (* -2 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* 2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) x)) |
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow y 4) x)) (* -2 (pow y 3))) x)) (* 2 (pow y 2))) x))) x)) |
(* -1 (/ (- (* -2 (/ y x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x)) |
(+ 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)))))) |
(* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))) |
(* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) |
(* y (+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) |
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))) |
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(+ 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)))))) |
(- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) |
(- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) |
(/ (- (* -2 (/ x y)) 2) y) |
(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y) |
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 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 (/ (pow x 2) y)) (* -2 x)) y)) 2) |
(- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* -2 x)) y)) 2) |
(* -1 (/ (+ 2 (* 2 (/ x y))) y)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) 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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 |
#s(literal -2 binary64) |
(- (* -2 (/ x y)) 2) |
(-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2) |
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) y) x) #s(literal 2 binary64)) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2) |
(-.f64 (*.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)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/ y x) |
(/.f64 y x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) y) |
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(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 (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(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)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(* -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 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 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)))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) y (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/ (+ (* 2 y) (* 2 (/ (pow y 2) x))) x) |
(*.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y) |
(/ (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) x) |
(/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) y) x) |
(/ (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) x) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) y (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) |
(/ (+ 2 (* 2 (/ y x))) x) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) |
(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) x) |
(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x) |
(/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) y) x) #s(literal 2 binary64)) 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))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) y) x) #s(literal 2 binary64)) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y 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)) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) y (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (/ (+ (* -2 y) (* -2 (/ (pow y 2) x))) x)) |
(*.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y) |
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* 2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) x)) |
(/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) y) x) |
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow y 4) x)) (* -2 (pow y 3))) x)) (* 2 (pow y 2))) x))) x)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) y (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -1 (/ (- (* -2 (/ y x)) 2) x)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal -2 binary64)) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x)) |
(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) y) (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x)) |
(+ 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))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) y) x) #s(literal 2 binary64)) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(* 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 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) y) |
(* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y) |
(* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) y (/.f64 #s(literal 2 binary64) x)) y) |
(* y (+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y) |
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) |
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) y (/.f64 #s(literal 2 binary64) x)) |
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) 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 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) 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 x (/.f64 x y) x) (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) |
(- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) |
(fma.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) |
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x)) y) #s(literal 2 binary64)) |
(/ (- (* -2 (/ x y)) 2) y) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) y) |
(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y) |
(/.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal -2 binary64) #s(literal -2 binary64)) y) |
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x)) y) #s(literal 2 binary64)) y) |
(/ (+ (* -2 x) (* -2 (/ (pow x 2) y))) y) |
(*.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal -2 binary64)) |
(/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) 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 x (/.f64 x y) x) (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) 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 x (/.f64 x y) x) (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) |
(- (* -1 (/ (- (* 2 (/ (pow x 2) y)) (* -2 x)) y)) 2) |
(fma.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* -2 x)) y)) 2) |
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x)) y) #s(literal 2 binary64)) |
(* -1 (/ (+ 2 (* 2 (/ x y))) y)) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) y) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal -2 binary64) #s(literal -2 binary64)) y) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) y)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x)) y)) y) |
(* -1 (/ (+ (* 2 x) (* 2 (/ (pow x 2) y))) y)) |
(*.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal -2 binary64)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y)) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) 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 x (/.f64 x y) x) (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 136 |
| 0 | 39 | 136 |
| 1 | 94 | 136 |
| 0 | 406 | 136 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64)))) |
#s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64))) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/.f64 y x) |
(+.f64 x x) |
(*.f64 x (*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y)) |
(*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y) |
#s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))) y) |
#s(approx (* 2 (/ x (- x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))) |
(*.f64 x (/.f64 #s(literal -2 binary64) y)) |
(/.f64 #s(literal -2 binary64) y) |
(/.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 |
|---|
(*.f64 #s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64))) x) |
(*.f64 x #s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64)))) |
#s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64))) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(*.f64 y (/.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 y #s(literal 2 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 y #s(literal 2 binary64)) x) |
(+.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 y x) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
(neg.f64 (/.f64 y (neg.f64 x))) |
(*.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 (*.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 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) x) y) |
(*.f64 (*.f64 y x) #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x))) |
(*.f64 (*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y) x) |
(*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) (*.f64 y x)) |
(*.f64 y (*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) x)) |
(*.f64 x (*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y)) |
(*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y) |
(*.f64 y #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal -2 binary64) (neg.f64 x)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 2 binary64) x) |
(neg.f64 (/.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 #s(literal -2 binary64) y) x)) y) |
(*.f64 y #s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 #s(literal -2 binary64) y) x))) |
#s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 #s(literal -2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal -2 binary64) y) x) |
(*.f64 x (/.f64 #s(literal -2 binary64) y)) |
(/.f64 (neg.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) (neg.f64 y)) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal -2 binary64) y) |
(/.f64 #s(literal 2 binary64) (neg.f64 y)) |
(neg.f64 (/.f64 #s(literal 2 binary64) y)) |
(*.f64 (/.f64 y #s(approx (- x y) (neg.f64 y))) (*.f64 #s(literal 2 binary64) x)) |
(*.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 #s(literal 2 binary64) (*.f64 x (/.f64 y #s(approx (- x y) (neg.f64 y))))) |
(/.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 (neg.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x))) (neg.f64 (neg.f64 #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 (*.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 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x)) (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 y) (*.f64 #s(literal 2 binary64) x)) #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 #s(literal 2 binary64) x) y) |
(*.f64 y (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) (*.f64 y x)) |
(/.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)) |
(neg.f64 y) |
Compiled 2 552 to 438 computations (82.8% saved)
13 alts after pruning (0 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 144 | 0 | 144 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 8 | 8 |
| Total | 144 | 13 | 157 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 77.6% | (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) |
| ✓ | 38.8% | (/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 y))) |
| ✓ | 51.5% | (+.f64 y y) |
| ✓ | 3.3% | (+.f64 x x) |
| ✓ | 88.8% | (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) |
| ✓ | 38.0% | (*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 x y) #s(literal -2 binary64))) y) |
| ✓ | 38.0% | (*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))) y) |
| ✓ | 87.4% | (*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) |
| ✓ | 39.0% | (*.f64 x (*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y)) |
| ✓ | 39.1% | (*.f64 x #s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64)))) |
| ✓ | 48.8% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) |
| ✓ | 49.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
| ✓ | 51.0% | #s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
Compiled 367 to 175 computations (52.3% saved)
| Inputs |
|---|
(+.f64 x x) |
(+.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 x #s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(*.f64 x (*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y)) |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))) y) |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 x y) #s(literal -2 binary64))) y) |
(/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 y))) |
#s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) |
(*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) |
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) |
(*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) |
3 calls:
| 5.0ms | y |
| 5.0ms | x |
| 5.0ms | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 5 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 99.9% | 3 | x |
| 99.9% | 3 | y |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
(+.f64 x x) |
(+.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 x #s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(*.f64 x (*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y)) |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))) y) |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 x y) #s(literal -2 binary64))) y) |
(/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 y))) |
#s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) |
(*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) |
| Outputs |
|---|
(*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) |
#s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
(*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) |
2 calls:
| 30.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 3 | y |
| 94.8% | 3 | x |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
(+.f64 x x) |
(+.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 x #s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(*.f64 x (*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y)) |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))) y) |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 x y) #s(literal -2 binary64))) y) |
(/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 y))) |
#s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
(/.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 (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) |
(+.f64 y y) |
3 calls:
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.1% | 5 | x |
| 89.7% | 5 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 91.1% | 6 | y |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
(+.f64 x x) |
(+.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 x #s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(*.f64 x (*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y)) |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))) y) |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 x y) #s(literal -2 binary64))) y) |
(/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 y))) |
#s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
#s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
3 calls:
| 12.0ms | y |
| 4.0ms | x |
| 4.0ms | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.3% | 3 | x |
| 77.3% | 3 | y |
| 62.2% | 6 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
(+.f64 x x) |
(+.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 x #s(approx (* (/ 2 (- x y)) y) (*.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(*.f64 x (*.f64 #s(approx (/ 2 (- x y)) (/.f64 #s(literal 2 binary64) x)) y)) |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))) y) |
(*.f64 #s(approx (* 2 (/ x (- x y))) (*.f64 (/.f64 x y) #s(literal -2 binary64))) y) |
(/.f64 (*.f64 (+.f64 x x) y) #s(approx (- x y) (neg.f64 y))) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
(+.f64 y y) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.2% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(+.f64 x x) |
(+.f64 y y) |
| Outputs |
|---|
(+.f64 y y) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.5% | 1 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 51.5% | 1 | x |
| 51.5% | 1 | y |
Compiled 11 to 11 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(+.f64 x x) |
| Outputs |
|---|
(+.f64 x x) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.3% | 1 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 3.3% | 1 | x |
| 3.3% | 1 | y |
Compiled 11 to 11 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 7.382944326705222e-68 | 2.4202919303915164e-49 |
| 36.0ms | -4.408173877985937e-15 | -4.0222388677863206e-16 |
| 13.0ms | 256× | 0 | valid |
Compiled 300 to 268 computations (10.7% saved)
ival-mult: 3.0ms (42.5% of total)ival-sub: 2.0ms (28.3% of total)ival-div: 2.0ms (28.3% 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 |
|---|---|---|
| 6.0ms | 1.1229644875361941e-131 | 2.176811118421924e-131 |
| 4.0ms | -1.0624229702490124e-216 | -8.787208866259534e-217 |
| 5.0ms | 112× | 0 | valid |
Compiled 201 to 159 computations (20.9% saved)
ival-sub: 1.0ms (33.7% of total)ival-div: 1.0ms (33.7% of total)ival-mult: 1.0ms (33.7% 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 | 6.757750176051818e+120 | 1.8501228205128204e+121 |
| 0.0ms | -0.0 | 2.2400233357897687e-307 |
| 0.0ms | -9.51821605755842e-304 | -2.224051523263875e-307 |
| 0.0ms | -inf | -1.849956798780748e+141 |
Compiled 12 to 12 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.891039262332787e-39 | 3.751666794934425e-34 |
| 11.0ms | -1.021082257894225e-6 | -2.9557285301974496e-9 |
| 13.0ms | 272× | 0 | valid |
Compiled 539 to 420 computations (22.1% saved)
ival-mult: 4.0ms (54.7% of total)ival-div: 2.0ms (27.4% of total)ival-sub: 1.0ms (13.7% 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 |
|---|---|---|
| 39.0ms | 3.4845572707617657e-25 | 2.4507243234630756e-14 |
| 1.0ms | -1.021082257894225e-6 | -2.9557285301974496e-9 |
| 33.0ms | 160× | 0 | valid |
Compiled 300 to 282 computations (6% saved)
ival-mult: 2.0ms (44.8% of total)ival-sub: 1.0ms (22.4% of total)ival-div: 1.0ms (22.4% 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 | 65 | 234 |
| 1 | 94 | 234 |
| 2 | 128 | 234 |
| 3 | 156 | 234 |
| 4 | 191 | 234 |
| 5 | 263 | 234 |
| 6 | 536 | 234 |
| 7 | 2402 | 234 |
| 8 | 3709 | 234 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal -5324132520958563/5070602400912917605986812821504 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) (if (<=.f64 x #s(literal 2211558125039701/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y))) |
(if (<=.f64 y #s(literal -1552518092300709/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) (if (<=.f64 y #s(literal 8391260103249387/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528 binary64)) #s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)))) |
(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 -6176826577981891/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 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 (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 10000000000000000373409337471459889719393275754491820381027730410378005080671497101378613371421126415052399029342192009216 binary64)) (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) (+.f64 y y))))) |
(if (<=.f64 y #s(literal -944473296573929/9444732965739290427392 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 1940874174375439/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)))) |
(if (<=.f64 y #s(literal -944473296573929/9444732965739290427392 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 7463926734143815/162259276829213363391578010288128 binary64)) (+.f64 y y) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)))) |
(+.f64 y y) |
(+.f64 x x) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -5324132520958563/5070602400912917605986812821504 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) (if (<=.f64 x #s(literal 2211558125039701/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y))) |
(if (or (<=.f64 x #s(literal -5324132520958563/5070602400912917605986812821504 binary64)) (not (<=.f64 x #s(literal 2211558125039701/52656145834278593348959013841835216159447547700274555627155488768 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) (*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y))) |
(if (<=.f64 y #s(literal -1552518092300709/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) (if (<=.f64 y #s(literal 8391260103249387/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528 binary64)) #s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)))) |
(if (or (<=.f64 y #s(literal -1552518092300709/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 binary64)) (not (<=.f64 y #s(literal 8391260103249387/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528 binary64)))) (*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) #s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)))) |
(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 -6176826577981891/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 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 (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 10000000000000000373409337471459889719393275754491820381027730410378005080671497101378613371421126415052399029342192009216 binary64)) (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) (+.f64 y y))))) |
(if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -inf.0 binary64)) #s(approx (* (* 2 (/ x (- x y))) y) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -6176826577981891/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 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 (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 10000000000000000373409337471459889719393275754491820381027730410378005080671497101378613371421126415052399029342192009216 binary64)) (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)) (+.f64 y y))))) |
(if (<=.f64 y #s(literal -944473296573929/9444732965739290427392 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 1940874174375439/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)))) |
(if (or (<=.f64 y #s(literal -944473296573929/9444732965739290427392 binary64)) (not (<=.f64 y #s(literal 1940874174375439/23384026197294446691258957323460528314494920687616 binary64)))) #s(approx (* (* 2 (/ x (- x y))) y) (*.f64 #s(literal -2 binary64) x)) #s(approx (* (* 2 (/ x (- x y))) y) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)))) |
(if (<=.f64 y #s(literal -944473296573929/9444732965739290427392 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 7463926734143815/162259276829213363391578010288128 binary64)) (+.f64 y y) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)))) |
(if (or (<=.f64 y #s(literal -944473296573929/9444732965739290427392 binary64)) (not (<=.f64 y #s(literal 7463926734143815/162259276829213363391578010288128 binary64)))) #s(approx (* (* 2 (/ x (- x y))) y) (*.f64 #s(literal -2 binary64) x)) (+.f64 y y)) |
(+.f64 y y) |
(+.f64 x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 126 |
| 0 | 38 | 128 |
| 1 | 109 | 128 |
| 2 | 600 | 92 |
| 3 | 6979 | 92 |
| 0 | 8009 | 92 |
| 0 | 24 | 115 |
| 0 | 39 | 109 |
| 1 | 110 | 107 |
| 0 | 641 | 107 |
| 0 | 136 | 361 |
| 1 | 445 | 341 |
| 2 | 1640 | 316 |
| 0 | 8645 | 289 |
| 0 | 292 | 1080 |
| 1 | 991 | 1002 |
| 2 | 3468 | 963 |
| 0 | 8530 | 899 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 35 | 20 |
| 2 | 181 | 20 |
| 3 | 1557 | 20 |
| 0 | 9036 | 20 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 543 to 259 computations (52.3% saved)
Compiled 556 to 180 computations (67.6% saved)
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