
Time bar (total: 4.6s)
| 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 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 6 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 7 |
| 82% | 82% | 18% | 0.1% | 0% | 0% | 0% | 8 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 9 |
| 90.8% | 90.7% | 9.2% | 0.1% | 0% | 0% | 0% | 10 |
| 93.8% | 93.8% | 6.1% | 0.1% | 0% | 0% | 0% | 11 |
| 95.4% | 95.3% | 4.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 7 to 6 computations (14.3% saved)
| 508.0ms | 8 256× | 0 | valid |
ival-add: 118.0ms (51.8% of total)ival-div: 100.0ms (43.9% of total)ival-true: 6.0ms (2.6% of total)ival-assert: 4.0ms (1.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 x (+.f64 y x)) |
| 0 | 0 | - | 0 | - | (+.f64 y x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 18.0ms | 512× | 0 | valid |
Compiled 39 to 20 computations (48.7% saved)
ival-div: 4.0ms (54% of total)ival-add: 3.0ms (40.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 31 |
| 1 | 35 | 25 |
| 2 | 75 | 25 |
| 3 | 156 | 25 |
| 4 | 355 | 25 |
| 5 | 553 | 25 |
| 6 | 728 | 25 |
| 7 | 780 | 25 |
| 8 | 831 | 25 |
| 9 | 867 | 25 |
| 0 | 4 | 5 |
| 0 | 6 | 5 |
| 1 | 7 | 5 |
| 0 | 7 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 y x)) |
| Outputs |
|---|
(/.f64 x (+.f64 y x)) |
Compiled 5 to 4 computations (20% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 x (+.f64 y x)) |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 x (+.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 0 | 6 | 10 |
| 1 | 7 | 10 |
| 0 | 7 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
| Outputs |
|---|
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.01953125 | (/.f64 x (+.f64 y x)) |
| 9.0ms | 256× | 0 | valid |
Compiled 22 to 10 computations (54.5% saved)
ival-div: 2.0ms (55.8% of total)ival-add: 1.0ms (27.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
| Outputs |
|---|
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ 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))) |
y |
(+ x y) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (+ 1 (/ x y))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ x (+ y x)) (+ y x)) |
| 1.0ms | y | @ | inf | ((/ x (+ y x)) (+ y x)) |
| 0.0ms | x | @ | -inf | ((/ x (+ y x)) (+ y x)) |
| 0.0ms | x | @ | 0 | ((/ x (+ y x)) (+ y x)) |
| 0.0ms | y | @ | -inf | ((/ x (+ y x)) (+ y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 304 |
| 1 | 400 | 280 |
| 2 | 1230 | 250 |
| 3 | 5594 | 249 |
| 0 | 8199 | 237 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ 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))) |
y |
(+ x y) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (+ 1 (/ x y))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) x) |
y |
(+ x y) |
(+.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) y #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 0 | 6 | 8 |
| 1 | 28 | 8 |
| 2 | 204 | 8 |
| 3 | 2173 | 8 |
| 0 | 10568 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 (/.f64 x (-.f64 y x)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (/.f64 x (-.f64 y x)) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 x (-.f64 y x)) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (/.f64 x (-.f64 y x)) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) (/.f64 x (-.f64 y x))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) (fma.f64 (-.f64 y x) x (*.f64 y y))) #s(literal -1 binary64)) (/.f64 x (-.f64 y x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (-.f64 y x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 y x) x (*.f64 y y))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (-.f64 y x)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x)) |
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) x (*.f64 y y))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 y x) x)) |
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 x (pow.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) x)) |
(*.f64 (/.f64 x (-.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 y x))) |
(*.f64 (-.f64 y x) (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) (*.f64 (-.f64 y x) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y x))) |
(*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(*.f64 x (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log1p.f64 (/.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (-.f64 y x) x) (/.f64 (-.f64 y x) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (-.f64 y x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (-.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) x) (-.f64 (*.f64 (-.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 x (pow.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) x (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (-.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y x) x) (-.f64 (*.f64 (-.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (/.f64 x #s(literal -1 binary64))) (-.f64 y x)) |
(/.f64 (neg.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (/.f64 x (-.f64 y x))) (*.f64 (-.f64 y x) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 y x)) (*.f64 (-.f64 y x) (/.f64 x #s(literal -1 binary64)))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (-.f64 y x) x (*.f64 y y))) (*.f64 (-.f64 y x) (*.f64 (/.f64 x (pow.f64 (-.f64 y 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 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
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(+.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))))) |
(+.f64 (/.f64 (*.f64 y (-.f64 y x)) (-.f64 y x)) (/.f64 (*.f64 (-.f64 y x) x) (-.f64 y x))) |
(+.f64 (/.f64 (*.f64 (-.f64 y x) y) (-.f64 y x)) (/.f64 (*.f64 (-.f64 y x) x) (-.f64 y x))) |
(+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) (fma.f64 (-.f64 y x) x (*.f64 y y))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))) (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) (fma.f64 (-.f64 y x) x (*.f64 y y))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y)))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y)))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))) |
(+.f64 (/.f64 (*.f64 y (fma.f64 (-.f64 y x) x (*.f64 y y))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) x) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) y) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) x) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) x) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))) (/.f64 (*.f64 y (fma.f64 (-.f64 y x) x (*.f64 y y))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) x) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) y) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))) |
(+.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 x #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 3 binary64)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y x)))) |
(+.f64 (/.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) x (*.f64 y y)))) (/.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) x (*.f64 y y))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal -1 binary64)) (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 y))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (-.f64 x (neg.f64 y)))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 y))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x (neg.f64 y)))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 y))) (/.f64 (*.f64 y (neg.f64 y)) (-.f64 x (neg.f64 y)))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 y))) (/.f64 (neg.f64 (*.f64 y y)) (-.f64 x (neg.f64 y)))) |
(+.f64 (/.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) x (*.f64 y y))))) (/.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) x (*.f64 y y)))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (-.f64 y x)))) (*.f64 x (/.f64 x (-.f64 y x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) #s(literal -1 binary64))) |
(+.f64 (*.f64 y #s(literal -1 binary64)) x) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))))) |
(+.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) #s(literal 1 binary64))) |
(+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) #s(literal 1 binary64))) |
(+.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x #s(literal -1 binary64))) |
(+.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64))) |
(+.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) #s(literal 1 binary64))) |
(+.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 1 binary64)) (/.f64 (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 1 binary64)) (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 1 binary64))) |
(+.f64 (neg.f64 (neg.f64 y)) x) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 y x) x (*.f64 y y)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y)))) |
(+.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 y (/.f64 y (-.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x))))) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))) |
(+.f64 (neg.f64 y) x) |
(+.f64 #s(literal 0 binary64) (-.f64 y x)) |
(+.f64 y x) |
(+.f64 x (*.f64 y #s(literal -1 binary64))) |
(+.f64 x (neg.f64 (neg.f64 y))) |
(+.f64 x (neg.f64 y)) |
(+.f64 x y) |
Compiled 13 518 to 1 551 computations (88.5% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 512 | 5 | 517 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 512 | 6 | 518 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.9% | (/.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)) |
| ▶ | 100.0% | (/.f64 x (-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))) |
| ✓ | 100.0% | (/.f64 x (+.f64 y x)) |
| ▶ | 51.6% | #s(approx (/ x (+ y x)) (/.f64 x y)) |
| ▶ | 51.3% | #s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) |
| ▶ | 49.3% | #s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
Compiled 117 to 76 computations (35% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)) | |
| cost-diff | 1472 | (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 x y)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) | |
| cost-diff | 0 | #s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ x (+ y x)) (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ x (+ y x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 y (-.f64 y x)) | |
| cost-diff | 0 | (*.f64 y (/.f64 y (-.f64 y x))) | |
| cost-diff | 384 | (/.f64 x (-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))) | |
| cost-diff | 896 | (-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 143 |
| 0 | 37 | 137 |
| 1 | 66 | 137 |
| 2 | 174 | 131 |
| 3 | 572 | 129 |
| 4 | 2029 | 129 |
| 5 | 5321 | 129 |
| 6 | 6771 | 129 |
| 7 | 7379 | 129 |
| 0 | 8002 | 129 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))) |
x |
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))) |
(*.f64 y (/.f64 y (-.f64 y x))) |
y |
(/.f64 y (-.f64 y x)) |
(-.f64 y x) |
(*.f64 x (/.f64 x (-.f64 y x))) |
(/.f64 x (-.f64 y x)) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 x y) |
x |
y |
(/.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)) |
x |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) |
(sqrt.f64 x) |
y |
| Outputs |
|---|
(/.f64 x (-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x)) |
x |
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 x y)) |
(*.f64 y (/.f64 y (-.f64 y x))) |
(*.f64 (/.f64 y (-.f64 y x)) y) |
y |
(/.f64 y (-.f64 y x)) |
(-.f64 y x) |
(*.f64 x (/.f64 x (-.f64 y x))) |
(*.f64 (/.f64 x (-.f64 y x)) x) |
(/.f64 x (-.f64 y x)) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 x y) |
x |
y |
(/.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)) |
(/.f64 x (+.f64 y x)) |
x |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) |
(+.f64 y x) |
(sqrt.f64 x) |
y |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.015625 | (/.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)) | |
| accuracy | 0.12890625 | (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (/.f64 x y)) | |
| accuracy | 0.0390625 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) | |
| accuracy | 0.962879846851299 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) | |
| accuracy | 16.89610460608891 | #s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 16.877352368011948 | #s(approx (/ x (+ y x)) (/.f64 x y)) | |
| accuracy | 16.664855658535224 | #s(approx (/ x (+ y x)) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (/.f64 x (-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))) | |
| accuracy | 0.01953125 | (/.f64 y (-.f64 y x)) | |
| accuracy | 0.01953125 | (*.f64 y (/.f64 y (-.f64 y x))) | |
| accuracy | 0.0390625 | (*.f64 x (/.f64 x (-.f64 y x))) |
| 24.0ms | 136× | 0 | valid |
| 22.0ms | 120× | 0 | invalid |
Compiled 274 to 44 computations (83.9% saved)
ival-div: 11.0ms (38.7% of total)ival-mult: 9.0ms (31.7% of total)ival-sub: 4.0ms (14.1% of total)ival-add: 2.0ms (7% of total)ival-sqrt: 2.0ms (7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))) |
(/.f64 x (-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))) |
(*.f64 y (/.f64 y (-.f64 y x))) |
(/.f64 y (-.f64 y x)) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) |
(/.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)) |
(sqrt.f64 x) |
(*.f64 x (/.f64 x (-.f64 y x))) |
| Outputs |
|---|
y |
(+ x y) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ 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))) |
(+ y (* x (+ 1 (/ x y)))) |
(+ y (* x (+ 1 (* x (+ (/ 1 y) (/ x (pow y 2))))))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (* x (+ (/ 1 y) (/ x (pow y 2))))) |
(+ 1 (* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)))) |
(/ 1 y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(+ 1 (* -1 (/ x y))) |
(sqrt x) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 y) (/ x (pow y 2)))) |
(* (pow x 2) (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))) |
(* (pow x 2) (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -2 (pow y 2)) (pow y 2)))) (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2))))) (pow x 3)))) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* -1 (/ (pow y 2) x)) |
(/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x) |
(/ (- (+ (* -1 (/ (pow y 4) (pow x 2))) (* -1 (pow y 2))) (/ (pow y 3) x)) x) |
(/ (- (+ (* -1 (/ (pow y 5) (pow x 3))) (* -1 (pow y 2))) (+ (/ (pow y 3) x) (/ (pow y 4) (pow x 2)))) x) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow x 2)))) (/ (pow y 2) x)) x) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow x 3)))) (+ (/ (pow y 2) x) (/ (pow y 3) (pow x 2)))) x) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(* -1 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(* -1 (/ x (pow y 2))) |
(* x (- (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(* -1 (/ x y)) |
(* x (- (/ 1 x) (/ 1 y))) |
(* -1 x) |
(* x (- (* -1 (/ y x)) 1)) |
(* x (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x)))) |
(* x (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow y 2) x))) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (/ (* y (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (* -1 y)) x))) |
(* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow y 4) x)) (pow y 3)) x)) (pow y 2)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 5) x) (* -1 (pow y 4))) x)) (pow y 3)) x)) (pow y 2)) x)) |
(* -1 (/ (+ y (/ (pow y 2) x)) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (/ 1 (pow y 2)) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ y x)) (pow (sqrt -1) 2)))) |
(/ -1 (pow (sqrt -1) 2)) |
(- (* -1 (/ y (* x (pow (sqrt -1) 4)))) (/ 1 (pow (sqrt -1) 2))) |
(- (* -1 (/ (- (/ (pow y 2) (* x (pow (sqrt -1) 6))) (* -1 (/ y (pow (sqrt -1) 4)))) x)) (/ 1 (pow (sqrt -1) 2))) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) (* x (pow (sqrt -1) 8)))) (/ (pow y 2) (pow (sqrt -1) 6))) x)) (* -1 (/ y (pow (sqrt -1) 4)))) x)) (/ 1 (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ 1 (/ y x)))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))))) |
(- y (* -1 x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(* (pow y 2) (- (* -1 (/ y (pow x 2))) (/ 1 x))) |
(* (pow y 2) (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) |
(* (pow y 2) (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) |
(* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) |
(* y (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2)) |
(/ (+ y (* -1 x)) (pow y 2)) |
(/ (- y x) y) |
(+ (* -1 x) (* -1 y)) |
(+ (* -1 x) (* y (- (* -1 (/ y x)) 1))) |
(+ (* -1 x) (* y (- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1))) |
(* y (+ 1 (/ x y))) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y)))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (pow y 3)))) (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)))) y) |
(* y (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y)))) |
(* y (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2)))))) |
(- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) |
(- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/ (+ (/ (pow x 3) y) (pow x 2)) y) |
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (* -1 (/ (pow x 3) y))) y) |
(/ (- (+ (/ (pow x 5) (pow y 3)) (pow x 2)) (+ (* -1 (/ (pow x 3) y)) (* -1 (/ (pow x 4) (pow y 2))))) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (/ (pow x 4) y)) y)) (* -1 (pow x 2))) y))) y)) |
(* -1 (* y (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (/ (- (/ x y) 1) y)) |
(* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 5) y)) (* -1 (pow x 4))) y)) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((- (* y (/ y (- y x))) (* x (/ x (- y x)))) (/ x (- (* y (/ y (- y x))) (* x (/ x (- y x))))) (* y (/ y (- y x))) (/ y (- y x)) (/ x (+ y x)) (/ x (+ y x)) (/ x y) (/ x (+ y x)) (* (/ (- 1 (/ x y)) y) x) (/ (- 1 (/ x y)) y) (- 1 (/ x y)) (+ (* (sqrt x) (sqrt x)) y) (/ x (+ (* (sqrt x) (sqrt x)) y)) (sqrt x) (* x (/ x (- y x)))) |
| 6.0ms | y | @ | -inf | ((- (* y (/ y (- y x))) (* x (/ x (- y x)))) (/ x (- (* y (/ y (- y x))) (* x (/ x (- y x))))) (* y (/ y (- y x))) (/ y (- y x)) (/ x (+ y x)) (/ x (+ y x)) (/ x y) (/ x (+ y x)) (* (/ (- 1 (/ x y)) y) x) (/ (- 1 (/ x y)) y) (- 1 (/ x y)) (+ (* (sqrt x) (sqrt x)) y) (/ x (+ (* (sqrt x) (sqrt x)) y)) (sqrt x) (* x (/ x (- y x)))) |
| 5.0ms | x | @ | -inf | ((- (* y (/ y (- y x))) (* x (/ x (- y x)))) (/ x (- (* y (/ y (- y x))) (* x (/ x (- y x))))) (* y (/ y (- y x))) (/ y (- y x)) (/ x (+ y x)) (/ x (+ y x)) (/ x y) (/ x (+ y x)) (* (/ (- 1 (/ x y)) y) x) (/ (- 1 (/ x y)) y) (- 1 (/ x y)) (+ (* (sqrt x) (sqrt x)) y) (/ x (+ (* (sqrt x) (sqrt x)) y)) (sqrt x) (* x (/ x (- y x)))) |
| 3.0ms | x | @ | inf | ((- (* y (/ y (- y x))) (* x (/ x (- y x)))) (/ x (- (* y (/ y (- y x))) (* x (/ x (- y x))))) (* y (/ y (- y x))) (/ y (- y x)) (/ x (+ y x)) (/ x (+ y x)) (/ x y) (/ x (+ y x)) (* (/ (- 1 (/ x y)) y) x) (/ (- 1 (/ x y)) y) (- 1 (/ x y)) (+ (* (sqrt x) (sqrt x)) y) (/ x (+ (* (sqrt x) (sqrt x)) y)) (sqrt x) (* x (/ x (- y x)))) |
| 3.0ms | y | @ | inf | ((- (* y (/ y (- y x))) (* x (/ x (- y x)))) (/ x (- (* y (/ y (- y x))) (* x (/ x (- y x))))) (* y (/ y (- y x))) (/ y (- y x)) (/ x (+ y x)) (/ x (+ y x)) (/ x y) (/ x (+ y x)) (* (/ (- 1 (/ x y)) y) x) (/ (- 1 (/ x y)) y) (- 1 (/ x y)) (+ (* (sqrt x) (sqrt x)) y) (/ x (+ (* (sqrt x) (sqrt x)) y)) (sqrt x) (* x (/ x (- y x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 488 | 1802 |
| 0 | 1711 | 1768 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
y |
(+ x y) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ 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))) |
(+ y (* x (+ 1 (/ x y)))) |
(+ y (* x (+ 1 (* x (+ (/ 1 y) (/ x (pow y 2))))))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (* x (+ (/ 1 y) (/ x (pow y 2))))) |
(+ 1 (* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)))) |
(/ 1 y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(+ 1 (* -1 (/ x y))) |
(sqrt x) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 y) (/ x (pow y 2)))) |
(* (pow x 2) (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))) |
(* (pow x 2) (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -2 (pow y 2)) (pow y 2)))) (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2))))) (pow x 3)))) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* -1 (/ (pow y 2) x)) |
(/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x) |
(/ (- (+ (* -1 (/ (pow y 4) (pow x 2))) (* -1 (pow y 2))) (/ (pow y 3) x)) x) |
(/ (- (+ (* -1 (/ (pow y 5) (pow x 3))) (* -1 (pow y 2))) (+ (/ (pow y 3) x) (/ (pow y 4) (pow x 2)))) x) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow x 2)))) (/ (pow y 2) x)) x) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow x 3)))) (+ (/ (pow y 2) x) (/ (pow y 3) (pow x 2)))) x) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(* -1 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(* -1 (/ x (pow y 2))) |
(* x (- (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(* -1 (/ x y)) |
(* x (- (/ 1 x) (/ 1 y))) |
(* -1 x) |
(* x (- (* -1 (/ y x)) 1)) |
(* x (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x)))) |
(* x (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow y 2) x))) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (/ (* y (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (* -1 y)) x))) |
(* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow y 4) x)) (pow y 3)) x)) (pow y 2)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 5) x) (* -1 (pow y 4))) x)) (pow y 3)) x)) (pow y 2)) x)) |
(* -1 (/ (+ y (/ (pow y 2) x)) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (/ 1 (pow y 2)) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ y x)) (pow (sqrt -1) 2)))) |
(/ -1 (pow (sqrt -1) 2)) |
(- (* -1 (/ y (* x (pow (sqrt -1) 4)))) (/ 1 (pow (sqrt -1) 2))) |
(- (* -1 (/ (- (/ (pow y 2) (* x (pow (sqrt -1) 6))) (* -1 (/ y (pow (sqrt -1) 4)))) x)) (/ 1 (pow (sqrt -1) 2))) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) (* x (pow (sqrt -1) 8)))) (/ (pow y 2) (pow (sqrt -1) 6))) x)) (* -1 (/ y (pow (sqrt -1) 4)))) x)) (/ 1 (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ 1 (/ y x)))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))))) |
(- y (* -1 x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(* (pow y 2) (- (* -1 (/ y (pow x 2))) (/ 1 x))) |
(* (pow y 2) (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) |
(* (pow y 2) (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) |
(* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) |
(* y (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2)) |
(/ (+ y (* -1 x)) (pow y 2)) |
(/ (- y x) y) |
(+ (* -1 x) (* -1 y)) |
(+ (* -1 x) (* y (- (* -1 (/ y x)) 1))) |
(+ (* -1 x) (* y (- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1))) |
(* y (+ 1 (/ x y))) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y)))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (pow y 3)))) (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)))) y) |
(* y (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y)))) |
(* y (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2)))))) |
(- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) |
(- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/ (+ (/ (pow x 3) y) (pow x 2)) y) |
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (* -1 (/ (pow x 3) y))) y) |
(/ (- (+ (/ (pow x 5) (pow y 3)) (pow x 2)) (+ (* -1 (/ (pow x 3) y)) (* -1 (/ (pow x 4) (pow y 2))))) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (/ (pow x 4) y)) y)) (* -1 (pow x 2))) y))) y)) |
(* -1 (* y (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (/ (- (/ x y) 1) y)) |
(* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 5) y)) (* -1 (pow x 4))) y)) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
| Outputs |
|---|
y |
(+ x y) |
(+.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
(+ y (* x (+ 1 (/ x y)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x y) |
(+ y (* x (+ 1 (* x (+ (/ 1 y) (/ x (pow y 2))))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) x #s(literal 1 binary64)) x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* x (+ (/ 1 y) (/ x (pow y 2))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (* -1 (/ x y))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* (pow x 2) (+ (/ 1 y) (/ x (pow y 2)))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)))) |
(* (pow x 2) (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))) |
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(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 x x) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) y) #s(literal -1 binary64) (neg.f64 x)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (/ (pow x 4) y)) y)) (* -1 (pow x 2))) y))) y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (*.f64 x x)) y) #s(literal -1 binary64) (neg.f64 x)) y)) |
(* -1 (* y (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) y) (neg.f64 x)) y) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) (neg.f64 x)) y) #s(literal -1 binary64) #s(literal -1 binary64))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 x x)) y) x) y) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) |
(fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 (*.f64 x x))) y)) x) y) #s(literal -1 binary64) #s(literal 1 binary64)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) y) #s(literal -1 binary64) (neg.f64 x)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (*.f64 x x)) y) #s(literal -1 binary64) (neg.f64 x)) y)) |
(* -1 (/ (- (/ x y) 1) y)) |
(neg.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) |
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y) #s(literal -1 binary64) (neg.f64 (*.f64 x x))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 5) y)) (* -1 (pow x 4))) y)) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) y) #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) y) #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y) #s(literal -1 binary64) (neg.f64 (*.f64 x x))) y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 122 |
| 0 | 37 | 140 |
| 1 | 158 | 92 |
| 2 | 1246 | 92 |
| 0 | 9387 | 92 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))) |
(/.f64 x (-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))) |
(*.f64 y (/.f64 y (-.f64 y x))) |
(/.f64 y (-.f64 y x)) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) |
(/.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)) |
(sqrt.f64 x) |
(*.f64 x (/.f64 x (-.f64 y x))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 y x) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 y x) (-.f64 x y)))) (/.f64 (-.f64 y x) (-.f64 x y))) |
(*.f64 (/.f64 (-.f64 y x) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 y x) (fma.f64 x (-.f64 y x) (*.f64 y y)))) |
(*.f64 (/.f64 (-.f64 y x) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (-.f64 y x) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(*.f64 (/.f64 (-.f64 y x) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 (-.f64 y x) (-.f64 y x))) |
(*.f64 (/.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 x y))) (/.f64 (-.f64 y x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y x) (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 y x) #s(literal 3 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (fma.f64 x (-.f64 y x) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 y x) (*.f64 y y))) |
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 (-.f64 y x) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (pow.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 y x) (*.f64 y y)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 y x) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x)))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (-.f64 x y)) |
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)) (-.f64 y x)) |
(/.f64 (+.f64 (neg.f64 (*.f64 y y)) (*.f64 x x)) (-.f64 x y)) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 x y)) |
(/.f64 (fma.f64 y (neg.f64 y) (*.f64 x x)) (-.f64 x y)) |
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 y y))) (-.f64 x y)) |
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 y) y)) (-.f64 x y)) |
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (*.f64 y (neg.f64 y))) (-.f64 x y)) |
(/.f64 (+.f64 (neg.f64 (*.f64 y y)) (neg.f64 (*.f64 x x))) (-.f64 x y)) |
(/.f64 (fma.f64 (neg.f64 y) y (neg.f64 (*.f64 x x))) (-.f64 x y)) |
(/.f64 (fma.f64 y (neg.f64 y) (neg.f64 (*.f64 x x))) (-.f64 x y)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (-.f64 y x) (*.f64 (-.f64 y x) (*.f64 x x)))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 y x) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 y x) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x)))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x y))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (-.f64 y x)) (*.f64 (-.f64 y x) (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (-.f64 x y)) (*.f64 (/.f64 (-.f64 y x) y) (neg.f64 (*.f64 x x)))) (*.f64 (/.f64 (-.f64 y x) y) (-.f64 x y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 x y) x)) (*.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 x y) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (-.f64 y x)) (*.f64 (/.f64 (-.f64 y x) y) (*.f64 x x))) (*.f64 (/.f64 (-.f64 y x) y) (-.f64 y x))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (/.f64 (-.f64 y x) y) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 y x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 x y) x)) (*.f64 (/.f64 (-.f64 y x) y) x)) (*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 x y) x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (-.f64 x y)) (*.f64 (-.f64 x y) (neg.f64 (*.f64 x x)))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 (-.f64 x y) x)) (*.f64 (-.f64 x y) (*.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 x y) (/.f64 (-.f64 x y) x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (-.f64 y x)) (*.f64 (-.f64 x y) (*.f64 x x))) (*.f64 (-.f64 x y) (-.f64 y x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 x y) #s(literal 1 binary64))) (*.f64 (-.f64 x y) (/.f64 (-.f64 y x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 (-.f64 x y) x)) (*.f64 (-.f64 x y) x)) (*.f64 (-.f64 x y) (/.f64 (-.f64 x y) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)) (*.f64 (-.f64 x y) (neg.f64 (*.f64 x x)))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 (-.f64 x y) x)) (*.f64 (-.f64 x y) (*.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 x y) (/.f64 (-.f64 x y) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (-.f64 y x)) (*.f64 (-.f64 x y) (*.f64 x x))) (*.f64 (-.f64 x y) (-.f64 y x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 x y) #s(literal 1 binary64))) (*.f64 (-.f64 x y) (/.f64 (-.f64 y x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 (-.f64 x y) x)) (*.f64 (-.f64 x y) x)) (*.f64 (-.f64 x y) (/.f64 (-.f64 x y) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (neg.f64 y)) (-.f64 x y)) (*.f64 (-.f64 x y) (neg.f64 (*.f64 x x)))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (neg.f64 y)) (/.f64 (-.f64 x y) x)) (*.f64 (-.f64 x y) (*.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 x y) (/.f64 (-.f64 x y) x))) |
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(*.f64 (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 y x) #s(literal 3 binary64)))) (/.f64 x (pow.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 x (-.f64 y x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (-.f64 y x)) x)) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 x x) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x (-.f64 y x)))) |
(*.f64 (/.f64 x (-.f64 y x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 y x)) x) |
(*.f64 x (/.f64 x (-.f64 y x))) |
(pow.f64 (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (-.f64 x y)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (-.f64 x y) x))) |
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 x x)) (-.f64 x y)) |
(/.f64 (neg.f64 (*.f64 x x)) (-.f64 y x)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x y) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 x x) (-.f64 x y)) |
(/.f64 (*.f64 x x) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 x x))) |
(/.f64 x (neg.f64 (/.f64 (-.f64 x y) x))) |
(/.f64 x (/.f64 (-.f64 x y) x)) |
(neg.f64 (*.f64 (/.f64 x (-.f64 y x)) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) x)) (*.f64 (/.f64 x (-.f64 y x)) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (-.f64 y x)) x)) |
Compiled 24 416 to 3 585 computations (85.3% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 970 | 5 | 975 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 973 | 8 | 981 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.3% | (/.f64 x (/.f64 (fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) (*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 x y) x)))) |
| ▶ | 61.9% | (/.f64 x (/.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (-.f64 x y))) |
| ✓ | 100.0% | (/.f64 x (+.f64 y x)) |
| ▶ | 99.5% | (/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))) |
| ▶ | 15.4% | #s(approx (/ x (+ y x)) (/.f64 x (neg.f64 y))) |
| ✓ | 51.6% | #s(approx (/ x (+ y x)) (/.f64 x y)) |
| ▶ | 37.6% | #s(approx (/ x (+ y x)) (*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) x)) |
| ✓ | 49.3% | #s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
Compiled 219 to 124 computations (43.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 x y) x) | |
| cost-diff | 0 | (/.f64 x (/.f64 (fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) (*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 x y) x)))) | |
| cost-diff | 384 | (fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) | |
| cost-diff | 4416 | (/.f64 (fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) (*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 x y) x))) | |
| cost-diff | 0 | (*.f64 y (neg.f64 y)) | |
| cost-diff | 0 | (fma.f64 x x (*.f64 y (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 x (/.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (-.f64 x y))) | |
| cost-diff | 1216 | (/.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (-.f64 x y)) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) x) | |
| cost-diff | 0 | #s(approx (/ x (+ y x)) (*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (/.f64 x (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (/ x (+ y x)) (/.f64 x (neg.f64 y))) | |
| cost-diff | 0 | (+.f64 (/.f64 y x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))) | |
| cost-diff | 128 | (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 300 |
| 0 | 65 | 270 |
| 1 | 138 | 270 |
| 2 | 426 | 264 |
| 3 | 1891 | 223 |
| 0 | 8887 | 220 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))) |
x |
#s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(+.f64 (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
#s(literal 1 binary64) |
#s(approx (/ x (+ y x)) (/.f64 x (neg.f64 y))) |
(/.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
#s(approx (/ x (+ y x)) (*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) x)) |
(*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) x) |
#s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) |
(/.f64 (-.f64 y x) (*.f64 y y)) |
(-.f64 y x) |
y |
x |
(*.f64 y y) |
(/.f64 x (/.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (-.f64 x y))) |
x |
(/.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (-.f64 x y)) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(*.f64 y (neg.f64 y)) |
y |
(neg.f64 y) |
(-.f64 x y) |
(/.f64 x (/.f64 (fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) (*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 x y) x)))) |
x |
(/.f64 (fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) (*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 x y) x))) |
(fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) |
y |
(/.f64 (-.f64 x y) x) |
(-.f64 x y) |
(*.f64 (/.f64 (-.f64 y x) y) x) |
(/.f64 (-.f64 y x) y) |
(-.f64 y x) |
(*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 x y) x)) |
| Outputs |
|---|
(/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))) |
(/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x))) |
x |
#s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
#s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 y x) x x) |
(+.f64 (/.f64 y x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 y x) |
y |
#s(literal 1 binary64) |
#s(approx (/ x (+ y x)) (/.f64 x (neg.f64 y))) |
(/.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
#s(approx (/ x (+ y x)) (*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) x)) |
#s(approx (/ x (+ y x)) (*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (/.f64 (-.f64 y x) y) y)) x)) |
(*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) x) |
(*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (/.f64 (-.f64 y x) y) y)) x) |
#s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) |
#s(approx (/ (- 1 (/ x y)) y) (/.f64 (/.f64 (-.f64 y x) y) y)) |
(/.f64 (-.f64 y x) (*.f64 y y)) |
(/.f64 (/.f64 (-.f64 y x) y) y) |
(-.f64 y x) |
y |
x |
(*.f64 y y) |
(/.f64 x (/.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (-.f64 x y))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64)) |
x |
(/.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (-.f64 x y)) |
(*.f64 (+.f64 y x) #s(literal 1 binary64)) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(fma.f64 x x (*.f64 (neg.f64 y) y)) |
(*.f64 y (neg.f64 y)) |
(*.f64 (neg.f64 y) y) |
y |
(neg.f64 y) |
(-.f64 x y) |
(/.f64 x (/.f64 (fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) (*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 x y) x)))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64)) |
x |
(/.f64 (fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) (*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 x y) x))) |
(*.f64 (+.f64 y x) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) |
(*.f64 (-.f64 x y) (-.f64 (/.f64 y x) (/.f64 x y))) |
y |
(/.f64 (-.f64 x y) x) |
(-.f64 x y) |
(*.f64 (/.f64 (-.f64 y x) y) x) |
(/.f64 (-.f64 y x) y) |
(-.f64 y x) |
(*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 x y) x)) |
(*.f64 (/.f64 (/.f64 (-.f64 x y) x) y) (-.f64 y x)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01953125 | (/.f64 x (/.f64 (fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) (*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 x y) x)))) | |
| accuracy | 0.0625 | (*.f64 (/.f64 (-.f64 y x) y) x) | |
| accuracy | 0.0703125 | (fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) | |
| accuracy | 31.805755781989564 | (/.f64 (fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) (*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 x y) x))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.01953125 | (/.f64 x (/.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (-.f64 x y))) | |
| accuracy | 1.5038897356333614 | (fma.f64 x x (*.f64 y (neg.f64 y))) | |
| accuracy | 29.099048279146842 | (/.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (-.f64 x y)) | |
| accuracy | 0 | #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) | |
| accuracy | 1.2458746270731373 | (*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) x) | |
| accuracy | 17.681685228660353 | (/.f64 (-.f64 y x) (*.f64 y y)) | |
| accuracy | 31.11622913764444 | #s(approx (/ x (+ y x)) (*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) x)) | |
| accuracy | 0 | (/.f64 x (neg.f64 y)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 54.16143663497414 | #s(approx (/ x (+ y x)) (/.f64 x (neg.f64 y))) | |
| accuracy | 0 | #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 y x) #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))) | |
| accuracy | 7.745925281825563 | (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
| 121.0ms | 256× | 0 | valid |
Compiled 553 to 80 computations (85.5% saved)
ival-div: 59.0ms (56.7% of total)ival-mult: 32.0ms (30.7% of total)ival-sub: 7.0ms (6.7% of total)ival-add: 4.0ms (3.8% of total)ival-neg: 1.0ms (1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))) |
#s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
(+.f64 (/.f64 y x) #s(literal 1 binary64)) |
#s(approx (/ x (+ y x)) (/.f64 x (neg.f64 y))) |
(/.f64 x (neg.f64 y)) |
(neg.f64 y) |
#s(approx (/ x (+ y x)) (*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) x)) |
(*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) x) |
#s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) |
(-.f64 y x) |
(/.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (-.f64 x y)) |
(/.f64 x (/.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (-.f64 x y))) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(*.f64 y (neg.f64 y)) |
(/.f64 (fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) (*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 x y) x))) |
(fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) |
(/.f64 x (/.f64 (fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) (*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 x y) x)))) |
(/.f64 (-.f64 x y) x) |
(/.f64 (-.f64 y x) (*.f64 y y)) |
(*.f64 (/.f64 (-.f64 y x) y) x) |
| Outputs |
|---|
y |
(+ x y) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ 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))) |
(/ y x) |
(/ (+ x y) x) |
(* -1 (/ x y)) |
(/ 1 y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(+ y (* -1 x)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(* -1 (/ (pow y 2) x)) |
(/ (+ (* -1 (pow y 2)) (* x y)) x) |
(/ (+ (* -1 (pow y 2)) (* x (+ x y))) x) |
(/ (+ (* -1 (pow y 2)) (* x (+ y (* x (+ 1 (* -1 (/ x y))))))) x) |
(* -1 (/ y x)) |
(/ (+ x (* -1 y)) x) |
x |
(* x (+ 1 (* -1 (/ x y)))) |
(* x (+ 1 (/ y x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -2 (pow y 2)) (pow y 2)))) (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2))))) (pow x 3)))) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(+ 1 (/ y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(* -1 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(* -1 (/ x (pow y 2))) |
(* x (- (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 3) (pow x 3))))) (* -1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ y x))) (* -2 (/ y x)))) |
(* x (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) (+ (* -2 (/ y x)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) (pow x 2))) (/ (pow y 2) (pow x 2)))))) |
(* x (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 3) (pow x 3))))) (+ (* -2 (/ y x)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) (pow x 2))) (+ (* -2 (/ (* y (- (* -1 (pow y 2)) (+ (* -2 (* y (- (* -1 y) (* -2 y)))) (pow y 2)))) (pow x 3))) (+ (/ (* (pow y 2) (- (* -1 y) (* -2 y))) (pow x 3)) (/ (pow y 2) (pow x 2)))))))) |
(* -1 (/ (pow x 2) y)) |
(* (pow x 2) (- (/ 1 x) (/ 1 y))) |
(* (pow x 2) (- (+ (/ 1 x) (/ y (pow x 2))) (/ 1 y))) |
(* (pow x 2) (- (+ (* -1 (/ (pow y 2) (pow x 3))) (+ (/ 1 x) (/ y (pow x 2)))) (/ 1 y))) |
(- (+ 1 (* -2 (/ y x))) (* -1 (/ y x))) |
(- (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (* y (- (* -2 y) (* -1 y))) (pow x 2))) (* -1 (/ (pow y 2) (pow x 2)))))) |
(- (+ 1 (+ (* -2 (/ y x)) (+ (* -1 (/ (+ (* -1 (* y (- (pow y 2) (+ (* -1 (* y (- (* -2 y) (* -1 y)))) (* -1 (pow y 2)))))) (+ (* -1 (* (pow y 2) (- (* -2 y) (* -1 y)))) (pow y 3))) (pow x 3))) (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ y x)) (+ (* -1 (/ (* y (- (* -2 y) (* -1 y))) (pow x 2))) (* -1 (/ (pow y 2) (pow x 2)))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow y 2) x))) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (/ (* y (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (/ 1 (pow y 2)) (/ 1 (* x y))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))) |
(+ 1 (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x))) |
(* -1 (* x (- (* -1 (/ (- (* -1 y) (* -2 y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (pow y 2) (+ (* -1 (pow y 2)) (* 2 (* y (- (* -1 y) (* -2 y)))))) x))) (* -2 y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (pow y 3) (+ (* 2 (* y (- (pow y 2) (+ (* -1 (pow y 2)) (* 2 (* y (- (* -1 y) (* -2 y)))))))) (* (pow y 2) (- (* -1 y) (* -2 y))))) x)) (pow y 2)) (+ (* -1 (pow y 2)) (* 2 (* y (- (* -1 y) (* -2 y)))))) x))) (* -2 y)) x)) 1))) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ y x)) 1) x)) (/ 1 y))) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x)) (/ 1 y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -2 y) (* -1 y))) (* -1 (/ (pow y 2) x))) (+ (/ (* y (- (* -2 y) (* -1 y))) x) (/ (pow y 2) x))) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -2 y) (* -1 y))) (* -1 (/ (+ (* -1 (- (* -1 (pow y 2)) (+ (* y (- (* -2 y) (* -1 y))) (pow y 2)))) (* -1 (/ (+ (* -1 (* (pow y 2) (- (* -2 y) (* -1 y)))) (+ (* y (- (* -1 (pow y 2)) (+ (* y (- (* -2 y) (* -1 y))) (pow y 2)))) (pow y 3))) x))) x))) x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(- y (* -1 x)) |
(* -1 y) |
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2)) |
(/ (+ y (* -1 x)) (pow y 2)) |
(- y x) |
(/ (+ (* -1 (pow x 2)) (* x y)) y) |
(/ (+ (* -1 (pow x 2)) (* y (+ x y))) y) |
(/ (+ (* -1 (pow x 2)) (* y (+ x (* y (+ 1 (* -1 (/ y x))))))) y) |
(* y (+ 1 (/ x y))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (pow y 3)))) (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)))) y) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y)))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/ (+ 1 (* -1 (/ x y))) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(/ (+ x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ x (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 4) (pow y 3))))) (* -1 (/ (pow x 3) (pow y 2)))) y) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* y (- (+ 1 (* -1 (/ x y))) (* -2 (/ x y)))) |
(* y (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) (+ (* -2 (/ x y)) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (pow y 2))) (/ (pow x 2) (pow y 2)))))) |
(* y (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 3) (pow y 3))))) (+ (* -2 (/ x y)) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (pow y 2))) (+ (* -2 (/ (* x (- (* -1 (pow x 2)) (+ (* -2 (* x (- (* -1 x) (* -2 x)))) (pow x 2)))) (pow y 3))) (+ (/ (* (pow x 2) (- (* -1 x) (* -2 x))) (pow y 3)) (/ (pow x 2) (pow y 2)))))))) |
(* (pow y 2) (- (/ 1 y) (/ 1 x))) |
(* (pow y 2) (- (+ (/ 1 y) (/ x (pow y 2))) (/ 1 x))) |
(* (pow y 2) (- (+ (* -1 (/ (pow x 2) (pow y 3))) (+ (/ 1 y) (/ x (pow y 2)))) (/ 1 x))) |
(/ (- (+ x (* -2 (/ (pow x 2) y))) (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (+ (* -2 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2)))) (+ (* -1 (/ (* x (- (* -2 (pow x 2)) (* -1 (pow x 2)))) (pow y 2))) (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 3) (pow y 2)))))) y) |
(/ (- (+ x (+ (* -2 (/ (pow x 2) y)) (+ (* -1 (/ (+ (* -1 (* x (- (pow x 3) (+ (* -1 (* x (- (* -2 (pow x 2)) (* -1 (pow x 2))))) (* -1 (pow x 3)))))) (+ (* -1 (* (pow x 2) (- (* -2 (pow x 2)) (* -1 (pow x 2))))) (pow x 4))) (pow y 3))) (/ (pow x 3) (pow y 2))))) (+ (* -1 (/ (* x (- (* -2 (pow x 2)) (* -1 (pow x 2)))) (pow y 2))) (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 3) (pow y 2)))))) y) |
(* y (- (/ 1 y) (/ 1 x))) |
(+ x (* -1 (/ (pow x 2) y))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (/ (pow x 4) y)) y)) (* -1 (pow x 2))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (/ (- (/ x y) 1) y)) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y))) y)) |
(* -1 (* y (- (* -1 (/ (- (* -1 x) (* -2 x)) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))) y))) (* -2 x)) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (+ (* 2 (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))))) (* (pow x 2) (- (* -1 x) (* -2 x))))) y)) (pow x 2)) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))) y))) (* -2 x)) y)) 1))) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ x y)) 1) y)) (/ 1 x))) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y)) (/ 1 x))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -2 (pow x 2)) (* -1 (pow x 2))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ (* -2 (pow x 2)) (* -1 (/ (- (* -1 (pow x 3)) (+ (* x (- (* -2 (pow x 2)) (* -1 (pow x 2)))) (pow x 3))) y))) (* -1 (pow x 2))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ (* -2 (pow x 2)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (- (* -2 (pow x 2)) (* -1 (pow x 2)))) y)) (+ (* -1 (pow x 3)) (+ (/ (* x (- (* -1 (pow x 3)) (+ (* x (- (* -2 (pow x 2)) (* -1 (pow x 2)))) (pow x 3)))) y) (/ (pow x 4) y)))) (+ (* x (- (* -2 (pow x 2)) (* -1 (pow x 2)))) (pow x 3))) y))) (* -1 (pow x 2))) y))) y)) |
(* -1 (* y (- (/ 1 x) (/ 1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | x | @ | inf | ((* (+ (/ y x) 1) x) (/ x (- (* y (/ y (- y x))) (* x (/ x (- y x))))) (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+ (/ y x) 1) (/ x (+ y x)) (/ x (neg y)) (neg y) (/ x (+ y x)) (* (/ (- 1 (/ x y)) y) x) (/ (- 1 (/ x y)) y) (- y x) (/ (+ (* x x) (* y (neg y))) (- x y)) (/ x (/ (+ (* x x) (* y (neg y))) (- x y))) (+ (* x x) (* y (neg y))) (* y (neg y)) (/ (+ (* y (/ (- x y) x)) (* (/ (- y x) y) x)) (* (/ (- y x) y) (/ (- x y) x))) (+ (* y (/ (- x y) x)) (* (/ (- y x) y) x)) (/ x (/ (+ (* y (/ (- x y) x)) (* (/ (- y x) y) x)) (* (/ (- y x) y) (/ (- x y) x)))) (/ (- x y) x) (/ (- y x) (* y y)) (* (/ (- y x) y) x)) |
| 11.0ms | y | @ | 0 | ((* (+ (/ y x) 1) x) (/ x (- (* y (/ y (- y x))) (* x (/ x (- y x))))) (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+ (/ y x) 1) (/ x (+ y x)) (/ x (neg y)) (neg y) (/ x (+ y x)) (* (/ (- 1 (/ x y)) y) x) (/ (- 1 (/ x y)) y) (- y x) (/ (+ (* x x) (* y (neg y))) (- x y)) (/ x (/ (+ (* x x) (* y (neg y))) (- x y))) (+ (* x x) (* y (neg y))) (* y (neg y)) (/ (+ (* y (/ (- x y) x)) (* (/ (- y x) y) x)) (* (/ (- y x) y) (/ (- x y) x))) (+ (* y (/ (- x y) x)) (* (/ (- y x) y) x)) (/ x (/ (+ (* y (/ (- x y) x)) (* (/ (- y x) y) x)) (* (/ (- y x) y) (/ (- x y) x)))) (/ (- x y) x) (/ (- y x) (* y y)) (* (/ (- y x) y) x)) |
| 5.0ms | y | @ | inf | ((* (+ (/ y x) 1) x) (/ x (- (* y (/ y (- y x))) (* x (/ x (- y x))))) (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+ (/ y x) 1) (/ x (+ y x)) (/ x (neg y)) (neg y) (/ x (+ y x)) (* (/ (- 1 (/ x y)) y) x) (/ (- 1 (/ x y)) y) (- y x) (/ (+ (* x x) (* y (neg y))) (- x y)) (/ x (/ (+ (* x x) (* y (neg y))) (- x y))) (+ (* x x) (* y (neg y))) (* y (neg y)) (/ (+ (* y (/ (- x y) x)) (* (/ (- y x) y) x)) (* (/ (- y x) y) (/ (- x y) x))) (+ (* y (/ (- x y) x)) (* (/ (- y x) y) x)) (/ x (/ (+ (* y (/ (- x y) x)) (* (/ (- y x) y) x)) (* (/ (- y x) y) (/ (- x y) x)))) (/ (- x y) x) (/ (- y x) (* y y)) (* (/ (- y x) y) x)) |
| 5.0ms | x | @ | 0 | ((* (+ (/ y x) 1) x) (/ x (- (* y (/ y (- y x))) (* x (/ x (- y x))))) (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+ (/ y x) 1) (/ x (+ y x)) (/ x (neg y)) (neg y) (/ x (+ y x)) (* (/ (- 1 (/ x y)) y) x) (/ (- 1 (/ x y)) y) (- y x) (/ (+ (* x x) (* y (neg y))) (- x y)) (/ x (/ (+ (* x x) (* y (neg y))) (- x y))) (+ (* x x) (* y (neg y))) (* y (neg y)) (/ (+ (* y (/ (- x y) x)) (* (/ (- y x) y) x)) (* (/ (- y x) y) (/ (- x y) x))) (+ (* y (/ (- x y) x)) (* (/ (- y x) y) x)) (/ x (/ (+ (* y (/ (- x y) x)) (* (/ (- y x) y) x)) (* (/ (- y x) y) (/ (- x y) x)))) (/ (- x y) x) (/ (- y x) (* y y)) (* (/ (- y x) y) x)) |
| 4.0ms | x | @ | -inf | ((* (+ (/ y x) 1) x) (/ x (- (* y (/ y (- y x))) (* x (/ x (- y x))))) (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+ (/ y x) 1) (/ x (+ y x)) (/ x (neg y)) (neg y) (/ x (+ y x)) (* (/ (- 1 (/ x y)) y) x) (/ (- 1 (/ x y)) y) (- y x) (/ (+ (* x x) (* y (neg y))) (- x y)) (/ x (/ (+ (* x x) (* y (neg y))) (- x y))) (+ (* x x) (* y (neg y))) (* y (neg y)) (/ (+ (* y (/ (- x y) x)) (* (/ (- y x) y) x)) (* (/ (- y x) y) (/ (- x y) x))) (+ (* y (/ (- x y) x)) (* (/ (- y x) y) x)) (/ x (/ (+ (* y (/ (- x y) x)) (* (/ (- y x) y) x)) (* (/ (- y x) y) (/ (- x y) x)))) (/ (- x y) x) (/ (- y x) (* y y)) (* (/ (- y x) y) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 586 | 2377 |
| 1 | 2190 | 1454 |
| 0 | 9406 | 1412 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ x y) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ 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))) |
(/ y x) |
(/ (+ x y) x) |
(* -1 (/ x y)) |
(/ 1 y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(+ y (* -1 x)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(* -1 (/ (pow y 2) x)) |
(/ (+ (* -1 (pow y 2)) (* x y)) x) |
(/ (+ (* -1 (pow y 2)) (* x (+ x y))) x) |
(/ (+ (* -1 (pow y 2)) (* x (+ y (* x (+ 1 (* -1 (/ x y))))))) x) |
(* -1 (/ y x)) |
(/ (+ x (* -1 y)) x) |
x |
(* x (+ 1 (* -1 (/ x y)))) |
(* x (+ 1 (/ y x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -2 (pow y 2)) (pow y 2)))) (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2))))) (pow x 3)))) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(+ 1 (/ y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(* -1 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(* -1 (/ x (pow y 2))) |
(* x (- (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 3) (pow x 3))))) (* -1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ y x))) (* -2 (/ y x)))) |
(* x (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) (+ (* -2 (/ y x)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) (pow x 2))) (/ (pow y 2) (pow x 2)))))) |
(* x (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 3) (pow x 3))))) (+ (* -2 (/ y x)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) (pow x 2))) (+ (* -2 (/ (* y (- (* -1 (pow y 2)) (+ (* -2 (* y (- (* -1 y) (* -2 y)))) (pow y 2)))) (pow x 3))) (+ (/ (* (pow y 2) (- (* -1 y) (* -2 y))) (pow x 3)) (/ (pow y 2) (pow x 2)))))))) |
(* -1 (/ (pow x 2) y)) |
(* (pow x 2) (- (/ 1 x) (/ 1 y))) |
(* (pow x 2) (- (+ (/ 1 x) (/ y (pow x 2))) (/ 1 y))) |
(* (pow x 2) (- (+ (* -1 (/ (pow y 2) (pow x 3))) (+ (/ 1 x) (/ y (pow x 2)))) (/ 1 y))) |
(- (+ 1 (* -2 (/ y x))) (* -1 (/ y x))) |
(- (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (* y (- (* -2 y) (* -1 y))) (pow x 2))) (* -1 (/ (pow y 2) (pow x 2)))))) |
(- (+ 1 (+ (* -2 (/ y x)) (+ (* -1 (/ (+ (* -1 (* y (- (pow y 2) (+ (* -1 (* y (- (* -2 y) (* -1 y)))) (* -1 (pow y 2)))))) (+ (* -1 (* (pow y 2) (- (* -2 y) (* -1 y)))) (pow y 3))) (pow x 3))) (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ y x)) (+ (* -1 (/ (* y (- (* -2 y) (* -1 y))) (pow x 2))) (* -1 (/ (pow y 2) (pow x 2)))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow y 2) x))) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (/ (* y (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (/ 1 (pow y 2)) (/ 1 (* x y))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))) |
(+ 1 (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x))) |
(* -1 (* x (- (* -1 (/ (- (* -1 y) (* -2 y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (pow y 2) (+ (* -1 (pow y 2)) (* 2 (* y (- (* -1 y) (* -2 y)))))) x))) (* -2 y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (pow y 3) (+ (* 2 (* y (- (pow y 2) (+ (* -1 (pow y 2)) (* 2 (* y (- (* -1 y) (* -2 y)))))))) (* (pow y 2) (- (* -1 y) (* -2 y))))) x)) (pow y 2)) (+ (* -1 (pow y 2)) (* 2 (* y (- (* -1 y) (* -2 y)))))) x))) (* -2 y)) x)) 1))) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ y x)) 1) x)) (/ 1 y))) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x)) (/ 1 y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -2 y) (* -1 y))) (* -1 (/ (pow y 2) x))) (+ (/ (* y (- (* -2 y) (* -1 y))) x) (/ (pow y 2) x))) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -2 y) (* -1 y))) (* -1 (/ (+ (* -1 (- (* -1 (pow y 2)) (+ (* y (- (* -2 y) (* -1 y))) (pow y 2)))) (* -1 (/ (+ (* -1 (* (pow y 2) (- (* -2 y) (* -1 y)))) (+ (* y (- (* -1 (pow y 2)) (+ (* y (- (* -2 y) (* -1 y))) (pow y 2)))) (pow y 3))) x))) x))) x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(- y (* -1 x)) |
(* -1 y) |
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2)) |
(/ (+ y (* -1 x)) (pow y 2)) |
(- y x) |
(/ (+ (* -1 (pow x 2)) (* x y)) y) |
(/ (+ (* -1 (pow x 2)) (* y (+ x y))) y) |
(/ (+ (* -1 (pow x 2)) (* y (+ x (* y (+ 1 (* -1 (/ y x))))))) y) |
(* y (+ 1 (/ x y))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (pow y 3)))) (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)))) y) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y)))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/ (+ 1 (* -1 (/ x y))) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(/ (+ x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ x (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 4) (pow y 3))))) (* -1 (/ (pow x 3) (pow y 2)))) y) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* y (- (+ 1 (* -1 (/ x y))) (* -2 (/ x y)))) |
(* y (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) (+ (* -2 (/ x y)) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (pow y 2))) (/ (pow x 2) (pow y 2)))))) |
(* y (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 3) (pow y 3))))) (+ (* -2 (/ x y)) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (pow y 2))) (+ (* -2 (/ (* x (- (* -1 (pow x 2)) (+ (* -2 (* x (- (* -1 x) (* -2 x)))) (pow x 2)))) (pow y 3))) (+ (/ (* (pow x 2) (- (* -1 x) (* -2 x))) (pow y 3)) (/ (pow x 2) (pow y 2)))))))) |
(* (pow y 2) (- (/ 1 y) (/ 1 x))) |
(* (pow y 2) (- (+ (/ 1 y) (/ x (pow y 2))) (/ 1 x))) |
(* (pow y 2) (- (+ (* -1 (/ (pow x 2) (pow y 3))) (+ (/ 1 y) (/ x (pow y 2)))) (/ 1 x))) |
(/ (- (+ x (* -2 (/ (pow x 2) y))) (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (+ (* -2 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2)))) (+ (* -1 (/ (* x (- (* -2 (pow x 2)) (* -1 (pow x 2)))) (pow y 2))) (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 3) (pow y 2)))))) y) |
(/ (- (+ x (+ (* -2 (/ (pow x 2) y)) (+ (* -1 (/ (+ (* -1 (* x (- (pow x 3) (+ (* -1 (* x (- (* -2 (pow x 2)) (* -1 (pow x 2))))) (* -1 (pow x 3)))))) (+ (* -1 (* (pow x 2) (- (* -2 (pow x 2)) (* -1 (pow x 2))))) (pow x 4))) (pow y 3))) (/ (pow x 3) (pow y 2))))) (+ (* -1 (/ (* x (- (* -2 (pow x 2)) (* -1 (pow x 2)))) (pow y 2))) (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 3) (pow y 2)))))) y) |
(* y (- (/ 1 y) (/ 1 x))) |
(+ x (* -1 (/ (pow x 2) y))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (/ (pow x 4) y)) y)) (* -1 (pow x 2))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (/ (- (/ x y) 1) y)) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y))) y)) |
(* -1 (* y (- (* -1 (/ (- (* -1 x) (* -2 x)) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))) y))) (* -2 x)) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (+ (* 2 (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))))) (* (pow x 2) (- (* -1 x) (* -2 x))))) y)) (pow x 2)) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))) y))) (* -2 x)) y)) 1))) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ x y)) 1) y)) (/ 1 x))) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y)) (/ 1 x))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -2 (pow x 2)) (* -1 (pow x 2))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ (* -2 (pow x 2)) (* -1 (/ (- (* -1 (pow x 3)) (+ (* x (- (* -2 (pow x 2)) (* -1 (pow x 2)))) (pow x 3))) y))) (* -1 (pow x 2))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ (* -2 (pow x 2)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (- (* -2 (pow x 2)) (* -1 (pow x 2)))) y)) (+ (* -1 (pow x 3)) (+ (/ (* x (- (* -1 (pow x 3)) (+ (* x (- (* -2 (pow x 2)) (* -1 (pow x 2)))) (pow x 3)))) y) (/ (pow x 4) y)))) (+ (* x (- (* -2 (pow x 2)) (* -1 (pow x 2)))) (pow x 3))) y))) (* -1 (pow x 2))) y))) y)) |
(* -1 (* y (- (/ 1 x) (/ 1 y)))) |
| Outputs |
|---|
y |
(+ x y) |
(+.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 x y)) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(fma.f64 (*.f64 x x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 x y)) |
(/ y x) |
(/.f64 y x) |
(/ (+ x y) x) |
(/.f64 (+.f64 x y) x) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(/.f64 (/.f64 (-.f64 y x) y) y) |
(+ y (* -1 x)) |
(-.f64 y x) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(* -1 (/ (pow y 2) x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(/ (+ (* -1 (pow y 2)) (* x y)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y) |
(/ (+ (* -1 (pow y 2)) (* x (+ x y))) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y x) |
(/ (+ (* -1 (pow y 2)) (* x (+ y (* x (+ 1 (* -1 (/ x y))))))) x) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x y) x)) x) |
(* -1 (/ y x)) |
(/.f64 y (neg.f64 x)) |
(/ (+ x (* -1 y)) x) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
x |
(* x (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(- (+ 1 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y) x)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -2 (pow y 2)) (pow y 2)))) (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2))))) (pow x 3)))) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y) x)) |
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 #s(literal 0 binary64) x)) x) x x) |
(+ 1 (/ y x)) |
(/.f64 (+.f64 x y) x) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y) x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y) x)) |
(* -1 (/ (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 x y) y)) |
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (*.f64 x x)) |
(* -1 (/ x (pow y 2))) |
(/.f64 (neg.f64 x) (*.f64 y y)) |
(* x (- (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (neg.f64 x) (*.f64 y y))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y) x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 3) (pow x 3))))) (* -1 (/ (pow y 2) (pow x 2)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y) x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y (neg.f64 x)) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* x (- (+ 1 (* -1 (/ y x))) (* -2 (/ y x)))) |
(+.f64 x y) |
(* x (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) (+ (* -2 (/ y x)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) (pow x 2))) (/ (pow y 2) (pow x 2)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) #s(literal 2 binary64) (/.f64 (*.f64 y (/.f64 y x)) x)))) x) |
(* x (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 3) (pow x 3))))) (+ (* -2 (/ y x)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) (pow x 2))) (+ (* -2 (/ (* y (- (* -1 (pow y 2)) (+ (* -2 (* y (- (* -1 y) (* -2 y)))) (pow y 2)))) (pow x 3))) (+ (/ (* (pow y 2) (- (* -1 y) (* -2 y))) (pow x 3)) (/ (pow y 2) (pow x 2)))))))) |
(*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 y x) (fma.f64 (neg.f64 y) (/.f64 (/.f64 y x) x) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))) x) |
(* -1 (/ (pow x 2) y)) |
(*.f64 (neg.f64 x) (/.f64 x y)) |
(* (pow x 2) (- (/ 1 x) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) |
(* (pow x 2) (- (+ (/ 1 x) (/ y (pow x 2))) (/ 1 y))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 y x) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) |
(* (pow x 2) (- (+ (* -1 (/ (pow y 2) (pow x 3))) (+ (/ 1 x) (/ y (pow x 2)))) (/ 1 y))) |
(*.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) |
(- (+ 1 (* -2 (/ y x))) (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(- (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (* y (- (* -2 y) (* -1 y))) (pow x 2))) (* -1 (/ (pow y 2) (pow x 2)))))) |
(-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y x) (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) y) x)) |
(- (+ 1 (+ (* -2 (/ y x)) (+ (* -1 (/ (+ (* -1 (* y (- (pow y 2) (+ (* -1 (* y (- (* -2 y) (* -1 y)))) (* -1 (pow y 2)))))) (+ (* -1 (* (pow y 2) (- (* -2 y) (* -1 y)))) (pow y 3))) (pow x 3))) (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ y x)) (+ (* -1 (/ (* y (- (* -2 y) (* -1 y))) (pow x 2))) (* -1 (/ (pow y 2) (pow x 2)))))) |
(-.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y x) (fma.f64 y (/.f64 (/.f64 y x) x) (pow.f64 (/.f64 y (neg.f64 x)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) y) x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow y 2) x))) (* -1 y)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (/ (* y (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (* -1 y)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y) y) x)) x)) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) y) x) (neg.f64 x) x) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y) y) x)) x)) |
(* -1 (* x (- (/ 1 (pow y 2)) (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y) x)) |
(+ 1 (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y) y) x)) x)) |
(* -1 (* x (- (* -1 (/ (- (* -1 y) (* -2 y)) x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (pow y 2) (+ (* -1 (pow y 2)) (* 2 (* y (- (* -1 y) (* -2 y)))))) x))) (* -2 y)) x)) 1))) |
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) y) x) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (pow y 3) (+ (* 2 (* y (- (pow y 2) (+ (* -1 (pow y 2)) (* 2 (* y (- (* -1 y) (* -2 y)))))))) (* (pow y 2) (- (* -1 y) (* -2 y))))) x)) (pow y 2)) (+ (* -1 (pow y 2)) (* 2 (* y (- (* -1 y) (* -2 y)))))) x))) (* -2 y)) x)) 1))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 y x) #s(literal 0 binary64)) x) y) x) (neg.f64 x) x) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ y x)) 1) x)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 x y) x) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y) x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -2 y) (* -1 y))) (* -1 (/ (pow y 2) x))) (+ (/ (* y (- (* -2 y) (* -1 y))) x) (/ (pow y 2) x))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y) x)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -2 y) (* -1 y))) (* -1 (/ (+ (* -1 (- (* -1 (pow y 2)) (+ (* y (- (* -2 y) (* -1 y))) (pow y 2)))) (* -1 (/ (+ (* -1 (* (pow y 2) (- (* -2 y) (* -1 y)))) (+ (* y (- (* -1 (pow y 2)) (+ (* y (- (* -2 y) (* -1 y))) (pow y 2)))) (pow y 3))) x))) x))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y) y) x)) x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y) x)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal -1 binary64) x)) y #s(literal 1 binary64)) |
(- y (* -1 x)) |
(+.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) |
(/ (+ y (* -1 x)) (pow y 2)) |
(/.f64 (/.f64 (-.f64 y x) y) y) |
(- y x) |
(-.f64 y x) |
(/ (+ (* -1 (pow x 2)) (* x y)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(/ (+ (* -1 (pow x 2)) (* y (+ x y))) y) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x y) |
(/ (+ (* -1 (pow x 2)) (* y (+ x (* y (+ 1 (* -1 (/ y x))))))) y) |
(/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y x) y (*.f64 (neg.f64 x) x)) y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 2)))) (/ (pow x 2) y)) y) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) y) y) x (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (pow y 3)))) (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)))) y) |
(/.f64 (-.f64 (fma.f64 (neg.f64 x) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x) (/.f64 (fma.f64 x x (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)) y)) y) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 y y))) y x) |
(* y (+ (/ 1 x) (/ 1 y))) |
(/.f64 (+.f64 x y) x) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) y) y) x (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (-.f64 (fma.f64 (neg.f64 x) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x) (/.f64 (fma.f64 x x (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)) y)) y) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/.f64 (/.f64 (-.f64 y x) y) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(/ (+ x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2)))) y) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) y) y) x (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(/ (- (+ x (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 4) (pow y 3))))) (* -1 (/ (pow x 3) (pow y 2)))) y) |
(/.f64 (-.f64 (fma.f64 (neg.f64 x) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x) (/.f64 (fma.f64 x x (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)) y)) y) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(* y (- (+ 1 (* -1 (/ x y))) (* -2 (/ x y)))) |
(+.f64 x y) |
(* y (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) (+ (* -2 (/ x y)) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (pow y 2))) (/ (pow x 2) (pow y 2)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (/.f64 x y) y) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x y) (*.f64 x (/.f64 (/.f64 x y) y))))) y) |
(* y (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 3) (pow y 3))))) (+ (* -2 (/ x y)) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (pow y 2))) (+ (* -2 (/ (* x (- (* -1 (pow x 2)) (+ (* -2 (* x (- (* -1 x) (* -2 x)))) (pow x 2)))) (pow y 3))) (+ (/ (* (pow x 2) (- (* -1 x) (* -2 x))) (pow y 3)) (/ (pow x 2) (pow y 2)))))))) |
(*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (/.f64 x y) y) (/.f64 x y)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 x y) (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) y))) y) |
(* (pow y 2) (- (/ 1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y) |
(* (pow y 2) (- (+ (/ 1 y) (/ x (pow y 2))) (/ 1 x))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(* (pow y 2) (- (+ (* -1 (/ (pow x 2) (pow y 3))) (+ (/ 1 y) (/ x (pow y 2)))) (/ 1 x))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) y)) (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(/ (- (+ x (* -2 (/ (pow x 2) y))) (* -1 (/ (pow x 2) y))) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) |
(/ (- (+ x (+ (* -2 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2)))) (+ (* -1 (/ (* x (- (* -2 (pow x 2)) (* -1 (pow x 2)))) (pow y 2))) (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) (fma.f64 #s(literal 0 binary64) (/.f64 (/.f64 x y) y) (*.f64 (neg.f64 x) (/.f64 x y)))) y) |
(/ (- (+ x (+ (* -2 (/ (pow x 2) y)) (+ (* -1 (/ (+ (* -1 (* x (- (pow x 3) (+ (* -1 (* x (- (* -2 (pow x 2)) (* -1 (pow x 2))))) (* -1 (pow x 3)))))) (+ (* -1 (* (pow x 2) (- (* -2 (pow x 2)) (* -1 (pow x 2))))) (pow x 4))) (pow y 3))) (/ (pow x 3) (pow y 2))))) (+ (* -1 (/ (* x (- (* -2 (pow x 2)) (* -1 (pow x 2)))) (pow y 2))) (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (-.f64 (+.f64 (fma.f64 (neg.f64 x) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y)) x) (fma.f64 #s(literal 0 binary64) (/.f64 (/.f64 x y) y) (*.f64 (neg.f64 x) (/.f64 x y)))) y) |
(* y (- (/ 1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ x (* -1 (/ (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) y) y) x (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (/ (pow x 4) y)) y)) (* -1 (pow x 2))) y))) y)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))) (neg.f64 y)) #s(literal -1 binary64) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) y) y) x (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))) (neg.f64 y)) #s(literal -1 binary64) x) y) |
(* -1 (/ (- (/ x y) 1) y)) |
(/.f64 (/.f64 (-.f64 y x) y) y) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y))) y)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))) (neg.f64 y)) #s(literal -1 binary64) x) y) |
(* -1 (* y (- (* -1 (/ (- (* -1 x) (* -2 x)) y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))) y))) (* -2 x)) y)) 1))) |
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) x) y) (neg.f64 y) y) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (+ (* 2 (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))))) (* (pow x 2) (- (* -1 x) (* -2 x))))) y)) (pow x 2)) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))) y))) (* -2 x)) y)) 1))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x y) #s(literal 0 binary64)) y) x) y) (neg.f64 y) y) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ x y)) 1) y)) (/ 1 x))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y)) (/ 1 x))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y x) y) y) x #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -2 (pow x 2)) (* -1 (pow x 2))) y))) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ (* -2 (pow x 2)) (* -1 (/ (- (* -1 (pow x 3)) (+ (* x (- (* -2 (pow x 2)) (* -1 (pow x 2)))) (pow x 3))) y))) (* -1 (pow x 2))) y))) y)) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) y) y) x (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ (* -2 (pow x 2)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (- (* -2 (pow x 2)) (* -1 (pow x 2)))) y)) (+ (* -1 (pow x 3)) (+ (/ (* x (- (* -1 (pow x 3)) (+ (* x (- (* -2 (pow x 2)) (* -1 (pow x 2)))) (pow x 3)))) y) (/ (pow x 4) y)))) (+ (* x (- (* -2 (pow x 2)) (* -1 (pow x 2)))) (pow x 3))) y))) (* -1 (pow x 2))) y))) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y) #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) (neg.f64 y)) x) (neg.f64 y)) |
(* -1 (* y (- (/ 1 x) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 256 |
| 0 | 65 | 248 |
| 1 | 302 | 216 |
| 2 | 2831 | 196 |
| 0 | 9686 | 191 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))) |
#s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
(+.f64 (/.f64 y x) #s(literal 1 binary64)) |
#s(approx (/ x (+ y x)) (/.f64 x (neg.f64 y))) |
(/.f64 x (neg.f64 y)) |
(neg.f64 y) |
#s(approx (/ x (+ y x)) (*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) x)) |
(*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) x) |
#s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) |
(-.f64 y x) |
(/.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (-.f64 x y)) |
(/.f64 x (/.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (-.f64 x y))) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(*.f64 y (neg.f64 y)) |
(/.f64 (fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) (*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 x y) x))) |
(fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) |
(/.f64 x (/.f64 (fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) (*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 x y) x)))) |
(/.f64 (-.f64 x y) x) |
(/.f64 (-.f64 y x) (*.f64 y y)) |
(*.f64 (/.f64 (-.f64 y x) y) x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 x y) x) x) |
(*.f64 x (/.f64 (-.f64 x y) x)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal -2 binary64)) x)) (/.f64 (-.f64 x y) x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (/.f64 (fma.f64 (/.f64 y x) y (-.f64 x y)) x))) |
(/.f64 (neg.f64 (*.f64 x (pow.f64 (/.f64 x (-.f64 x y)) #s(literal -2 binary64)))) (/.f64 (-.f64 x y) x)) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (fma.f64 (/.f64 y x) y (-.f64 x y)) x))) |
(/.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal -2 binary64)) x) (/.f64 (-.f64 x y) x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (/.f64 y x) y (-.f64 x y)) x)) |
(/.f64 (*.f64 x (pow.f64 (/.f64 x (-.f64 x y)) #s(literal -2 binary64))) (/.f64 (-.f64 x y) x)) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 y x) y (-.f64 x y)) x)) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (/.f64 y x) x)) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (/.f64 y x) x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 y x) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 y x) x)) |
(fma.f64 (/.f64 y x) x x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 y x))) |
(fma.f64 x (/.f64 y x) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 y x) x) x) |
(+.f64 (*.f64 x (/.f64 y x)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 y x) x)) |
(*.f64 (pow.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)))) |
(*.f64 x (pow.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)))))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)) x))) |
(/.f64 (neg.f64 x) (neg.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)) x)) |
(/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x))) |
(neg.f64 (/.f64 (neg.f64 x) #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)))) |
(neg.f64 (/.f64 x (neg.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)))) (/.f64 x (neg.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)) x)) #s(literal -1 binary64))) |
#s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal -2 binary64)) (/.f64 x (-.f64 x y))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 x y)) |
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y (-.f64 x y)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x)) |
(*.f64 (-.f64 x y) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (-.f64 x y) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x)) |
(pow.f64 (/.f64 (/.f64 (-.f64 x y) x) (pow.f64 (/.f64 x (-.f64 x y)) #s(literal -2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) y (-.f64 x y)) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (-.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (-.f64 x y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x y) x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 y x) y (-.f64 x y)) x))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 x y) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x (neg.f64 x)) (*.f64 x y))) (*.f64 x x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 x y)) (*.f64 x #s(literal 1 binary64)))) (neg.f64 (*.f64 x (/.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) (/.f64 (-.f64 x y) x)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal -2 binary64)))) (/.f64 (-.f64 x y) x)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 y x) y (-.f64 x y)) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y))) |
(/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal -2 binary64)) (/.f64 (-.f64 x y) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (/.f64 (-.f64 x y) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y (-.f64 x y)) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x y) x)) (neg.f64 (*.f64 x x))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal -2 binary64))) (/.f64 (-.f64 x y) x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 y x) y (-.f64 x y)) x))) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x)) (-.f64 x y)) |
(/.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) x)) |
(/.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (*.f64 x (neg.f64 x)) (*.f64 x y)) (*.f64 x (neg.f64 x))) |
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(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 y y)) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
(fabs.f64 (-.f64 (*.f64 y y) #s(literal 0 binary64))) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (/.f64 y (-.f64 x y))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x y))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 x (pow.f64 (-.f64 x y) #s(literal 2 binary64))) y)) |
(*.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) y) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 x y) y) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 x (pow.f64 (-.f64 x y) #s(literal 2 binary64))) y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (/.f64 y (-.f64 x y))) #s(literal 1 binary64)) (/.f64 x (-.f64 x y))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x)) y) |
(*.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) y)) x) |
(*.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 x y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (/.f64 y (-.f64 x y))) (-.f64 x y)) (neg.f64 x)) |
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(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (/.f64 y (-.f64 x y))) (/.f64 x (-.f64 x y))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 x y) #s(literal 2 binary64))) y) (pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 x y) #s(literal 2 binary64))) y) (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x))) |
(*.f64 (/.f64 x (-.f64 x y)) (*.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (/.f64 y (-.f64 x y)))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x))) (*.f64 (/.f64 x (pow.f64 (-.f64 x y) #s(literal 2 binary64))) y)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (neg.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 x y) #s(literal 2 binary64))) y))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (*.f64 (/.f64 x (pow.f64 (-.f64 x y) #s(literal 2 binary64))) y)) |
(*.f64 (/.f64 y (-.f64 x y)) (pow.f64 (/.f64 (/.f64 (-.f64 x y) x) (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64)))) |
(pow.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 x y) y) x) (/.f64 (-.f64 x y) x)) (/.f64 (*.f64 (/.f64 (-.f64 x y) x) y) (/.f64 (-.f64 x y) x))) (/.f64 (-.f64 x y) y)) |
(/.f64 (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 x y) x) y) (/.f64 (-.f64 x y) x)) (/.f64 (*.f64 (/.f64 (-.f64 x y) y) x) (/.f64 (-.f64 x y) x))) (/.f64 (-.f64 x y) y)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (/.f64 y (-.f64 x y))) (-.f64 x y))) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 x y) x) y) #s(literal 3 binary64))) (*.f64 (/.f64 x (pow.f64 (-.f64 x y) #s(literal 2 binary64))) y))) (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x y) y) x) (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (pow.f64 (*.f64 (/.f64 (-.f64 x y) x) y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) y)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (/.f64 y (-.f64 x y))))) (/.f64 (-.f64 x y) x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x))))) (/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 x y) y) x) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 x y) x) y) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x y) y) x) (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (pow.f64 (*.f64 (/.f64 (-.f64 x y) x) y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x y) x) y) (/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) y) (*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) y) (*.f64 (/.f64 (-.f64 x y) y) x)))) (neg.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (-.f64 x y) x) y)) (*.f64 (/.f64 (-.f64 x y) y) x)) (/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) y)) |
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (/.f64 y (-.f64 x y))) (-.f64 x y)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (/.f64 (-.f64 x y) x)) (/.f64 (-.f64 x y) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 x y) y) x) #s(literal 2 binary64))) (*.f64 (/.f64 x (pow.f64 (-.f64 x y) #s(literal 2 binary64))) y)) (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 x y) x) y) #s(literal 3 binary64))) (*.f64 (/.f64 x (pow.f64 (-.f64 x y) #s(literal 2 binary64))) y)) (fma.f64 (*.f64 (/.f64 (-.f64 x y) y) x) (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (pow.f64 (*.f64 (/.f64 (-.f64 x y) x) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) y)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 x y) y) x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) y)))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (/.f64 y (-.f64 x y)))) (/.f64 (-.f64 x y) x)) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 x y) y) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 x y) x) y) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x y) y) x) (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (pow.f64 (*.f64 (/.f64 (-.f64 x y) x) y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) y))) |
(/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x y) x) y) (/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) y) (*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) y) (*.f64 (/.f64 (-.f64 x y) y) x))) (pow.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) y) #s(literal 2 binary64))) |
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(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 x y) x) y) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x y) y) x) (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x)) (pow.f64 (*.f64 (/.f64 (-.f64 x y) x) y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) y))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 x y) x) y (*.f64 (/.f64 (-.f64 x y) y) x))) (/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) y)) |
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64))) #s(literal -1 binary64))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (-.f64 x y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 (fma.f64 (/.f64 x y) (/.f64 (-.f64 x y) y) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 y y))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y (-.f64 x y))) |
(/.f64 (/.f64 (-.f64 x y) y) y) |
(/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (neg.f64 (*.f64 (-.f64 x y) (*.f64 y y)))) |
(/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (-.f64 x y) (*.f64 y y))) |
(/.f64 (-.f64 x y) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (-.f64 x y))) |
(neg.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x y))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 x y) y))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x y) y)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x y) y))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 (/.f64 x y) y)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 x y) y))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x y) y)) |
(fma.f64 y (pow.f64 y #s(literal -2 binary64)) (neg.f64 (/.f64 (/.f64 x y) y))) |
(fma.f64 y (pow.f64 y #s(literal -2 binary64)) (/.f64 (/.f64 x y) y)) |
(-.f64 (/.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 y y)) (pow.f64 y #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (*.f64 y y)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (*.f64 y y))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (*.f64 y y)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (*.f64 y y))) |
(-.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x y))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x y) y))))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x y) y)))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 y #s(literal 4 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x y) y) y)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) y) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x y))) |
(-.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 x y) (*.f64 y y))) (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (*.f64 y y)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 x y) (/.f64 (-.f64 x y) y) #s(literal 1 binary64)) y)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (fma.f64 (/.f64 x y) (/.f64 (-.f64 x y) y) #s(literal 1 binary64)) y))) |
(-.f64 (/.f64 (/.f64 y (-.f64 x y)) y) (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) y)) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 x y) (/.f64 (-.f64 x y) y) #s(literal 1 binary64)) #s(literal -1 binary64)) y) (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (/.f64 (-.f64 x y) y) #s(literal 1 binary64))) y)) |
(-.f64 (/.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (*.f64 y y)) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 y y))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 y y)) (/.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (*.f64 y y))) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x y))) |
(-.f64 (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) |
(-.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 y (/.f64 x y)) (*.f64 y y))) |
(-.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x y) y)) |
(exp.f64 (*.f64 (-.f64 (log.f64 y) (log1p.f64 (/.f64 x y))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 x y) y))) |
(+.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x y) y)) |
(*.f64 (*.f64 (-.f64 x y) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x y) y) x) |
(*.f64 (-.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 (-.f64 x y) y)) |
(pow.f64 (/.f64 y (*.f64 (-.f64 x y) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x y) x))) y) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (/.f64 y (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x y) x)) y) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 x y) x) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (-.f64 x y) x)))) |
(/.f64 (neg.f64 x) (/.f64 y (-.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 x y) x))) |
(/.f64 x (/.f64 y (-.f64 x y))) |
(neg.f64 (*.f64 (/.f64 (-.f64 x y) y) x)) |
(-.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x y) y)) |
Compiled 42 488 to 5 304 computations (87.5% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 333 | 1 | 1 334 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 333 | 9 | 1 342 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.3% | (/.f64 x (/.f64 (fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) (*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 x y) x)))) |
| ✓ | 61.9% | (/.f64 x (/.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (-.f64 x y))) |
| ✓ | 100.0% | (/.f64 x (+.f64 y x)) |
| ▶ | 99.5% | (/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x))) |
| ✓ | 99.5% | (/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))) |
| ✓ | 15.4% | #s(approx (/ x (+ y x)) (/.f64 x (neg.f64 y))) |
| ✓ | 51.6% | #s(approx (/ x (+ y x)) (/.f64 x y)) |
| ✓ | 37.6% | #s(approx (/ x (+ y x)) (*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) x)) |
| ✓ | 49.3% | #s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
Compiled 144 to 82 computations (43.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)) | |
| cost-diff | 0 | (/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x))) | |
| cost-diff | 896 | (fma.f64 (/.f64 y x) x x) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 57 |
| 0 | 16 | 57 |
| 1 | 35 | 57 |
| 2 | 78 | 48 |
| 3 | 201 | 40 |
| 4 | 680 | 40 |
| 5 | 3250 | 40 |
| 6 | 5946 | 40 |
| 0 | 8023 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x))) |
x |
#s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)) |
(fma.f64 (/.f64 y x) x x) |
(/.f64 y x) |
y |
| Outputs |
|---|
(/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x))) |
(/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 y x))) |
x |
#s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)) |
#s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 y x)) |
(fma.f64 (/.f64 y x) x x) |
(+.f64 y x) |
(/.f64 y x) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)) | |
| accuracy | 0.01953125 | (/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x))) | |
| accuracy | 7.745925281825563 | (fma.f64 (/.f64 y x) x x) |
| 25.0ms | 256× | 0 | valid |
Compiled 103 to 26 computations (74.8% saved)
ival-div: 9.0ms (50.2% of total)ival-mult: 5.0ms (27.9% of total)ival-sub: 3.0ms (16.7% of total)ival-add: 1.0ms (5.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 y x) x x) |
(/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x))) |
#s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)) |
(/.f64 y x) |
| Outputs |
|---|
y |
(+ x y) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ 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))) |
(/ y x) |
x |
(* x (+ 1 (/ y x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -2 (pow y 2)) (pow y 2)))) (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2))))) (pow x 3)))) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow y 2) x))) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (/ (* y (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(- y (* -1 x)) |
(* y (+ 1 (/ x y))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (pow y 3)))) (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)))) y) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (/ (pow x 4) y)) y)) (* -1 (pow x 2))) y))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((+ (* (/ y x) x) x) (/ x (- (* y (/ y (- y x))) (* x (/ x (- y x))))) (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (/ y x)) |
| 1.0ms | y | @ | inf | ((+ (* (/ y x) x) x) (/ x (- (* y (/ y (- y x))) (* x (/ x (- y x))))) (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (/ y x)) |
| 1.0ms | x | @ | -inf | ((+ (* (/ y x) x) x) (/ x (- (* y (/ y (- y x))) (* x (/ x (- y x))))) (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (/ y x)) |
| 1.0ms | x | @ | 0 | ((+ (* (/ y x) x) x) (/ x (- (* y (/ y (- y x))) (* x (/ x (- y x))))) (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (/ y x)) |
| 1.0ms | y | @ | 0 | ((+ (* (/ y x) x) x) (/ x (- (* y (/ y (- y x))) (* x (/ x (- y x))))) (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (/ y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 175 | 507 |
| 1 | 635 | 344 |
| 2 | 2690 | 295 |
| 0 | 8494 | 275 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ x y) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ 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))) |
(/ y x) |
x |
(* x (+ 1 (/ y x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -2 (pow y 2)) (pow y 2)))) (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2))))) (pow x 3)))) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow y 2) x))) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (/ (* y (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(- y (* -1 x)) |
(* y (+ 1 (/ x y))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (pow y 3)))) (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)))) y) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (/ (pow x 4) y)) y)) (* -1 (pow x 2))) y))) y)) |
| Outputs |
|---|
y |
(+ x y) |
(+.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y y)) x (/.f64 #s(literal 1 binary64) y)) x) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
(/ y x) |
(/.f64 y x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(- (+ 1 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) y #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -2 (pow y 2)) (pow y 2)))) (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2))))) (pow x 3)))) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow y 2) x))) (* -1 y)) x))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (/ (* y (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(- y (* -1 x)) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 2)))) (/ (pow x 2) y)) y) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (+.f64 #s(literal -1 binary64) (/.f64 x y)) x) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (pow y 3)))) (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)))) y) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y)))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (+.f64 #s(literal -1 binary64) (/.f64 x y)) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (/ (pow x 4) y)) y)) (* -1 (pow x 2))) y))) y)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 55 |
| 0 | 16 | 55 |
| 1 | 89 | 31 |
| 2 | 745 | 22 |
| 0 | 9118 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y x) x x) |
(/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x))) |
#s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x)) |
(/.f64 y x) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))) |
(*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)))) |
(*.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) (-.f64 y x) (*.f64 (-.f64 x y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x)) (*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x)))) |
(*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (+.f64 x y) (-.f64 (*.f64 (/.f64 y (+.f64 x y)) (/.f64 y (-.f64 y x))) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) |
(*.f64 #s(literal 1 binary64) (+.f64 x y)) |
(*.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64))) (*.f64 (+.f64 x y) (pow.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (+.f64 x y) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(pow.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))) (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))))) (fma.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))))) (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (*.f64 (/.f64 y (-.f64 y x)) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))) (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (*.f64 (/.f64 y (-.f64 y x)) y))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))))))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)) (+.f64 x y))) (neg.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (-.f64 y x) (*.f64 (-.f64 x y) (*.f64 x x)))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 y x)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))) |
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(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 x y)) x)) |
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x y)) x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) y) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (-.f64 y x)) x) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x y) x) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 y y) (*.f64 (/.f64 x (-.f64 x y)) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 x y)) x) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 y x)) y) (*.f64 (/.f64 x (-.f64 x y)) x)) |
(fma.f64 #s(literal 1 binary64) x y) |
(fma.f64 #s(literal 1 binary64) y x) |
(fma.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))))) |
(fma.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))) (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64))) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x)))) |
(fma.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 x y) (pow.f64 x #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 x y)) x)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(fma.f64 (neg.f64 x) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 x)) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 (neg.f64 x) (/.f64 x (-.f64 y x)) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) (*.f64 (/.f64 x (-.f64 x y)) x)) |
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) x) x) |
(fma.f64 (neg.f64 y) (/.f64 y (-.f64 x y)) (*.f64 (/.f64 x (-.f64 x y)) x)) |
(fma.f64 (/.f64 x (-.f64 y x)) (neg.f64 x) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 (/.f64 y (-.f64 y x)) y (*.f64 (/.f64 x (-.f64 x y)) x)) |
(fma.f64 (/.f64 y x) x x) |
(fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 x #s(literal 1 binary64) y) |
(fma.f64 x (/.f64 y x) x) |
(fma.f64 y #s(literal 1 binary64) x) |
(fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 (/.f64 x (-.f64 x y)) x)) |
(-.f64 (fma.f64 (/.f64 y (-.f64 y x)) y #s(literal 0 binary64)) (*.f64 (/.f64 x (-.f64 y x)) x)) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (-.f64 y x) x) x) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 x (-.f64 y x)) x) (*.f64 (/.f64 y (-.f64 y x)) y))) |
(-.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (*.f64 (/.f64 y (-.f64 x y)) y)) |
(-.f64 (*.f64 (/.f64 y (-.f64 y x)) y) (*.f64 (/.f64 x (-.f64 x y)) (neg.f64 x))) |
(-.f64 (*.f64 (/.f64 y (-.f64 y x)) y) (*.f64 (/.f64 x (-.f64 y x)) x)) |
(-.f64 x (neg.f64 y)) |
(-.f64 y (neg.f64 x)) |
(+.f64 (-.f64 y #s(literal 0 binary64)) x) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))) (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64))) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(+.f64 (*.f64 (/.f64 y (-.f64 y x)) y) (*.f64 (/.f64 x (-.f64 x y)) x)) |
(+.f64 x y) |
(+.f64 y x) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)) x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)))) |
(*.f64 (pow.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)) #s(literal -1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)))) |
(*.f64 x (pow.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)) x)) |
(/.f64 (neg.f64 x) (neg.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)))) |
(/.f64 (/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y))) #s(literal 1 binary64)) |
(/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)) x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y))))) |
(neg.f64 (/.f64 (neg.f64 x) #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)))) (/.f64 (neg.f64 x) #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)))) |
(*.f64 #s(literal 1 binary64) #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y))) |
(*.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)) #s(literal 1 binary64)) |
#s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y))) #s(literal -1 binary64)) |
(/.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) y) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 y (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 y (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 y x) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) |
Compiled 10 679 to 1 125 computations (89.5% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 259 | 1 | 260 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 7 | 8 |
| Total | 261 | 8 | 269 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 61.9% | (/.f64 x (/.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (-.f64 x y))) |
| ✓ | 100.0% | (/.f64 x (+.f64 y x)) |
| ✓ | 99.5% | (/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))) |
| 99.7% | (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)))) | |
| ✓ | 15.4% | #s(approx (/ x (+ y x)) (/.f64 x (neg.f64 y))) |
| ✓ | 51.6% | #s(approx (/ x (+ y x)) (/.f64 x y)) |
| ✓ | 37.6% | #s(approx (/ x (+ y x)) (*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) x)) |
| ✓ | 49.3% | #s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
Compiled 324 to 141 computations (56.5% saved)
| Inputs |
|---|
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
#s(approx (/ x (+ y x)) (/.f64 x (neg.f64 y))) |
(/.f64 x (+.f64 y x)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)))) |
#s(approx (/ x (+ y x)) (*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) x)) |
(/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x))) |
#s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) |
(/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))) |
(/.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)) |
(/.f64 x (/.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (-.f64 x y))) |
(/.f64 x (-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))) |
(/.f64 x (/.f64 (fma.f64 y (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 y x) y) x)) (*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 x y) x)))) |
| Outputs |
|---|
(/.f64 x (-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))) |
3 calls:
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (/.f64 x (+.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 x (+.f64 y x)) |
Compiled 7 to 8 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
#s(approx (/ x (+ y x)) (/.f64 x (neg.f64 y))) |
(/.f64 x (+.f64 y x)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (+.f64 x y)))) |
#s(approx (/ x (+ y x)) (*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y))) x)) |
(/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (fma.f64 (/.f64 y x) x x))) |
#s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) |
(/.f64 x #s(approx (- (* y (/ y (- y x))) (* x (/ x (- y x)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))) |
(/.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)) |
(/.f64 x (/.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (-.f64 x y))) |
| Outputs |
|---|
(/.f64 x (+.f64 y x)) |
3 calls:
| 14.0ms | (/.f64 x (+.f64 y x)) |
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 x (+.f64 y x)) |
Compiled 7 to 8 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
#s(approx (/ x (+ y x)) (/.f64 x (neg.f64 y))) |
| Outputs |
|---|
#s(approx (/ x (+ y x)) (/.f64 x y)) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 x (+.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.0% | 3 | x |
| 76.7% | 3 | y |
| 97.6% | 2 | (/.f64 x (+.f64 y x)) |
Compiled 7 to 8 computations (-14.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 x (+.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.3% | 1 | y |
| 49.3% | 1 | x |
| 49.3% | 1 | (/.f64 x (+.f64 y x)) |
Compiled 7 to 8 computations (-14.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.1954453884379825e-5 | 0.7928985046006453 |
Compiled 8 to 9 computations (-12.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 53 |
| 1 | 32 | 53 |
| 2 | 47 | 53 |
| 3 | 79 | 53 |
| 4 | 162 | 53 |
| 5 | 246 | 53 |
| 6 | 344 | 53 |
| 7 | 413 | 53 |
| 8 | 446 | 53 |
| 9 | 456 | 53 |
| 10 | 457 | 53 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))) |
(/.f64 x (+.f64 y x)) |
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 5902958103587057/147573952589676412928 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 x (-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))) |
(/.f64 x (-.f64 (*.f64 (/.f64 y (-.f64 y x)) y) (*.f64 (/.f64 x (-.f64 y x)) x))) |
(/.f64 x (+.f64 y x)) |
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 5902958103587057/147573952589676412928 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 304 |
| 1 | 400 | 280 |
| 2 | 1230 | 250 |
| 3 | 5594 | 249 |
| 0 | 8199 | 237 |
| 0 | 4 | 8 |
| 0 | 6 | 8 |
| 1 | 28 | 8 |
| 2 | 204 | 8 |
| 3 | 2173 | 8 |
| 0 | 10568 | 8 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 58 to 29 computations (50% saved)
Compiled 116 to 48 computations (58.6% saved)
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