
Time bar (total: 6.2s)
| 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 9 to 7 computations (22.2% saved)
| 1.2s | 8 256× | 0 | valid |
ival-div: 205.0ms (46.5% of total)ival-sub: 187.0ms (42.4% of total)ival-add: 39.0ms (8.9% of total)ival-true: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 x y) (+.f64 x y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 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 |
| 40.0ms | 512× | 0 | valid |
Compiled 41 to 19 computations (53.7% saved)
ival-sub: 3.0ms (32.6% of total)ival-div: 3.0ms (32.6% of total)ival-add: 3.0ms (32.6% 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 | 15 | 41 |
| 1 | 50 | 37 |
| 2 | 122 | 35 |
| 3 | 327 | 35 |
| 4 | 843 | 35 |
| 5 | 1373 | 35 |
| 6 | 1422 | 35 |
| 7 | 1462 | 35 |
| 8 | 1505 | 35 |
| 9 | 1517 | 35 |
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 14 | 7 |
| 2 | 21 | 7 |
| 3 | 33 | 7 |
| 4 | 60 | 7 |
| 5 | 104 | 7 |
| 6 | 171 | 7 |
| 7 | 282 | 7 |
| 8 | 475 | 7 |
| 9 | 808 | 7 |
| 10 | 817 | 7 |
| 11 | 855 | 7 |
| 12 | 884 | 7 |
| 0 | 884 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
(/.f64 (-.f64 x y) (+.f64 y x)) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 0 | 8 | 15 |
| 1 | 14 | 15 |
| 2 | 21 | 15 |
| 3 | 33 | 15 |
| 4 | 60 | 15 |
| 5 | 104 | 15 |
| 6 | 171 | 15 |
| 7 | 282 | 15 |
| 8 | 475 | 15 |
| 9 | 808 | 15 |
| 10 | 817 | 15 |
| 11 | 855 | 15 |
| 12 | 884 | 15 |
| 0 | 884 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
(-.f64 x y) |
x |
y |
(+.f64 x y) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
(/.f64 (-.f64 x y) (+.f64 y x)) |
(-.f64 x y) |
x |
y |
(+.f64 x y) |
(+.f64 y x) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.041347509768442016 | (/.f64 (-.f64 x y) (+.f64 x y)) |
| 10.0ms | 256× | 0 | valid |
Compiled 17 to 7 computations (58.8% saved)
ival-div: 2.0ms (45.5% of total)ival-sub: 1.0ms (22.7% of total)ival-add: 1.0ms (22.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
(-.f64 x y) |
(+.f64 x y) |
| Outputs |
|---|
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(* -1 y) |
(- x y) |
y |
(+ x y) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (/ y x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(+ x (* -1 y)) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(* y (- (/ x y) 1)) |
(* y (+ 1 (/ x y))) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ (- x y) (+ x y)) (- x y) (+ x y)) |
| 1.0ms | y | @ | inf | ((/ (- x y) (+ x y)) (- x y) (+ x y)) |
| 1.0ms | y | @ | -inf | ((/ (- x y) (+ x y)) (- x y) (+ x y)) |
| 1.0ms | x | @ | -inf | ((/ (- x y) (+ x y)) (- x y) (+ x y)) |
| 0.0ms | x | @ | 0 | ((/ (- x y) (+ x y)) (- x y) (+ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 362 |
| 1 | 439 | 335 |
| 2 | 1238 | 290 |
| 3 | 4833 | 278 |
| 0 | 8359 | 255 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(* -1 y) |
(- x y) |
y |
(+ x y) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (/ y x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(+ x (* -1 y)) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(* y (- (/ x y) 1)) |
(* y (+ 1 (/ x y))) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ x y)) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
y |
(+ x y) |
(+.f64 y x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(+ 1 (* -2 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 39 | 13 |
| 2 | 309 | 13 |
| 3 | 5194 | 13 |
| 0 | 8715 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
(-.f64 x y) |
(+.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x (-.f64 x y)) (*.f64 y y))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 x y) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y 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 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 (-.f64 y x) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 y x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 y x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 y x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.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)))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))) |
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(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (fma.f64 (neg.f64 y) y (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 y x))) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 x y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y x))) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(/.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (+.f64 y x) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (+.f64 y x))) |
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 x (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y x))) |
(fma.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y))) |
(fma.f64 (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (+.f64 y x) x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 y x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) x) |
(fma.f64 #s(literal 1 binary64) y (neg.f64 (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) y x) |
(fma.f64 #s(literal 1 binary64) x y) |
(fma.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 1 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 1 binary64))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) |
(-.f64 x (neg.f64 y)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (-.f64 x #s(literal 0 binary64)) y) |
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y x))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y))) |
(+.f64 (neg.f64 (neg.f64 x)) y) |
(+.f64 (*.f64 #s(literal 1 binary64) x) y) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(+.f64 y (neg.f64 (neg.f64 x))) |
(+.f64 y (*.f64 #s(literal 1 binary64) x)) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 11 952 to 1 251 computations (89.5% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 499 | 9 | 508 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 499 | 10 | 509 |
| Status | Accuracy | Program |
|---|---|---|
| 72.2% | (/.f64 (-.f64 (+.f64 y x) (*.f64 (/.f64 (+.f64 y x) x) y)) (*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x))) | |
| ✓ | 99.9% | (/.f64 (-.f64 x y) (+.f64 x y)) |
| ▶ | 51.2% | (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
| ▶ | 100.0% | (-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x))) |
| 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) | |
| ▶ | 50.5% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
| 51.9% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) | |
| ▶ | 50.8% | #s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))) |
| 49.1% | #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) | |
| ▶ | 50.1% | #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
Compiled 241 to 157 computations (34.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y) | |
| cost-diff | 0 | #s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))) | |
| cost-diff | 1 | (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- x y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 y (+.f64 y x)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 x (+.f64 y x)) | |
| cost-diff | 4 | (-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 150 |
| 0 | 43 | 146 |
| 1 | 75 | 146 |
| 2 | 118 | 146 |
| 3 | 193 | 146 |
| 4 | 415 | 146 |
| 5 | 957 | 146 |
| 6 | 1876 | 146 |
| 7 | 3662 | 146 |
| 8 | 4401 | 146 |
| 9 | 4657 | 146 |
| 10 | 4759 | 146 |
| 11 | 4798 | 146 |
| 12 | 4823 | 146 |
| 13 | 5266 | 146 |
| 14 | 5459 | 146 |
| 15 | 5459 | 146 |
| 16 | 5459 | 146 |
| 17 | 5487 | 146 |
| 18 | 5527 | 146 |
| 19 | 5543 | 146 |
| 20 | 5543 | 146 |
| 21 | 5583 | 146 |
| 22 | 5861 | 146 |
| 0 | 5861 | 144 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x))) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
(/.f64 y (+.f64 y x)) |
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
(+.f64 x y) |
x |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)) |
#s(literal -1 binary64) |
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y) |
(*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) |
x |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
#s(literal -2 binary64) |
| Outputs |
|---|
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x))) |
(/.f64 (-.f64 x y) (+.f64 y x)) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
(/.f64 y (+.f64 y x)) |
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 y x)) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
(+.f64 x y) |
(+.f64 y x) |
x |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64)) (/.f64 x y) #s(literal -1 binary64))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)) |
(fma.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64)) (/.f64 x y) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) y) x) |
(*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) x) |
x |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
#s(literal -2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.078125 | (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) | |
| accuracy | 0.1015625 | (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) | |
| accuracy | 2.6141871748846337 | (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y) | |
| accuracy | 31.478687001889767 | #s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))) | |
| accuracy | 0.0 | (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 31.694277230124733 | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.041347509768442016 | (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) | |
| accuracy | 31.37065572629775 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 31.906768233314242 | #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.0078125 | (/.f64 y (+.f64 y x)) | |
| accuracy | 0.01171875 | (-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x))) | |
| accuracy | 0.0234375 | (/.f64 x (+.f64 y x)) |
| 39.0ms | 256× | 0 | valid |
Compiled 129 to 25 computations (80.6% saved)
ival-div: 10.0ms (41.3% of total)ival-add: 5.0ms (20.6% of total)ival-mult: 5.0ms (20.6% of total)ival-sub: 3.0ms (12.4% of total)ival-neg: 1.0ms (4.1% 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 x (+.f64 y x)) (/.f64 y (+.f64 y x))) |
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
(/.f64 y (+.f64 y x)) |
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
(+.f64 x y) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(/.f64 y x) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)) |
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))) |
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y) |
(*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) |
| Outputs |
|---|
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(/ 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 (/ x y))) |
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y)))) |
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(* -1 y) |
(- x y) |
(* -2 (/ y x)) |
(/ (+ x (* -2 y)) x) |
(/ y x) |
(* -2 (/ x y)) |
(* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))) |
(* -2 x) |
(* x (- (* 2 (/ x y)) 2)) |
-2 |
(- (* 2 (/ x y)) 2) |
(+ 1 (* -2 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x)))) |
(- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 3) (pow x 3))))) |
(+ 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))) |
(/ (+ y (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x) |
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x) |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (/ 2 (* x y)) (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) |
(* 2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (* x y))))) |
(* 2 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))) |
(* 2 (/ x y)) |
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))) |
(+ 1 (* -1 (/ (- y (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (+ y (* -2 (/ (pow y 2) x))) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) 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 (/ (+ (* -1 y) (/ (pow y 2) x)) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(* -1 (* x (- (/ y x) 1))) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 2 (/ 1 y))) x)) (* 2 (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 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 (/ y (pow x 2))) (/ 1 x))) |
(* y (+ (* y (- (/ 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))) |
(+ x (* -1 y)) |
(/ (- (* 2 (* x y)) (* 2 (pow x 2))) (pow y 2)) |
(/ (- (* y (- (* -1 y) (* -2 x))) (* 2 (pow x 2))) (pow y 2)) |
(/ (+ (* -2 (* x y)) (* 2 (pow x 2))) (pow y 2)) |
(/ (+ (* -2 (* x y)) (* 2 (pow x 2))) y) |
(/ (+ (* -2 y) (* 2 x)) y) |
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2)))) |
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2))))) |
(/ (+ 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 (/ (pow x 2) (pow y 2))) (/ x y)) |
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(* y (- (/ x y) 1)) |
(* y (- (/ 1 y) (* 2 (/ 1 x)))) |
(- (* -2 (/ (pow x 2) (pow y 2))) (+ 1 (* -2 (/ x y)))) |
(/ (+ (* -2 x) (* 2 (/ (pow x 2) y))) y) |
(+ (* -2 x) (* 2 (/ (pow x 2) y))) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1) |
(* -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))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y)))) |
(- (* -1 (/ (- (* 2 (/ (pow x 2) y)) (* 2 x)) y)) 1) |
(* -1 (/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((- (/ x (+ y x)) (/ y (+ y x))) (/ x (+ y x)) (+ y x) (/ y (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (- x y) (+ x y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (* x (+ (* (/ 2 y) x) -2)) (+ (* (/ 2 y) x) -2)) |
| 3.0ms | x | @ | -inf | ((- (/ x (+ y x)) (/ y (+ y x))) (/ x (+ y x)) (+ y x) (/ y (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (- x y) (+ x y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (* x (+ (* (/ 2 y) x) -2)) (+ (* (/ 2 y) x) -2)) |
| 3.0ms | y | @ | -inf | ((- (/ x (+ y x)) (/ y (+ y x))) (/ x (+ y x)) (+ y x) (/ y (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (- x y) (+ x y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (* x (+ (* (/ 2 y) x) -2)) (+ (* (/ 2 y) x) -2)) |
| 3.0ms | y | @ | inf | ((- (/ x (+ y x)) (/ y (+ y x))) (/ x (+ y x)) (+ y x) (/ y (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (- x y) (+ x y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (* x (+ (* (/ 2 y) x) -2)) (+ (* (/ 2 y) x) -2)) |
| 2.0ms | x | @ | 0 | ((- (/ x (+ y x)) (/ y (+ y x))) (/ x (+ y x)) (+ y x) (/ y (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (- x y) (+ x y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (* x (+ (* (/ 2 y) x) -2)) (+ (* (/ 2 y) x) -2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 425 | 1500 |
| 1 | 1353 | 1421 |
| 2 | 3838 | 1244 |
| 0 | 8712 | 1165 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(/ 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 (/ x y))) |
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y)))) |
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(* -1 y) |
(- x y) |
(* -2 (/ y x)) |
(/ (+ x (* -2 y)) x) |
(/ y x) |
(* -2 (/ x y)) |
(* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))) |
(* -2 x) |
(* x (- (* 2 (/ x y)) 2)) |
-2 |
(- (* 2 (/ x y)) 2) |
(+ 1 (* -2 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x)))) |
(- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 3) (pow x 3))))) |
(+ 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))) |
(/ (+ y (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x) |
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x) |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (/ 2 (* x y)) (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) |
(* 2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (* x y))))) |
(* 2 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))) |
(* 2 (/ x y)) |
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))) |
(+ 1 (* -1 (/ (- y (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (+ y (* -2 (/ (pow y 2) x))) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) 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 (/ (+ (* -1 y) (/ (pow y 2) x)) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(* -1 (* x (- (/ y x) 1))) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 2 (/ 1 y))) x)) (* 2 (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 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 (/ y (pow x 2))) (/ 1 x))) |
(* y (+ (* y (- (/ 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))) |
(+ x (* -1 y)) |
(/ (- (* 2 (* x y)) (* 2 (pow x 2))) (pow y 2)) |
(/ (- (* y (- (* -1 y) (* -2 x))) (* 2 (pow x 2))) (pow y 2)) |
(/ (+ (* -2 (* x y)) (* 2 (pow x 2))) (pow y 2)) |
(/ (+ (* -2 (* x y)) (* 2 (pow x 2))) y) |
(/ (+ (* -2 y) (* 2 x)) y) |
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2)))) |
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2))))) |
(/ (+ 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 (/ (pow x 2) (pow y 2))) (/ x y)) |
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(* y (- (/ x y) 1)) |
(* y (- (/ 1 y) (* 2 (/ 1 x)))) |
(- (* -2 (/ (pow x 2) (pow y 2))) (+ 1 (* -2 (/ x y)))) |
(/ (+ (* -2 x) (* 2 (/ (pow x 2) y))) y) |
(+ (* -2 x) (* 2 (/ (pow x 2) y))) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1) |
(* -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))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y)))) |
(- (* -1 (/ (- (* 2 (/ (pow x 2) y)) (* 2 x)) y)) 1) |
(* -1 (/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ x y)) 1) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) y) #s(literal -1 binary64)) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) x (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 (/.f64 #s(literal -1 binary64) y) y)) x (/.f64 #s(literal 1 binary64) y)) x) |
y |
(+ x y) |
(+.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y)))) |
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(* -2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal -2 binary64)) |
(/ (+ x (* -2 y)) x) |
(/.f64 (fma.f64 #s(literal -2 binary64) y x) x) |
(/ y x) |
(/.f64 y x) |
(* -2 (/ x y)) |
(*.f64 #s(literal -2 binary64) (/.f64 x y)) |
(* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) x) y) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* 2 (/ x y)) 2)) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) x) |
-2 |
#s(literal -2 binary64) |
(- (* 2 (/ x y)) 2) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) |
(+ 1 (* -2 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 3) (pow x 3))))) |
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y x) #s(literal -2 binary64)) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 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 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ 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)))) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(/ (+ y (* -1 (/ (pow y 2) x))) x) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x) |
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x) |
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) (-.f64 (/.f64 y x) #s(literal 1 binary64)) y) x) |
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 y y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x) y)) x) |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -2 (/ (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal -2 binary64)) |
(* (pow x 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 (/.f64 #s(literal 2 binary64) y) y)) (*.f64 x x)) |
(* (pow x 2) (- (/ 2 (* x y)) (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)) x)) (*.f64 x x)) |
(* 2 (/ (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal 2 binary64)) |
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) (/.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 x x)) |
(* 2 (/ (pow x 2) y)) |
(*.f64 (*.f64 x (/.f64 x y)) #s(literal 2 binary64)) |
(* (pow x 2) (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x)) |
(* 2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2 binary64) x)) x) |
(+ 1 (* -1 (/ (- y (* -1 y)) x))) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ y (* -2 (/ (pow y 2) x))) (* -1 y)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64))) x)) |
(+ 1 (* -1 (/ (- (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) (* -1 y)) x))) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (*.f64 (*.f64 y y) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64))) x)) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -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 x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x)) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x)) |
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) (-.f64 (/.f64 y x) #s(literal 1 binary64)) y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 y y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x) y)) x) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64))) x)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (*.f64 (*.f64 y y) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64))) x)) x) #s(literal 1 binary64)) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 2 (/ 1 y))) x)) (* 2 (/ 1 (pow y 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)) x)) (*.f64 x x)) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2 binary64) x)) x) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #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 (/ y (pow x 2))) (/ 1 x))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x) |
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))) |
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) (-.f64 (/.f64 y x) #s(literal 1 binary64)) y) x) |
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y (/.f64 #s(literal -1 binary64) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)) y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(/ (- (* 2 (* x y)) (* 2 (pow x 2))) (pow y 2)) |
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64))) y) |
(/ (- (* y (- (* -1 y) (* -2 x))) (* 2 (pow x 2))) (pow y 2)) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y x))) (*.f64 y y)) |
(/ (+ (* -2 (* x y)) (* 2 (pow x 2))) (pow y 2)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)) |
(/ (+ (* -2 (* x y)) (* 2 (pow x 2))) y) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) y) |
(/ (+ (* -2 y) (* 2 x)) y) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x y)) y) |
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) y) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2))))) |
(-.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 1 binary64))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) |
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) |
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) y) #s(literal -1 binary64)) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(fma.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(* y (- (/ x y) 1)) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* y (- (/ 1 y) (* 2 (/ 1 x)))) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(- (* -2 (/ (pow x 2) (pow y 2))) (+ 1 (* -2 (/ x y)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) y) #s(literal -1 binary64)) |
(/ (+ (* -2 x) (* 2 (/ (pow x 2) y))) y) |
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) x) y) |
(+ (* -2 x) (* 2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) x) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) y) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64))) y)) y)) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) |
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) |
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) y) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64))) y)) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y)))) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(- (* -1 (/ (- (* 2 (/ (pow x 2) y)) (* 2 x)) y)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) y) #s(literal -1 binary64)) |
(* -1 (/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y)) |
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) x) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 133 |
| 0 | 43 | 129 |
| 1 | 202 | 129 |
| 2 | 1668 | 129 |
| 0 | 8129 | 129 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x))) |
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
(/.f64 y (+.f64 y x)) |
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
(+.f64 x y) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(/.f64 y x) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)) |
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))) |
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y) |
(*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 x y) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x y) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -4 binary64))) (neg.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -2 binary64)))))) |
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -2 binary64))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -2 binary64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -2 binary64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64))))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) x) #s(literal -2 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -2 binary64)) |
(fma.f64 x (/.f64 #s(literal 2 binary64) y) #s(literal -2 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) x))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -2 binary64)) |
(+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) |
Compiled 27 293 to 3 225 computations (88.2% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 964 | 3 | 967 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 967 | 10 | 977 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 (-.f64 x y) (+.f64 x y)) |
| ✓ | 51.2% | (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
| ✓ | 100.0% | (-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x))) |
| ▶ | 100.0% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) (/.f64 y (+.f64 y x))) |
| ▶ | 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
| ✓ | 50.5% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
| ▶ | 51.9% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) |
| ▶ | 42.5% | #s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))))) |
| ▶ | 49.1% | #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
| ✓ | 50.1% | #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
Compiled 207 to 143 computations (30.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))) | |
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))))) | |
| cost-diff | 1 | (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (+.f64 y x)) | |
| cost-diff | 2 | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 (+.f64 y x) x) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) | |
| cost-diff | 4 | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) (/.f64 y (+.f64 y x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 208 |
| 0 | 49 | 212 |
| 1 | 97 | 212 |
| 2 | 191 | 198 |
| 3 | 373 | 198 |
| 4 | 1060 | 198 |
| 5 | 3230 | 198 |
| 6 | 6409 | 198 |
| 7 | 7703 | 198 |
| 0 | 8009 | 191 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) (/.f64 y (+.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 y x) x) |
(+.f64 y x) |
y |
x |
(/.f64 y (+.f64 y x)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
#s(literal -1 binary64) |
(+.f64 y x) |
y |
x |
(-.f64 y x) |
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))))) |
(-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))) |
#s(literal -1 binary64) |
#s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(-.f64 y x) |
y |
(*.f64 y y) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) (/.f64 y (+.f64 y x))) |
(/.f64 (-.f64 x y) (+.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) |
(/.f64 x (+.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 y x) x) |
(/.f64 (+.f64 x y) x) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(/.f64 y (+.f64 y x)) |
(/.f64 y (+.f64 x y)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
(/.f64 (-.f64 x y) (+.f64 x y)) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
(/.f64 #s(literal -1 binary64) (+.f64 x y)) |
#s(literal -1 binary64) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(-.f64 y x) |
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))))) |
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) (/.f64 x y))))) |
(-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))) |
(-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) (/.f64 x y)))) |
#s(literal -1 binary64) |
#s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))) |
#s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) (/.f64 x y))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) (/.f64 x y)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) |
(*.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(-.f64 y x) |
y |
(*.f64 y y) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) | |
| accuracy | 17.524576294318642 | (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)) | |
| accuracy | 31.478687001889767 | #s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))))) | |
| accuracy | 0.0 | (-.f64 y x) | |
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.03515625 | (/.f64 #s(literal -1 binary64) (+.f64 y x)) | |
| accuracy | 0.140625 | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) | |
| accuracy | 0.0 | (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 30.809623737759775 | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) | |
| accuracy | 32.58155595831663 | #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 y (+.f64 y x)) | |
| accuracy | 0.01171875 | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) (/.f64 y (+.f64 y x))) | |
| accuracy | 0.015625 | (/.f64 (+.f64 y x) x) | |
| accuracy | 0.6215516157244915 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) |
| 78.0ms | 256× | 0 | valid |
Compiled 152 to 32 computations (78.9% saved)
ival-div: 37.0ms (64.3% of total)ival-mult: 10.0ms (17.4% of total)ival-add: 5.0ms (8.7% of total)ival-sub: 4.0ms (7% of total)exact: 1.0ms (1.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) (/.f64 y (+.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) |
(/.f64 (+.f64 y x) x) |
(+.f64 y x) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(/.f64 x y) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
(-.f64 y x) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)) |
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))))) |
(-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))) |
#s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))) |
(/.f64 y (+.f64 y x)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) |
| Outputs |
|---|
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(/ 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) |
y |
(+ x y) |
(/ -1 y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(+ y (* -1 x)) |
(* -2 (/ x y)) |
(* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y)))) |
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(* -2 (* x y)) |
(* x (+ (* -2 y) (* 2 x))) |
(+ 1 (* -2 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x)))) |
(- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 3) (pow x 3))))) |
(+ 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))) |
(+ 1 (/ y x)) |
x |
(* x (+ 1 (/ y x))) |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
(* 2 (/ x y)) |
(* x (- (* 2 (/ 1 y)) (/ 1 x))) |
(+ 1 (* -1 (/ (- y (* -1 y)) x))) |
(+ 1 (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2)))) |
(+ 1 (+ (* -1 (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2))))) |
(/ -1 x) |
(/ (- (/ y x) 1) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* 2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (* x y))))) |
(* -2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (/ 2 (* x y)) (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) |
(/ (+ y (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x) |
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* -2 (/ y x)))) |
(+ 1 (* -1 (/ (- (+ y (* -2 (/ (pow y 2) x))) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) 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 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y))))) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 2 (/ 1 y))) x)) (* 2 (/ 1 (pow y 2))))) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x)) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ (+ (* -1 y) (* 2 x)) y) |
(- (/ y (pow x 2)) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- y x) |
(/ (+ (* -2 (* x y)) (* 2 (pow x 2))) (pow y 2)) |
(/ (- (* 2 (* x y)) (* 2 (pow x 2))) (pow y 2)) |
(/ (- (* y (- (* -1 y) (* -2 x))) (* 2 (pow x 2))) (pow y 2)) |
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) |
(* y (+ (* y (- (/ 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))) |
(+ (* -2 (* x y)) (* 2 (pow x 2))) |
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2)))) |
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2))))) |
(/ (+ 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) (/ 1 y))) |
(* y (+ 1 (/ x y))) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (+ (* -1 (/ (- (* -1 x) x) y)) (/ (* x (- (* -1 x) x)) (pow y 2))) 1) |
(- (+ (* -1 (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ (* -1 (/ (- (* -1 x) x) y)) (/ (* x (- (* -1 x) x)) (pow y 2)))) 1) |
(/ (- (/ x y) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y) |
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(/ (+ (* -2 x) (* 2 (/ (pow x 2) y))) y) |
(- (* -2 (/ (pow x 2) (pow y 2))) (+ 1 (* -2 (/ x y)))) |
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) |
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) |
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y)))) |
(- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1) |
(* -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))) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y)) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y)) |
(- (* -1 (/ (- (* 2 (/ (pow x 2) y)) (* 2 x)) y)) 1) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) |
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | -inf | ((- (/ 1 (/ (+ y x) x)) (/ y (+ y x))) (/ 1 (/ (+ y x) x)) (/ (+ y x) x) (+ y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (- y x) (/ (* (* -2 x) (- y x)) (* y y)) (/ (- x y) (+ x y)) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (/ y (+ y x)) (* (* -2 x) (- y x))) |
| 8.0ms | y | @ | inf | ((- (/ 1 (/ (+ y x) x)) (/ y (+ y x))) (/ 1 (/ (+ y x) x)) (/ (+ y x) x) (+ y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (- y x) (/ (* (* -2 x) (- y x)) (* y y)) (/ (- x y) (+ x y)) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (/ y (+ y x)) (* (* -2 x) (- y x))) |
| 4.0ms | x | @ | 0 | ((- (/ 1 (/ (+ y x) x)) (/ y (+ y x))) (/ 1 (/ (+ y x) x)) (/ (+ y x) x) (+ y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (- y x) (/ (* (* -2 x) (- y x)) (* y y)) (/ (- x y) (+ x y)) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (/ y (+ y x)) (* (* -2 x) (- y x))) |
| 3.0ms | x | @ | inf | ((- (/ 1 (/ (+ y x) x)) (/ y (+ y x))) (/ 1 (/ (+ y x) x)) (/ (+ y x) x) (+ y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (- y x) (/ (* (* -2 x) (- y x)) (* y y)) (/ (- x y) (+ x y)) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (/ y (+ y x)) (* (* -2 x) (- y x))) |
| 2.0ms | x | @ | -inf | ((- (/ 1 (/ (+ y x) x)) (/ y (+ y x))) (/ 1 (/ (+ y x) x)) (/ (+ y x) x) (+ y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (- y x) (/ (* (* -2 x) (- y x)) (* y y)) (/ (- x y) (+ x y)) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (/ y (+ y x)) (* (* -2 x) (- y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 477 | 1880 |
| 1 | 1539 | 1738 |
| 2 | 4456 | 1548 |
| 0 | 8341 | 1447 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(/ 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) |
y |
(+ x y) |
(/ -1 y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(+ y (* -1 x)) |
(* -2 (/ x y)) |
(* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y)))) |
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(* -2 (* x y)) |
(* x (+ (* -2 y) (* 2 x))) |
(+ 1 (* -2 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x)))) |
(- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 3) (pow x 3))))) |
(+ 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))) |
(+ 1 (/ y x)) |
x |
(* x (+ 1 (/ y x))) |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
(* 2 (/ x y)) |
(* x (- (* 2 (/ 1 y)) (/ 1 x))) |
(+ 1 (* -1 (/ (- y (* -1 y)) x))) |
(+ 1 (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2)))) |
(+ 1 (+ (* -1 (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2))))) |
(/ -1 x) |
(/ (- (/ y x) 1) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* 2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (* x y))))) |
(* -2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (/ 2 (* x y)) (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) |
(/ (+ y (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x) |
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* -2 (/ y x)))) |
(+ 1 (* -1 (/ (- (+ y (* -2 (/ (pow y 2) x))) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) 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 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y))))) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 2 (/ 1 y))) x)) (* 2 (/ 1 (pow y 2))))) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x)) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ (+ (* -1 y) (* 2 x)) y) |
(- (/ y (pow x 2)) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- y x) |
(/ (+ (* -2 (* x y)) (* 2 (pow x 2))) (pow y 2)) |
(/ (- (* 2 (* x y)) (* 2 (pow x 2))) (pow y 2)) |
(/ (- (* y (- (* -1 y) (* -2 x))) (* 2 (pow x 2))) (pow y 2)) |
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) |
(* y (+ (* y (- (/ 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))) |
(+ (* -2 (* x y)) (* 2 (pow x 2))) |
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2)))) |
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2))))) |
(/ (+ 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) (/ 1 y))) |
(* y (+ 1 (/ x y))) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (+ (* -1 (/ (- (* -1 x) x) y)) (/ (* x (- (* -1 x) x)) (pow y 2))) 1) |
(- (+ (* -1 (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ (* -1 (/ (- (* -1 x) x) y)) (/ (* x (- (* -1 x) x)) (pow y 2)))) 1) |
(/ (- (/ x y) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y) |
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(/ (+ (* -2 x) (* 2 (/ (pow x 2) y))) y) |
(- (* -2 (/ (pow x 2) (pow y 2))) (+ 1 (* -2 (/ x y)))) |
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) |
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) |
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y)))) |
(- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1) |
(* -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))) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y)) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y)) |
(- (* -1 (/ (- (* 2 (/ (pow x 2) y)) (* 2 x)) y)) 1) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) |
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x)))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ x y)) 1) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) x (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64)) |
(/ 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 (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
(/ y x) |
(/.f64 y x) |
(/ (+ x y) x) |
(/.f64 (+.f64 x y) x) |
y |
(+ x y) |
(+.f64 x y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) |
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(+ y (* -1 x)) |
(-.f64 y x) |
(* -2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -2 binary64)) |
(* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))) |
(*.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
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(* -1 (/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y)) |
(*.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) |
(- (* -1 (/ (- (* 2 (/ (pow x 2) y)) (* 2 x)) y)) 1) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) |
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) |
(fma.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) |
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x)))) |
(*.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 181 |
| 0 | 49 | 181 |
| 1 | 234 | 172 |
| 2 | 1980 | 172 |
| 0 | 8129 | 169 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) (/.f64 y (+.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) |
(/.f64 (+.f64 y x) x) |
(+.f64 y x) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(/.f64 x y) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
(-.f64 y x) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)) |
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))))) |
(-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))) |
#s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))) |
(/.f64 y (+.f64 y x)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 (neg.f64 y) y))) (-.f64 x y)) |
(*.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (-.f64 x y)) |
(*.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y (+.f64 x y)) (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(*.f64 (-.f64 (+.f64 x y) (*.f64 (/.f64 (+.f64 x y) x) y)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 x y) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y))) |
(pow.f64 (/.f64 (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (-.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 y (+.f64 x y)) (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x) (-.f64 (+.f64 x y) (*.f64 (/.f64 (+.f64 x y) x) y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (+.f64 x y) (*.f64 (/.f64 (+.f64 x y) x) y)) (/.f64 (+.f64 x y) x))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (+.f64 x y)) (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 x y) (*.f64 (/.f64 (+.f64 x y) x) y)))) (neg.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x y)))) (neg.f64 (neg.f64 (neg.f64 (+.f64 x y))))) |
(/.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 x x (*.f64 y (+.f64 x y))) (+.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x (neg.f64 (+.f64 x y))) (*.f64 (+.f64 x y) (neg.f64 y)))) (neg.f64 (*.f64 (+.f64 x y) (neg.f64 (+.f64 x y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x (+.f64 x y)) (*.f64 (+.f64 x y) y))) (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 (+.f64 x y) y)) (+.f64 x y))) (neg.f64 (*.f64 (+.f64 x y) (/.f64 (+.f64 x y) y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 x y))) (*.f64 (/.f64 (neg.f64 (+.f64 x y)) x) (neg.f64 y)))) (neg.f64 (*.f64 (/.f64 (neg.f64 (+.f64 x y)) x) (neg.f64 (+.f64 x y))))) |
(/.f64 (neg.f64 (-.f64 (neg.f64 (+.f64 x y)) (*.f64 (/.f64 (neg.f64 (+.f64 x y)) x) y))) (neg.f64 (*.f64 (/.f64 (neg.f64 (+.f64 x y)) x) (+.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (*.f64 (/.f64 (neg.f64 (+.f64 x y)) x) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 (neg.f64 (+.f64 x y)) x) (/.f64 (+.f64 x y) y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))) (*.f64 (/.f64 (+.f64 x y) x) (neg.f64 y)))) (neg.f64 (*.f64 (/.f64 (+.f64 x y) x) (neg.f64 (+.f64 x y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) y)) (/.f64 (+.f64 x y) x))) (neg.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y)))) (*.f64 (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 y (+.f64 x y)) (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 y (+.f64 x y)) (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))) (fma.f64 (/.f64 y (+.f64 x y)) (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 x y) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x)) (*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x) (*.f64 (/.f64 (+.f64 x y) x) y))) (*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (neg.f64 (neg.f64 (+.f64 x y)))) (*.f64 (+.f64 x y) (neg.f64 (neg.f64 y)))) (*.f64 (+.f64 x y) (neg.f64 (neg.f64 (+.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 y #s(literal 1 binary64)))) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (neg.f64 (+.f64 x y))) (*.f64 (+.f64 x y) (neg.f64 y))) (*.f64 (+.f64 x y) (neg.f64 (+.f64 x y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (+.f64 x y) y))) (neg.f64 (+.f64 x y))) (*.f64 (+.f64 x y) (neg.f64 (/.f64 (+.f64 x y) y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (+.f64 x y)) (*.f64 (+.f64 x y) y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64))) (+.f64 x y)) (*.f64 (+.f64 x y) (/.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x y) y)) (+.f64 x y)) (*.f64 (+.f64 x y) (/.f64 (+.f64 x y) y))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (neg.f64 (neg.f64 (+.f64 x y)))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (neg.f64 y)))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (neg.f64 (+.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (+.f64 x y)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y #s(literal 1 binary64)))) (/.f64 (+.f64 x y) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (neg.f64 (+.f64 x y))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 y))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (+.f64 x y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (neg.f64 (/.f64 (+.f64 x y) y))) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (+.f64 x y) y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (+.f64 x y)) (*.f64 (pow.f64 x #s(literal -1 binary64)) y)) (/.f64 (+.f64 x y) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (+.f64 x y) y)) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x y) y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 (neg.f64 (+.f64 x y)))) (*.f64 (neg.f64 (+.f64 x y)) (neg.f64 (neg.f64 y)))) (*.f64 (neg.f64 (+.f64 x y)) (neg.f64 (neg.f64 (+.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (+.f64 x y)) (*.f64 (neg.f64 (+.f64 x y)) (*.f64 y #s(literal 1 binary64)))) (*.f64 (neg.f64 (+.f64 x y)) (+.f64 x y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 (+.f64 x y))) (*.f64 (neg.f64 (+.f64 x y)) (neg.f64 y))) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 (/.f64 (+.f64 x y) y))) (*.f64 (neg.f64 (+.f64 x y)) #s(literal -1 binary64))) (*.f64 (neg.f64 (+.f64 x y)) (neg.f64 (/.f64 (+.f64 x y) y)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (+.f64 x y)) (*.f64 (neg.f64 (+.f64 x y)) y)) (*.f64 (neg.f64 (+.f64 x y)) (+.f64 x y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 x y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 x y)) (/.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 x y) y)) (*.f64 (neg.f64 (+.f64 x y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 x y)) (/.f64 (+.f64 x y) y))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 x y)))) (*.f64 (/.f64 (neg.f64 (+.f64 x y)) x) (neg.f64 (neg.f64 y)))) (*.f64 (/.f64 (neg.f64 (+.f64 x y)) x) (neg.f64 (neg.f64 (+.f64 x y))))) |
(/.f64 (-.f64 (neg.f64 (+.f64 x y)) (*.f64 (/.f64 (neg.f64 (+.f64 x y)) x) (*.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 (neg.f64 (+.f64 x y)) x) (+.f64 x y))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x y) y))) (*.f64 (/.f64 (neg.f64 (+.f64 x y)) x) #s(literal -1 binary64))) (*.f64 (/.f64 (neg.f64 (+.f64 x y)) x) (neg.f64 (/.f64 (+.f64 x y) y)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64))) (*.f64 (/.f64 (neg.f64 (+.f64 x y)) x) #s(literal 1 binary64))) (*.f64 (/.f64 (neg.f64 (+.f64 x y)) x) (/.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 x (neg.f64 (neg.f64 (+.f64 x y)))) (*.f64 (+.f64 x y) (neg.f64 (neg.f64 y)))) (*.f64 (+.f64 x y) (neg.f64 (neg.f64 (+.f64 x y))))) |
(/.f64 (-.f64 (*.f64 x (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 y #s(literal 1 binary64)))) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 x (neg.f64 (/.f64 (+.f64 x y) y))) (neg.f64 (+.f64 x y))) (*.f64 (+.f64 x y) (neg.f64 (/.f64 (+.f64 x y) y)))) |
(/.f64 (-.f64 (*.f64 x (/.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64))) (+.f64 x y)) (*.f64 (+.f64 x y) (/.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 x y)))) (*.f64 (/.f64 (+.f64 x y) x) (neg.f64 (neg.f64 y)))) (*.f64 (/.f64 (+.f64 x y) x) (neg.f64 (neg.f64 (+.f64 x y))))) |
(/.f64 (-.f64 (+.f64 x y) (*.f64 (/.f64 (+.f64 x y) x) (*.f64 y #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 x y) y))) (*.f64 (/.f64 (+.f64 x y) x) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 x y) x) (neg.f64 (/.f64 (+.f64 x y) y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64))) (/.f64 (+.f64 x y) x)) (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 y)) (+.f64 x y) (*.f64 (neg.f64 (+.f64 x y)) (*.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (+.f64 x y)) (+.f64 x y))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 y)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) (/.f64 (neg.f64 (+.f64 x y)) x)) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (+.f64 x y)) (*.f64 (neg.f64 (+.f64 x y)) (neg.f64 x))) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 y)) (/.f64 (neg.f64 (+.f64 x y)) x) (*.f64 (neg.f64 (+.f64 x y)) #s(literal -1 binary64))) (*.f64 (neg.f64 (+.f64 x y)) (/.f64 (neg.f64 (+.f64 x y)) x))) |
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(pow.f64 (/.f64 (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64))) (*.f64 (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 2 binary64))) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y)))))))) |
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 3 binary64))))) |
(fma.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y)))))) (/.f64 (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))))))) |
(-.f64 (pow.f64 (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 2 binary64)) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y)))) |
(+.f64 (neg.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y)))) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))))) |
#s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) |
(*.f64 (/.f64 y (fma.f64 x x (*.f64 (neg.f64 y) y))) (-.f64 x y)) |
(*.f64 (/.f64 y (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) y) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(*.f64 y (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x y))) |
(pow.f64 (/.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x y) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (+.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (+.f64 x y)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (+.f64 x y)) |
(/.f64 (neg.f64 y) (neg.f64 (+.f64 x y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x y) y))) |
(/.f64 y (+.f64 x y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 x y) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) y)) |
(neg.f64 (/.f64 (neg.f64 y) (+.f64 x y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x y))) (/.f64 (neg.f64 y) (+.f64 x y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 y x) #s(literal -2 binary64)) x) |
(*.f64 (*.f64 (-.f64 y x) x) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) |
(*.f64 #s(literal -2 binary64) (*.f64 (-.f64 y x) x)) |
(*.f64 (-.f64 y x) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 x (*.f64 #s(literal -2 binary64) (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 #s(literal -2 binary64) x))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) x))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 #s(literal -2 binary64) x)) (+.f64 x y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) x)) (fma.f64 x (+.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (+.f64 x y) (-.f64 y x))) (+.f64 x y)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x y) (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) y (*.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 x))) |
(fma.f64 y (*.f64 #s(literal -2 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x))) |
(+.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x))) |
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) y) (*.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 x))) |
Compiled 23 214 to 2 900 computations (87.5% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 891 | 1 | 892 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 892 | 10 | 902 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 (-.f64 x y) (+.f64 x y)) |
| ✓ | 51.2% | (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
| ✓ | 100.0% | (-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x))) |
| ▶ | 99.9% | (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) (/.f64 y (+.f64 y x))) |
| ✓ | 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
| ✓ | 50.5% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
| ✓ | 51.9% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) |
| ✓ | 42.5% | #s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))))) |
| ✓ | 49.1% | #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
| ✓ | 50.1% | #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
Compiled 130 to 91 computations (30% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (+.f64 x y)) | |
| cost-diff | 3 | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) | |
| cost-diff | 4 | (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) (/.f64 y (+.f64 y x))) |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 43 |
| 0 | 17 | 43 |
| 1 | 29 | 41 |
| 2 | 56 | 37 |
| 3 | 108 | 37 |
| 4 | 230 | 37 |
| 5 | 377 | 35 |
| 6 | 526 | 33 |
| 7 | 768 | 33 |
| 8 | 877 | 33 |
| 9 | 883 | 33 |
| 0 | 883 | 33 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) (/.f64 y (+.f64 y x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (+.f64 x y)) |
#s(literal -1 binary64) |
(+.f64 x y) |
x |
y |
(neg.f64 x) |
(/.f64 y (+.f64 y x)) |
(+.f64 y x) |
| Outputs |
|---|
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) (/.f64 y (+.f64 y x))) |
(/.f64 (-.f64 x y) (+.f64 y x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) |
(/.f64 x (+.f64 y x)) |
(/.f64 #s(literal -1 binary64) (+.f64 x y)) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
#s(literal -1 binary64) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
(neg.f64 x) |
(/.f64 y (+.f64 y x)) |
(+.f64 y x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (/.f64 y (+.f64 y x)) | |
| accuracy | 0.01171875 | (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) (/.f64 y (+.f64 y x))) | |
| accuracy | 0.03515625 | (/.f64 #s(literal -1 binary64) (+.f64 x y)) | |
| accuracy | 0.18359375 | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) |
| 32.0ms | 256× | 0 | valid |
Compiled 45 to 12 computations (73.3% saved)
ival-div: 3.0ms (28.9% of total)ival-add: 3.0ms (28.9% of total)ival-mult: 2.0ms (19.3% of total)ival-sub: 1.0ms (9.6% of total)ival-neg: 1.0ms (9.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) (/.f64 y (+.f64 y x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (+.f64 x y)) |
(+.f64 x y) |
(/.f64 y (+.f64 y x)) |
| Outputs |
|---|
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(/ 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))) |
(/ -1 y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
y |
(+ x y) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y)))) |
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(+ 1 (* -2 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x)))) |
(- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 3) (pow x 3))))) |
(+ 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))) |
(/ -1 x) |
(/ (- (/ y x) 1) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x) |
x |
(* x (+ 1 (/ y x))) |
(/ y x) |
(/ (+ y (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x) |
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x) |
(+ 1 (* -1 (/ (- y (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (+ y (* -2 (/ (pow y 2) x))) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) 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 (/ (+ 1 (* -1 (/ y x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x)) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(- (/ y (pow x 2)) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) |
(* y (+ (* y (- (/ 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) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2)))) |
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2))))) |
(/ (+ 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) |
(/ (- (/ x y) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y) |
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) |
(* y (+ 1 (/ x y))) |
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) |
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1) |
(* -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 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | ((- (* (/ -1 (+ x y)) (neg x)) (/ y (+ y x))) (* (/ -1 (+ x y)) (neg x)) (/ -1 (+ x y)) (+ x y) (/ y (+ y x))) |
| 0.0ms | y | @ | inf | ((- (* (/ -1 (+ x y)) (neg x)) (/ y (+ y x))) (* (/ -1 (+ x y)) (neg x)) (/ -1 (+ x y)) (+ x y) (/ y (+ y x))) |
| 0.0ms | x | @ | inf | ((- (* (/ -1 (+ x y)) (neg x)) (/ y (+ y x))) (* (/ -1 (+ x y)) (neg x)) (/ -1 (+ x y)) (+ x y) (/ y (+ y x))) |
| 0.0ms | y | @ | -inf | ((- (* (/ -1 (+ x y)) (neg x)) (/ y (+ y x))) (* (/ -1 (+ x y)) (neg x)) (/ -1 (+ x y)) (+ x y) (/ y (+ y x))) |
| 0.0ms | x | @ | 0 | ((- (* (/ -1 (+ x y)) (neg x)) (/ y (+ y x))) (* (/ -1 (+ x y)) (neg x)) (/ -1 (+ x y)) (+ x y) (/ y (+ y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 328 | 1227 |
| 1 | 1050 | 1125 |
| 2 | 2760 | 1003 |
| 0 | 8262 | 937 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(/ 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))) |
(/ -1 y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
y |
(+ x y) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y)))) |
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(+ 1 (* -2 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x)))) |
(- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 3) (pow x 3))))) |
(+ 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))) |
(/ -1 x) |
(/ (- (/ y x) 1) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x) |
x |
(* x (+ 1 (/ y x))) |
(/ y x) |
(/ (+ y (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x) |
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x) |
(+ 1 (* -1 (/ (- y (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (+ y (* -2 (/ (pow y 2) x))) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) 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 (/ (+ 1 (* -1 (/ y x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x)) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(- (/ y (pow x 2)) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) |
(* y (+ (* y (- (/ 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) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2)))) |
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2))))) |
(/ (+ 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) |
(/ (- (/ x y) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y) |
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) |
(* y (+ 1 (/ x y))) |
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) |
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1) |
(* -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 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ x y)) 1) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64)) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) x #s(literal -1 binary64)) |
(/ 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 (/.f64 x y) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x) x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) x) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) |
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
y |
(+ x y) |
(+.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y)))) |
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) x #s(literal 1 binary64)) |
(+ 1 (* -2 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 3) (pow x 3))))) |
(-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) (*.f64 #s(literal 2 binary64) y) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #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 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (/ y x) 1) x) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) |
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* -1 (/ (pow y 2) x))) x) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x) |
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x) |
(/.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (/.f64 y x) #s(literal 1 binary64)) y) x) |
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 y y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x) y)) x) |
(+ 1 (* -1 (/ (- y (* -1 y)) x))) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ y (* -2 (/ (pow y 2) x))) (* -1 y)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y)) x)) |
(+ 1 (* -1 (/ (- (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) (* -1 y)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 y (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) y)) x)) y) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64)) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x)) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x)) |
(/.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (/.f64 y x) #s(literal 1 binary64)) y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 y y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x) y)) x) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64)) |
(- (/ y (pow x 2)) (/ 1 x)) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (*.f64 (-.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) y (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x) |
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))) |
(/.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (/.f64 y x) #s(literal 1 binary64)) y) x) |
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y) y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) y) |
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2))))) |
(+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) x) x #s(literal -1 binary64))) (pow.f64 (/.f64 x y) #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 (/.f64 x y) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y) |
(/ (- (/ x y) 1) y) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) |
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) |
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) x #s(literal 1 binary64)) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) y)) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) y) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64)) |
(* -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 (/.f64 x y) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) |
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) x #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 0 | 17 | 35 |
| 1 | 80 | 29 |
| 2 | 662 | 25 |
| 0 | 8989 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) (/.f64 y (+.f64 y x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (+.f64 x y)) |
(+.f64 x y) |
(/.f64 y (+.f64 y x)) |
| Outputs |
|---|
(*.f64 (fma.f64 x (/.f64 (+.f64 x y) y) (-.f64 (neg.f64 x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))))) |
(*.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (*.f64 x (-.f64 (neg.f64 x) y)) (*.f64 (-.f64 (neg.f64 x) y) y)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 x (+.f64 x y) (*.f64 (-.f64 (neg.f64 x) y) y)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (-.f64 y x) (-.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 y (*.f64 (+.f64 x y) (-.f64 y x))))) |
(*.f64 (-.f64 x y) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (fma.f64 y #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (-.f64 x y)) |
(*.f64 (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (-.f64 (neg.f64 x) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (fma.f64 x #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (-.f64 y x)) |
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (-.f64 (neg.f64 x) y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (-.f64 x y))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)))) (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))))) (+.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (/.f64 y (-.f64 (neg.f64 x) y)) (/.f64 x (+.f64 x y)))) |
(/.f64 (fma.f64 x (/.f64 (+.f64 x y) y) (-.f64 (neg.f64 x) y)) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 (-.f64 (neg.f64 x) y) y))) |
(/.f64 (fma.f64 x (/.f64 (+.f64 x y) y) (-.f64 (neg.f64 x) y)) (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) (*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))))))) |
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(+.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y)) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 x y)))) |
(+.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (-.f64 y x))) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (-.f64 y x)))) |
Compiled 13 138 to 1 571 computations (88% saved)
10 alts after pruning (0 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 502 | 0 | 502 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 9 | 9 |
| Total | 502 | 10 | 512 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 (-.f64 x y) (+.f64 x y)) |
| ✓ | 51.2% | (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
| ✓ | 100.0% | (-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x))) |
| ✓ | 99.9% | (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) (/.f64 y (+.f64 y x))) |
| ✓ | 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
| ✓ | 50.5% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
| ✓ | 51.9% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) |
| ✓ | 42.5% | #s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))))) |
| ✓ | 49.1% | #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
| ✓ | 50.1% | #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
Compiled 328 to 154 computations (53% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
(/.f64 (-.f64 x y) (+.f64 x y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x))) |
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))))) |
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))) |
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) (/.f64 y (+.f64 y x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) (/.f64 y (+.f64 y x))) |
(/.f64 (-.f64 (+.f64 y x) (*.f64 (/.f64 (+.f64 y x) x) y)) (*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x))) |
| Outputs |
|---|
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x))) |
3 calls:
| 7.0ms | x |
| 4.0ms | y |
| 3.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
(/.f64 (-.f64 x y) (+.f64 x y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
3 calls:
| 3.0ms | y |
| 3.0ms | x |
| 2.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.9% | 3 | x |
| 77.2% | 3 | y |
| 99.2% | 2 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
| Outputs |
|---|
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
1 calls:
| 1.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 2 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
1 calls:
| 15.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 2 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.1% | 1 | y |
| 50.1% | 1 | x |
| 50.1% | 1 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999934859689874 | 0.9684806253341975 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999934859689874 | 0.9684806253341975 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999934859689874 | 0.9684806253341975 |
Compiled 10 to 10 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | -0.9999934859689874 | 0.9684806253341975 |
| 4.0ms | 240× | 0 | valid |
Compiled 280 to 250 computations (10.7% saved)
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 | 35 | 155 |
| 1 | 48 | 155 |
| 2 | 60 | 155 |
| 3 | 80 | 155 |
| 4 | 117 | 155 |
| 5 | 174 | 155 |
| 6 | 299 | 155 |
| 7 | 786 | 155 |
| 8 | 2443 | 155 |
| 9 | 7279 | 155 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x))) |
(/.f64 (-.f64 x y) (+.f64 x y)) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x))) |
(/.f64 (-.f64 x y) (+.f64 x y)) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 362 |
| 1 | 439 | 335 |
| 2 | 1238 | 290 |
| 3 | 4833 | 278 |
| 0 | 8359 | 255 |
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 39 | 13 |
| 2 | 309 | 13 |
| 3 | 5194 | 13 |
| 0 | 8715 | 13 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 213 to 84 computations (60.6% saved)
Compiled 346 to 92 computations (73.4% saved)
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