
Time bar (total: 5.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 617.0ms | 8 256× | 0 | valid |
ival-sub: 86.0ms (52.6% of total)ival-div: 61.0ms (37.3% of total)ival-true: 6.0ms (3.7% of total)exact: 5.0ms (3.1% of total)ival-assert: 3.0ms (1.8% of total)adjust: 2.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 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 |
| 39.0ms | 512× | 0 | valid |
Compiled 43 to 22 computations (48.8% saved)
ival-sub: 9.0ms (56.1% of total)ival-div: 6.0ms (37.4% of total)ival-true: 1.0ms (6.2% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 43 |
| 1 | 35 | 43 |
| 2 | 45 | 43 |
| 3 | 53 | 43 |
| 4 | 65 | 43 |
| 5 | 77 | 43 |
| 6 | 93 | 43 |
| 7 | 104 | 43 |
| 8 | 117 | 43 |
| 9 | 124 | 43 |
| 10 | 126 | 43 |
| 11 | 130 | 43 |
| 12 | 134 | 43 |
| 13 | 138 | 43 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 14 | 7 |
| 0 | 14 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 14 | 16 |
| 0 | 14 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 19.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-sub: 5.0ms (57.7% of total)ival-div: 3.0ms (34.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 x y) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 y) |
(- x y) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y x) 1))) |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* -1 y)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* y (- (/ x y) 1)) |
(* y (- (/ 1 y) 1)) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 1.0ms | x | @ | -inf | ((/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 1.0ms | x | @ | inf | ((/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 1.0ms | x | @ | 0 | ((/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 1.0ms | y | @ | -inf | ((/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 268 |
| 1 | 284 | 221 |
| 2 | 892 | 192 |
| 3 | 3209 | 186 |
| 0 | 8324 | 178 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 y) |
(- x y) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y x) 1))) |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* -1 y)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* y (- (/ x y) 1)) |
(* y (- (/ 1 y) 1)) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
| Outputs |
|---|
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (neg.f64 y) #s(literal 1 binary64))) y x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (neg.f64 y) #s(literal 1 binary64))) y x) #s(literal 1 binary64)) y x) |
(+ x (* -1 y)) |
(-.f64 x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))) y)) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
(+ 1 (* -1 (/ (- x 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 41 | 13 |
| 2 | 261 | 13 |
| 3 | 2666 | 13 |
| 0 | 9403 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 x y) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (-.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y)))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 y) y))) (*.f64 (*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (-.f64 (*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 (neg.f64 (neg.f64 x)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 x (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))) |
(/.f64 (-.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (neg.f64 y))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 x (neg.f64 (neg.f64 y))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) y) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 (neg.f64 (neg.f64 x)) y) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (fma.f64 y y y)) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(/.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (fma.f64 y y y))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) |
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(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 y)) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
Compiled 5 248 to 708 computations (86.5% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 221 | 6 | 227 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 221 | 7 | 228 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ▶ | 76.7% | (*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
| ▶ | 47.6% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x)) |
| 47.3% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (neg.f64 y) #s(literal 1 binary64))) y x)) | |
| ▶ | 54.6% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
| ▶ | 46.4% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| ▶ | 52.8% | #s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
Compiled 183 to 132 computations (27.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 x #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (+.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (/.f64 y (+.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 x (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (+.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (fma.f64 (+.f64 #s(literal -1 binary64) x) y x) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x)) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) | |
| cost-diff | 1 | (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)) | |
| cost-diff | 1 | (+.f64 #s(literal -1 binary64) (*.f64 y y)) | |
| cost-diff | 4 | (*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 147 |
| 0 | 42 | 147 |
| 1 | 76 | 147 |
| 2 | 168 | 145 |
| 3 | 493 | 140 |
| 4 | 1819 | 140 |
| 5 | 6845 | 140 |
| 0 | 8854 | 138 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) |
(-.f64 x y) |
x |
y |
(+.f64 #s(literal -1 binary64) (*.f64 y y)) |
#s(literal -1 binary64) |
(*.f64 y y) |
(fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x)) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) y x) |
(+.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
y |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
x |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
y |
(+.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
x |
y |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal -1 binary64) x y) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) |
(/.f64 (-.f64 x y) (fma.f64 y y #s(literal -1 binary64))) |
(-.f64 x y) |
x |
y |
(+.f64 #s(literal -1 binary64) (*.f64 y y)) |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 y y) |
(fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) y) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x)) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) y x) |
(+.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
y |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
x |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
y |
(+.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
x |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 x #s(literal 1 binary64)) y) | |
| accuracy | 30.231479082828624 | #s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) | |
| accuracy | 0.0 | (+.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.01171875 | (/.f64 y (+.f64 #s(literal -1 binary64) y)) | |
| accuracy | 29.053905023480876 | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.01171875 | (/.f64 x (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 34.3072516726307 | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) | |
| accuracy | 0.0 | (+.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.00390625 | (fma.f64 (+.f64 #s(literal -1 binary64) x) y x) | |
| accuracy | 33.55727446240736 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.00390625 | (+.f64 #s(literal -1 binary64) (*.f64 y y)) | |
| accuracy | 0.109375 | (*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) | |
| accuracy | 14.234074912589511 | (/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) |
| 103.0ms | 256× | 0 | valid |
Compiled 125 to 24 computations (80.8% saved)
ival-div: 33.0ms (60.7% of total)ival-mult: 10.0ms (18.4% of total)ival-add: 6.0ms (11% of total)ival-sub: 5.0ms (9.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(+.f64 #s(literal -1 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)) |
(/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x)) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) y x) |
(+.f64 #s(literal -1 binary64) x) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+.f64 #s(literal -1 binary64) y) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 y y) |
| Outputs |
|---|
(* -1 (/ (* y (- (* -1 y) 1)) (- (pow y 2) 1))) |
(+ (* -1 (/ (* y (- (* -1 y) 1)) (- (pow y 2) 1))) (* x (- (* -1 (/ y (- (pow y 2) 1))) (/ 1 (- (pow y 2) 1))))) |
(* -1 (/ y (- (pow y 2) 1))) |
(+ (* -1 (/ y (- (pow y 2) 1))) (/ x (- (pow y 2) 1))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 y) |
(+ (* -1 y) (* x (+ 1 y))) |
-1 |
(- x 1) |
(/ x (- 1 y)) |
(+ 1 (/ 1 y)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(/ -1 y) |
(- (/ x y) (/ 1 y)) |
(/ (* x (- (* -1 y) 1)) (- (pow y 2) 1)) |
(* x (- (+ (* -1 (/ y (- (pow y 2) 1))) (* -1 (/ (* y (- (* -1 y) 1)) (* x (- (pow y 2) 1))))) (/ 1 (- (pow y 2) 1)))) |
(/ x (- (pow y 2) 1)) |
(* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
x |
(* x (- 1 (/ 1 x))) |
(* -1 (/ x y)) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* -1 (* x (+ (* -1 (/ (- (* -1 y) 1) (- (pow y 2) 1))) (/ (* y (- (* -1 y) 1)) (* x (- (pow y 2) 1)))))) |
(* -1 (* x (- (/ y (* x (- (pow y 2) 1))) (/ 1 (- (pow y 2) 1))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (+ (* -1 (* y (+ 1 (* -1 x)))) (* -1 (+ 1 (* -1 x)))))) |
(+ x (* y (+ (* -1 (+ 1 (* -1 x))) (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))))) |
(- (pow y 2) 1) |
(- (* -1 y) 1) |
(* -1 x) |
(+ y (* -1 x)) |
(+ (* -1 x) (* y (+ 1 (* -1 (* x y))))) |
(+ (* -1 x) (* y (+ 1 (* y (- y x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- x 1))) |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
1 |
(+ 1 (* -1 y)) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(- y 1) |
(/ (- 1 x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- x 1) y) |
(pow y 2) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 2))))) |
(+ 1 (+ (* -1 (/ (- x 1) y)) (+ (* -1 (/ (- x 1) (pow y 2))) (* -1 (/ (- x 1) (pow y 3)))))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(/ (- (/ x y) 1) y) |
(/ (- (/ x y) (+ 1 (/ 1 (pow y 2)))) y) |
(/ (- (+ (/ x y) (/ x (pow y 3))) (+ 1 (/ 1 (pow y 2)))) y) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* y (- x 1)) |
(* y (- (+ x (/ x y)) 1)) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(* y (- (/ 1 y) 1)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
y |
(* y (- 1 (/ 1 y))) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- x (/ 1 y)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (+ 1 (* -1 (/ x y))) y))) y))) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(* -1 (/ (+ x (/ x y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(* -1 (* y (- (/ 1 y) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | x | @ | -inf | ((* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (+ -1 (* y y)) (+ (* -1 y) -1) (/ (- x y) (+ -1 (* y y))) (/ (- x y) (- 1 y)) (+ (* (+ -1 x) y) x) (+ -1 x) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (/ y (+ -1 y)) (+ -1 y) (/ (- x y) (- 1 y)) (- 1 (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (* y y)) |
| 3.0ms | x | @ | 0 | ((* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (+ -1 (* y y)) (+ (* -1 y) -1) (/ (- x y) (+ -1 (* y y))) (/ (- x y) (- 1 y)) (+ (* (+ -1 x) y) x) (+ -1 x) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (/ y (+ -1 y)) (+ -1 y) (/ (- x y) (- 1 y)) (- 1 (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (* y y)) |
| 3.0ms | x | @ | inf | ((* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (+ -1 (* y y)) (+ (* -1 y) -1) (/ (- x y) (+ -1 (* y y))) (/ (- x y) (- 1 y)) (+ (* (+ -1 x) y) x) (+ -1 x) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (/ y (+ -1 y)) (+ -1 y) (/ (- x y) (- 1 y)) (- 1 (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (* y y)) |
| 2.0ms | y | @ | -inf | ((* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (+ -1 (* y y)) (+ (* -1 y) -1) (/ (- x y) (+ -1 (* y y))) (/ (- x y) (- 1 y)) (+ (* (+ -1 x) y) x) (+ -1 x) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (/ y (+ -1 y)) (+ -1 y) (/ (- x y) (- 1 y)) (- 1 (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (* y y)) |
| 2.0ms | y | @ | inf | ((* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (+ -1 (* y y)) (+ (* -1 y) -1) (/ (- x y) (+ -1 (* y y))) (/ (- x y) (- 1 y)) (+ (* (+ -1 x) y) x) (+ -1 x) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (/ y (+ -1 y)) (+ -1 y) (/ (- x y) (- 1 y)) (- 1 (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 282 | 1064 |
| 1 | 903 | 945 |
| 2 | 2940 | 862 |
| 0 | 8316 | 824 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* y (- (* -1 y) 1)) (- (pow y 2) 1))) |
(+ (* -1 (/ (* y (- (* -1 y) 1)) (- (pow y 2) 1))) (* x (- (* -1 (/ y (- (pow y 2) 1))) (/ 1 (- (pow y 2) 1))))) |
(* -1 (/ y (- (pow y 2) 1))) |
(+ (* -1 (/ y (- (pow y 2) 1))) (/ x (- (pow y 2) 1))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 y) |
(+ (* -1 y) (* x (+ 1 y))) |
-1 |
(- x 1) |
(/ x (- 1 y)) |
(+ 1 (/ 1 y)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(/ -1 y) |
(- (/ x y) (/ 1 y)) |
(/ (* x (- (* -1 y) 1)) (- (pow y 2) 1)) |
(* x (- (+ (* -1 (/ y (- (pow y 2) 1))) (* -1 (/ (* y (- (* -1 y) 1)) (* x (- (pow y 2) 1))))) (/ 1 (- (pow y 2) 1)))) |
(/ x (- (pow y 2) 1)) |
(* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
x |
(* x (- 1 (/ 1 x))) |
(* -1 (/ x y)) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* -1 (* x (+ (* -1 (/ (- (* -1 y) 1) (- (pow y 2) 1))) (/ (* y (- (* -1 y) 1)) (* x (- (pow y 2) 1)))))) |
(* -1 (* x (- (/ y (* x (- (pow y 2) 1))) (/ 1 (- (pow y 2) 1))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (+ (* -1 (* y (+ 1 (* -1 x)))) (* -1 (+ 1 (* -1 x)))))) |
(+ x (* y (+ (* -1 (+ 1 (* -1 x))) (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))))) |
(- (pow y 2) 1) |
(- (* -1 y) 1) |
(* -1 x) |
(+ y (* -1 x)) |
(+ (* -1 x) (* y (+ 1 (* -1 (* x y))))) |
(+ (* -1 x) (* y (+ 1 (* y (- y x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- x 1))) |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
1 |
(+ 1 (* -1 y)) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(- y 1) |
(/ (- 1 x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- x 1) y) |
(pow y 2) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 2))))) |
(+ 1 (+ (* -1 (/ (- x 1) y)) (+ (* -1 (/ (- x 1) (pow y 2))) (* -1 (/ (- x 1) (pow y 3)))))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(/ (- (/ x y) 1) y) |
(/ (- (/ x y) (+ 1 (/ 1 (pow y 2)))) y) |
(/ (- (+ (/ x y) (/ x (pow y 3))) (+ 1 (/ 1 (pow y 2)))) y) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* y (- x 1)) |
(* y (- (+ x (/ x y)) 1)) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(* y (- (/ 1 y) 1)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
y |
(* y (- 1 (/ 1 y))) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- x (/ 1 y)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (+ 1 (* -1 (/ x y))) y))) y))) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(* -1 (/ (+ x (/ x y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(* -1 (* y (- (/ 1 y) 1))) |
| Outputs |
|---|
(* -1 (/ (* y (- (* -1 y) 1)) (- (pow y 2) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) |
(+ (* -1 (/ (* y (- (* -1 y) 1)) (- (pow y 2) 1))) (* x (- (* -1 (/ y (- (pow y 2) 1))) (/ 1 (- (pow y 2) 1))))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) y x)) |
(* -1 (/ y (- (pow y 2) 1))) |
(/.f64 (neg.f64 y) (fma.f64 y y #s(literal -1 binary64))) |
(+ (* -1 (/ y (- (pow y 2) 1))) (/ x (- (pow y 2) 1))) |
(/.f64 (fma.f64 #s(literal -1 binary64) y x) (fma.f64 y y #s(literal -1 binary64))) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/.f64 (fma.f64 #s(literal -1 binary64) y x) (-.f64 #s(literal 1 binary64) y)) |
(* -1 y) |
(neg.f64 y) |
(+ (* -1 y) (* x (+ 1 y))) |
(-.f64 (fma.f64 y x x) y) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(+ 1 (/ 1 y)) |
(/.f64 (-.f64 y #s(literal -1 binary64)) y) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (/ x y) (/ 1 y)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (* x (- (* -1 y) 1)) (- (pow y 2) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(* x (- (+ (* -1 (/ y (- (pow y 2) 1))) (* -1 (/ (* y (- (* -1 y) 1)) (* x (- (pow y 2) 1))))) (/ 1 (- (pow y 2) 1)))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) y x)) |
(/ x (- (pow y 2) 1)) |
(/.f64 x (fma.f64 y y #s(literal -1 binary64))) |
(* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) x) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(fma.f64 (-.f64 y (/.f64 y x)) x x) |
x |
(* x (- 1 (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(-.f64 (/.f64 (+.f64 (/.f64 x y) x) x) (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x) |
(* -1 (* x (+ (* -1 (/ (- (* -1 y) 1) (- (pow y 2) 1))) (/ (* y (- (* -1 y) 1)) (* x (- (pow y 2) 1)))))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) y x)) |
(* -1 (* x (- (/ y (* x (- (pow y 2) 1))) (/ 1 (- (pow y 2) 1))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) x) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64) y) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(-.f64 (/.f64 (+.f64 (/.f64 x y) x) x) (/.f64 x y)) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y))) |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(-.f64 (fma.f64 y x x) y) |
(+ x (* y (+ (* -1 (* y (+ 1 (* -1 x)))) (* -1 (+ 1 (* -1 x)))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y) x) |
(+ x (* y (+ (* -1 (+ 1 (* -1 x))) (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 y #s(literal -1 binary64))) y (+.f64 #s(literal -1 binary64) x)) y x) |
(- (pow y 2) 1) |
(fma.f64 y y #s(literal -1 binary64)) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
(* -1 x) |
(neg.f64 x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ (* -1 x) (* y (+ 1 (* -1 (* x y))))) |
(-.f64 y (fma.f64 (*.f64 y x) y x)) |
(+ (* -1 x) (* y (+ 1 (* y (- y x))))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y x)) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 y #s(literal -1 binary64))) y (+.f64 #s(literal -1 binary64) x)) y x) |
(+ x (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* y (- (* x y) (* -1 x)))) |
(fma.f64 (fma.f64 y x x) y x) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(fma.f64 (fma.f64 (fma.f64 y x x) y x) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (* -1 y) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64)) y) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) y) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- (+ 1 y) x) y) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(pow y 2) |
(*.f64 y y) |
(+ 1 (* -1 (/ (- x 1) y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(+ 1 (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 2))))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (/.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (- x 1) y)) (+ (* -1 (/ (- x 1) (pow y 2))) (* -1 (/ (- x 1) (pow y 3)))))) |
(fma.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y)) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
(/ (- (/ x y) 1) y) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (- (/ x y) (+ 1 (/ 1 (pow y 2)))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64)) y) |
(/ (- (+ (/ x y) (/ x (pow y 3))) (+ 1 (/ 1 (pow y 2)))) y) |
(/.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 x (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64))) y) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (/.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) x) y)) #s(literal 1 binary64)) |
(* y (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* y (- (+ x (/ x y)) 1)) |
(*.f64 (-.f64 (+.f64 (/.f64 x y) x) #s(literal 1 binary64)) y) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/.f64 (neg.f64 (+.f64 (/.f64 x y) x)) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) (neg.f64 y)) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) y) x) (neg.f64 y)) |
(* y (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+.f64 (/.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) y) y) #s(literal 1 binary64)) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
(+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) y) y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
y |
(* y (- 1 (/ 1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (/.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (/.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64))) y)) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) y) |
(* -1 (/ (+ 1 (* -1 (/ (- x (/ 1 y)) y))) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 #s(literal 1 binary64) y)) y)) (neg.f64 y)) |
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (+ 1 (* -1 (/ x y))) y))) y))) y)) |
(/.f64 (+.f64 (/.f64 (-.f64 x (/.f64 (/.f64 (-.f64 y x) y) y)) y) #s(literal -1 binary64)) y) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (/.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (/.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64))) y)) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(*.f64 (-.f64 (+.f64 (/.f64 x y) x) #s(literal 1 binary64)) y) |
(* -1 (/ (+ x (/ x y)) y)) |
(/.f64 (neg.f64 (+.f64 (/.f64 x y) x)) y) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) (neg.f64 y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) y) x) (neg.f64 y)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) y) y) #s(literal 1 binary64)) y)) |
(* -1 (* y (- (/ 1 y) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 130 |
| 0 | 42 | 131 |
| 1 | 179 | 128 |
| 2 | 1390 | 128 |
| 0 | 9411 | 125 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(+.f64 #s(literal -1 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)) |
(/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x)) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) y x) |
(+.f64 #s(literal -1 binary64) x) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+.f64 #s(literal -1 binary64) y) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 x y) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 x y)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 x y) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (-.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (-.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))) |
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(/.f64 (neg.f64 (/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) y) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64))))) y) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) y) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) y) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) y) y) (*.f64 y y)) |
(/.f64 (fma.f64 (neg.f64 x) y y) (*.f64 y y)) |
(/.f64 (-.f64 (neg.f64 x) #s(literal -1 binary64)) y) |
(/.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(/.f64 (/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) y) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) y))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))) y) |
(/.f64 (neg.f64 (fma.f64 y x y)) (*.f64 y y)) |
(/.f64 (-.f64 x #s(literal -1 binary64)) y) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) y)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) y)) |
(/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) y) |
(/.f64 (fma.f64 y x y) (*.f64 y y)) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(fma.f64 (/.f64 x y) #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(fma.f64 (/.f64 x y) #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64)))))) (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (*.f64 y x) (*.f64 y y)) (/.f64 y (*.f64 y y))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1 binary64)) y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) y))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) y)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) y))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) y) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) y)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) y) (/.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) y)) |
(-.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
(+.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64)))) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) (*.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))) (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(-.f64 #s(literal -1 binary64) (neg.f64 x)) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal -1 binary64) x))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 binary64)) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 y y)) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
Compiled 15 651 to 2 066 computations (86.8% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 562 | 12 | 574 |
| Fresh | 1 | 0 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 566 | 15 | 581 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ▶ | 47.4% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) |
| ✓ | 54.6% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
| ✓ | 46.4% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| 37.1% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) | |
| ▶ | 47.5% | #s(approx (/ (- x y) (- 1 y)) (-.f64 x (fma.f64 y x y))) |
| ▶ | 53.0% | #s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y)))) |
| 36.6% | #s(approx (/ (- x y) (- 1 y)) (+.f64 (fma.f64 y x y) x)) | |
| ▶ | 11.9% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
| 37.2% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) | |
| 37.2% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) | |
| 11.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (- 1 (/ (- x 1) y)) (/.f64 (neg.f64 x) y))) | |
| 12.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (*.f64 (-.f64 x #s(literal 1 binary64)) y))) | |
| ▶ | 12.7% | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) |
| 33.0% | #s(approx (* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
Compiled 477 to 318 computations (33.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y x y) | |
| cost-diff | 0 | (-.f64 x (fma.f64 y x y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (-.f64 x (fma.f64 y x y))) | |
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal -1 binary64) y) y) | |
| cost-diff | 0 | #s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) | |
| cost-diff | 0 | #s(approx (+ -1 x) #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ (- x 1) y) (/.f64 x y)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 174 |
| 0 | 41 | 174 |
| 1 | 59 | 174 |
| 2 | 85 | 174 |
| 3 | 164 | 174 |
| 4 | 321 | 174 |
| 5 | 690 | 174 |
| 6 | 1310 | 174 |
| 7 | 2060 | 174 |
| 8 | 2270 | 174 |
| 9 | 2436 | 174 |
| 10 | 2592 | 174 |
| 11 | 2602 | 174 |
| 12 | 2602 | 174 |
| 13 | 2714 | 174 |
| 14 | 3010 | 174 |
| 15 | 3010 | 174 |
| 0 | 3010 | 172 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y))) |
#s(literal 1 binary64) |
#s(approx (/ (- x 1) y) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) |
#s(approx (+ (* (+ -1 x) y) x) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) |
(fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x) |
#s(approx (+ -1 x) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(approx (/ (- x y) (- 1 y)) (-.f64 x (fma.f64 y x y))) |
(-.f64 x (fma.f64 y x y)) |
x |
(fma.f64 y x y) |
y |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y))) |
#s(literal 1 binary64) |
#s(approx (/ (- x 1) y) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) |
#s(approx (+ (* (+ -1 x) y) x) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) |
(fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x) |
#s(approx (+ -1 x) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(approx (/ (- x y) (- 1 y)) (-.f64 x (fma.f64 y x y))) |
(-.f64 x (fma.f64 y x y)) |
x |
(fma.f64 y x y) |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 y x y) | |
| accuracy | 0.0078125 | (-.f64 x (fma.f64 y x y)) | |
| accuracy | 33.6083801173443 | #s(approx (/ (- x y) (- 1 y)) (-.f64 x (fma.f64 y x y))) | |
| accuracy | 0.0 | (-.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.015625 | (*.f64 (-.f64 #s(literal -1 binary64) y) y) | |
| accuracy | 29.053905023480876 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) | |
| accuracy | 34.00218433023245 | #s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) | |
| accuracy | 0.00390625 | (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x) | |
| accuracy | 30.264122230806098 | #s(approx (+ -1 x) #s(literal -1 binary64)) | |
| accuracy | 33.55727446240736 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 33.55727446240736 | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) | |
| accuracy | 35.98917140377495 | #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y))) | |
| accuracy | 30.231479082828624 | #s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y)))) | |
| accuracy | 32.07965326187832 | #s(approx (/ (- x 1) y) (/.f64 x y)) |
| 47.0ms | 256× | 0 | valid |
Compiled 107 to 24 computations (77.6% saved)
ival-add: 10.0ms (29.6% of total)ival-div: 9.0ms (26.7% of total)ival-sub: 7.0ms (20.7% of total)ival-mult: 5.0ms (14.8% of total)ival-neg: 1.0ms (3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y))) |
#s(approx (/ (- x 1) y) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) |
#s(approx (+ (* (+ -1 x) y) x) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) |
(fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x) |
#s(approx (+ -1 x) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(-.f64 #s(literal -1 binary64) y) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 x (fma.f64 y x y))) |
(-.f64 x (fma.f64 y x y)) |
(fma.f64 y x y) |
| Outputs |
|---|
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ 1 (/ 1 y)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(/ -1 y) |
(- (/ x y) (/ 1 y)) |
(/ x y) |
(* -1 y) |
(+ (* -1 y) (* x (+ 1 y))) |
-1 |
(- x 1) |
(- (* x (- 1 y)) y) |
y |
(+ y (* x y)) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* -1 (/ x y)) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 y)) |
(* x (- (+ 1 (* -1 (/ y x))) y)) |
(* x y) |
(* x (+ y (/ y x))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (- (/ y x) (+ 1 (* -1 y))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(/ (- 1 x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- x 1) y) |
(+ x (* y (- x 1))) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(- (* -1 y) 1) |
(+ x (* -1 (* y (+ 1 x)))) |
(* y (+ 1 x)) |
1 |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(* y (- x 1)) |
(* y (- (+ x (/ x y)) 1)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 x))) |
(* y (- (/ x y) (+ 1 x))) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(* -1 (* y (- 1 (* -1 x)))) |
(* -1 (* y (- (+ 1 (* -1 (/ x y))) (* -1 x)))) |
(* -1 (* y (- (* -1 x) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | ((/ (- x y) (- 1 y)) (- 1 (/ (- x 1) y)) (/ (- x 1) y) (/ x y) (/ (- x y) (- 1 y)) (+ (* (+ -1 x) y) x) (neg y) (/ (- x y) (- 1 y)) (+ (* (+ -1 x) y) x) (+ -1 x) (/ (- x y) (- 1 y)) (/ y (+ -1 y)) (* (- -1 y) y) (- -1 y) (/ (- x y) (- 1 y)) (- x (+ (* y x) y)) (+ (* y x) y)) |
| 2.0ms | y | @ | -inf | ((/ (- x y) (- 1 y)) (- 1 (/ (- x 1) y)) (/ (- x 1) y) (/ x y) (/ (- x y) (- 1 y)) (+ (* (+ -1 x) y) x) (neg y) (/ (- x y) (- 1 y)) (+ (* (+ -1 x) y) x) (+ -1 x) (/ (- x y) (- 1 y)) (/ y (+ -1 y)) (* (- -1 y) y) (- -1 y) (/ (- x y) (- 1 y)) (- x (+ (* y x) y)) (+ (* y x) y)) |
| 2.0ms | x | @ | -inf | ((/ (- x y) (- 1 y)) (- 1 (/ (- x 1) y)) (/ (- x 1) y) (/ x y) (/ (- x y) (- 1 y)) (+ (* (+ -1 x) y) x) (neg y) (/ (- x y) (- 1 y)) (+ (* (+ -1 x) y) x) (+ -1 x) (/ (- x y) (- 1 y)) (/ y (+ -1 y)) (* (- -1 y) y) (- -1 y) (/ (- x y) (- 1 y)) (- x (+ (* y x) y)) (+ (* y x) y)) |
| 1.0ms | x | @ | inf | ((/ (- x y) (- 1 y)) (- 1 (/ (- x 1) y)) (/ (- x 1) y) (/ x y) (/ (- x y) (- 1 y)) (+ (* (+ -1 x) y) x) (neg y) (/ (- x y) (- 1 y)) (+ (* (+ -1 x) y) x) (+ -1 x) (/ (- x y) (- 1 y)) (/ y (+ -1 y)) (* (- -1 y) y) (- -1 y) (/ (- x y) (- 1 y)) (- x (+ (* y x) y)) (+ (* y x) y)) |
| 1.0ms | y | @ | 0 | ((/ (- x y) (- 1 y)) (- 1 (/ (- x 1) y)) (/ (- x 1) y) (/ x y) (/ (- x y) (- 1 y)) (+ (* (+ -1 x) y) x) (neg y) (/ (- x y) (- 1 y)) (+ (* (+ -1 x) y) x) (+ -1 x) (/ (- x y) (- 1 y)) (/ y (+ -1 y)) (* (- -1 y) y) (- -1 y) (/ (- x y) (- 1 y)) (- x (+ (* y x) y)) (+ (* y x) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 178 | 604 |
| 1 | 540 | 545 |
| 2 | 1711 | 500 |
| 3 | 6363 | 496 |
| 0 | 8225 | 471 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ 1 (/ 1 y)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(/ -1 y) |
(- (/ x y) (/ 1 y)) |
(/ x y) |
(* -1 y) |
(+ (* -1 y) (* x (+ 1 y))) |
-1 |
(- x 1) |
(- (* x (- 1 y)) y) |
y |
(+ y (* x y)) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* -1 (/ x y)) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 y)) |
(* x (- (+ 1 (* -1 (/ y x))) y)) |
(* x y) |
(* x (+ y (/ y x))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (- (/ y x) (+ 1 (* -1 y))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(/ (- 1 x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- x 1) y) |
(+ x (* y (- x 1))) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(- (* -1 y) 1) |
(+ x (* -1 (* y (+ 1 x)))) |
(* y (+ 1 x)) |
1 |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(* y (- x 1)) |
(* y (- (+ x (/ x y)) 1)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 x))) |
(* y (- (/ x y) (+ 1 x))) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(* -1 (* y (- 1 (* -1 x)))) |
(* -1 (* y (- (+ 1 (* -1 (/ x y))) (* -1 x)))) |
(* -1 (* y (- (* -1 x) 1))) |
| Outputs |
|---|
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(+ 1 (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (/ x y) (/ 1 y)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ x y) |
(/.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(+ (* -1 y) (* x (+ 1 y))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) y x) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- (* x (- 1 y)) y) |
(-.f64 x (fma.f64 y x y)) |
y |
(+ y (* x y)) |
(fma.f64 y x y) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) y x) |
x |
(* x (- 1 (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- (+ 1 (* -1 (/ y x))) y)) |
(-.f64 x (fma.f64 y x y)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(-.f64 (/.f64 (+.f64 (/.f64 x y) x) x) (/.f64 x y)) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) y x) |
(* -1 (* x (- (/ 1 x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (/ y x) (+ 1 (* -1 y))))) |
(*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 y x) y) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal -1 binary64) x) y x) #s(literal 1 binary64)) y x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal -1 binary64) x) y x) #s(literal 1 binary64)) y x) #s(literal 1 binary64)) y x) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- (+ 1 y) x) y) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(+ x (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* y (- (* -1 y) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64)) y) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) y) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
(+ x (* -1 (* y (+ 1 x)))) |
(-.f64 x (fma.f64 y x y)) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) x) y)) #s(literal 1 binary64)) y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(* y (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* y (- (+ x (/ x y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
(+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
(* -1 (* y (+ 1 x))) |
(neg.f64 (fma.f64 y x y)) |
(* y (- (/ x y) (+ 1 x))) |
(*.f64 (-.f64 (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) y) |
(+ 1 (* -1 (/ (- x 1) y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) x) y)) #s(literal 1 binary64)) y)) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) y) y) #s(literal 1 binary64)) y)) |
(* -1 (* y (- 1 (* -1 x)))) |
(neg.f64 (fma.f64 y x y)) |
(* -1 (* y (- (+ 1 (* -1 (/ x y))) (* -1 x)))) |
(-.f64 x (fma.f64 y x y)) |
(* -1 (* y (- (* -1 x) 1))) |
(*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 163 |
| 0 | 41 | 163 |
| 1 | 171 | 163 |
| 2 | 1259 | 163 |
| 0 | 8335 | 161 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y))) |
#s(approx (/ (- x 1) y) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) |
#s(approx (+ (* (+ -1 x) y) x) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) |
(fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x) |
#s(approx (+ -1 x) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(-.f64 #s(literal -1 binary64) y) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 x (fma.f64 y x y))) |
(-.f64 x (fma.f64 y x y)) |
(fma.f64 y x y) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 2 binary64))) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y))) |
(+.f64 (pow.f64 (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 #s(approx (/ (- x 1) y) (/.f64 x y))) #s(approx (/ (- x 1) y) (/.f64 x y))) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y))) |
#s(approx (/ (- x 1) y) (/.f64 x y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) |
#s(approx (+ (* (+ -1 x) y) x) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(neg.f64 y) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) x)) (/.f64 (pow.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 #s(approx (+ -1 x) #s(literal -1 binary64))) y) (*.f64 (neg.f64 #s(approx (+ -1 x) #s(literal -1 binary64))) y))) (+.f64 x (*.f64 (neg.f64 #s(approx (+ -1 x) #s(literal -1 binary64))) y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) #s(approx (+ -1 x) #s(literal -1 binary64))) (*.f64 (neg.f64 y) #s(approx (+ -1 x) #s(literal -1 binary64))))) (+.f64 x (*.f64 (neg.f64 y) #s(approx (+ -1 x) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y)) (pow.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y)) (pow.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y)) (pow.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y)) (pow.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y)) (pow.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y)) (pow.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) x)) (/.f64 (pow.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) x)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y) x)))))) |
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(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (+.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) y))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(-.f64 #s(literal -1 binary64) y) |
(+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal -1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 x (fma.f64 y x y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (fma.f64 y x y) x)) (/.f64 (*.f64 x x) (+.f64 (fma.f64 y x y) x))) (*.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (+.f64 (fma.f64 y x y) x)) (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (+.f64 (fma.f64 y x y) x)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 (fma.f64 y x y) x)) (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (+.f64 (fma.f64 y x y) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (-.f64 x y) (*.f64 y x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 (fma.f64 y x y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (+.f64 (fma.f64 y x y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (fma.f64 y x y) x)) (/.f64 (*.f64 x x) (+.f64 (fma.f64 y x y) x)) (fma.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (+.f64 (fma.f64 y x y) x)) (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (+.f64 (fma.f64 y x y) x)) (*.f64 (/.f64 (*.f64 x x) (+.f64 (fma.f64 y x y) x)) (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (+.f64 (fma.f64 y x y) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x))))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 x y) (-.f64 x y) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 x y) (*.f64 y x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (+.f64 (-.f64 x (*.f64 y x)) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 x (*.f64 y x)) y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 y x y) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 y x y) x)) (*.f64 (+.f64 (fma.f64 y x y) x) (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) (*.f64 (+.f64 (fma.f64 y x y) x) (+.f64 (fma.f64 y x y) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x))) (*.f64 (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x)) (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x)) (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y y)) (+.f64 (-.f64 x (*.f64 y x)) y)) |
(/.f64 (-.f64 (pow.f64 (-.f64 x (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 x (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 x (*.f64 y x)) y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 y x y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (+.f64 (fma.f64 y x y) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y x y) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 (-.f64 x (*.f64 y x)) #s(literal 2 binary64)) (+.f64 (-.f64 x (*.f64 y x)) y)) (/.f64 (*.f64 y y) (+.f64 (-.f64 x (*.f64 y x)) y))) |
(-.f64 (/.f64 (pow.f64 (-.f64 x (*.f64 y x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 x (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 x (*.f64 y x)) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 x (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 x (*.f64 y x)) y))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (fma.f64 y x y) x)) (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (+.f64 (fma.f64 y x y) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x y) (+.f64 (fma.f64 y x y) x) (*.f64 x x)))) |
(-.f64 (-.f64 x (*.f64 y x)) y) |
(-.f64 (-.f64 x y) (*.f64 y x)) |
(-.f64 x (fma.f64 y x y)) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 (fma.f64 y x y) x)) (/.f64 (*.f64 (neg.f64 (fma.f64 y x y)) (fma.f64 y x y)) (+.f64 (fma.f64 y x y) x))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) y) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 y (*.f64 (neg.f64 y) x))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y))) (+.f64 y (*.f64 (neg.f64 x) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64))) (fma.f64 y y (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x) (*.f64 y (*.f64 (neg.f64 y) x))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 y y (fma.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y) (*.f64 y (*.f64 (neg.f64 x) y))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 (*.f64 y x) y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (*.f64 (-.f64 (*.f64 y x) y) (*.f64 y y))) (pow.f64 (-.f64 (*.f64 y x) y) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 y (*.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 y x) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 y x) y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1 binary64) y (*.f64 y x)) |
(fma.f64 y #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 y x y) |
(fma.f64 x y y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 y (*.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y))) |
(-.f64 y (*.f64 (neg.f64 y) x)) |
(-.f64 y (*.f64 (neg.f64 x) y)) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 y x) y))) |
(+.f64 (*.f64 y x) y) |
(+.f64 y (*.f64 y x)) |
Compiled 8 762 to 1 022 computations (88.3% saved)
15 alts after pruning (8 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 217 | 3 | 220 |
| Fresh | 2 | 5 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 220 | 15 | 235 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | 47.4% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) |
| ✓ | 54.6% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
| ✓ | 46.4% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| 37.1% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) | |
| ✓ | 53.0% | #s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y)))) |
| ✓ | 11.9% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
| 2.4% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) #s(approx (* (- -1 y) y) (*.f64 (neg.f64 y) y)))) | |
| ▶ | 37.2% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
| ▶ | 37.2% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
| ▶ | 13.0% | #s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (neg.f64 (fma.f64 y x y)))) |
| 11.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (- 1 (/ (- x 1) y)) (/.f64 (neg.f64 x) y))) | |
| ✓ | 12.7% | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) |
| ▶ | 43.7% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
| ▶ | 33.0% | #s(approx (* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
Compiled 415 to 274 computations (34% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | #s(approx (* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) | |
| cost-diff | 1 | (neg.f64 (-.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 5 | (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) | |
| cost-diff | 0 | (fma.f64 y x x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 y x x) y x) | |
| cost-diff | 0 | #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) | |
| cost-diff | 0 | (fma.f64 y x y) | |
| cost-diff | 0 | (neg.f64 (fma.f64 y x y)) | |
| cost-diff | 0 | #s(approx (- x (+ (* y x) y)) (neg.f64 (fma.f64 y x y))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (neg.f64 (fma.f64 y x y)))) | |
| cost-diff | 0 | (fma.f64 y x x) | |
| cost-diff | 0 | #s(approx (/ x (- 1 y)) (fma.f64 y x x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 191 |
| 0 | 44 | 189 |
| 1 | 92 | 189 |
| 2 | 230 | 188 |
| 3 | 763 | 171 |
| 4 | 2888 | 171 |
| 0 | 8242 | 171 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ x (- 1 y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (neg.f64 (fma.f64 y x y)))) |
#s(approx (- x (+ (* y x) y)) (neg.f64 (fma.f64 y x y))) |
(neg.f64 (fma.f64 y x y)) |
(fma.f64 y x y) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) |
(fma.f64 (fma.f64 y x x) y x) |
(fma.f64 y x x) |
y |
x |
#s(approx (* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) |
(neg.f64 (-.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 y (fma.f64 y y #s(literal -1 binary64))) |
(fma.f64 y y #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ x (- 1 y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (neg.f64 (fma.f64 y x y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (*.f64 (-.f64 #s(literal -1 binary64) x) y))) |
#s(approx (- x (+ (* y x) y)) (neg.f64 (fma.f64 y x y))) |
#s(approx (- x (+ (* y x) y)) (*.f64 (-.f64 #s(literal -1 binary64) x) y)) |
(neg.f64 (fma.f64 y x y)) |
(*.f64 (-.f64 #s(literal -1 binary64) x) y) |
(fma.f64 y x y) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) |
(fma.f64 (fma.f64 y x x) y x) |
(fma.f64 y x x) |
y |
x |
#s(approx (* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
#s(approx (* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(neg.f64 (-.f64 #s(literal -1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 y (fma.f64 y y #s(literal -1 binary64))) |
(fma.f64 y y #s(literal -1 binary64)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 (-.f64 #s(literal -1 binary64) y)) | |
| accuracy | 0.1015625 | (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) | |
| accuracy | 14.214652670296074 | (/.f64 y (fma.f64 y y #s(literal -1 binary64))) | |
| accuracy | 29.053905023480876 | #s(approx (* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) | |
| accuracy | 0.0 | (fma.f64 y x x) | |
| accuracy | 0.0625 | (fma.f64 (fma.f64 y x x) y x) | |
| accuracy | 33.19109791021753 | #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) | |
| accuracy | 34.3072516726307 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) | |
| accuracy | 0.0 | (fma.f64 y x y) | |
| accuracy | 0.0 | (neg.f64 (fma.f64 y x y)) | |
| accuracy | 23.07876216574509 | #s(approx (- x (+ (* y x) y)) (neg.f64 (fma.f64 y x y))) | |
| accuracy | 33.6083801173443 | #s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (neg.f64 (fma.f64 y x y)))) | |
| accuracy | 0.0 | (fma.f64 y x x) | |
| accuracy | 33.57173656320776 | #s(approx (/ x (- 1 y)) (fma.f64 y x x)) | |
| accuracy | 34.3072516726307 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) | |
| accuracy | 36.05302552474741 | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
| 110.0ms | 256× | 0 | valid |
Compiled 132 to 28 computations (78.8% saved)
ival-add: 43.0ms (44.5% of total)ival-mult: 39.0ms (40.4% of total)ival-div: 7.0ms (7.2% of total)ival-sub: 5.0ms (5.2% of total)ival-neg: 2.0ms (2.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ x (- 1 y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (neg.f64 (fma.f64 y x y)))) |
#s(approx (- x (+ (* y x) y)) (neg.f64 (fma.f64 y x y))) |
(neg.f64 (fma.f64 y x y)) |
(fma.f64 y x y) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) |
(fma.f64 (fma.f64 y x x) y x) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) |
(neg.f64 (-.f64 #s(literal -1 binary64) y)) |
#s(approx (* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(-.f64 #s(literal -1 binary64) y) |
(/.f64 y (fma.f64 y y #s(literal -1 binary64))) |
| Outputs |
|---|
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(* x (+ 1 y)) |
(* -1 y) |
(- (* x (- 1 y)) y) |
(- (* -1 (* x y)) y) |
y |
(+ y (* x y)) |
(* x (+ 1 (* y (+ 1 y)))) |
(* -1 (/ (* y (- (* -1 y) 1)) (- (pow y 2) 1))) |
(+ (* -1 (/ (* y (- (* -1 y) 1)) (- (pow y 2) 1))) (* x (- (* -1 (/ y (- (pow y 2) 1))) (/ 1 (- (pow y 2) 1))))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (- 1 y)) |
(* x (- (+ 1 (* -1 (/ y x))) y)) |
(* -1 (* x y)) |
(* x (- (* -1 (/ y x)) y)) |
(* x y) |
(* x (+ y (/ y x))) |
(/ (* x (- (* -1 y) 1)) (- (pow y 2) 1)) |
(* x (- (+ (* -1 (/ y (- (pow y 2) 1))) (* -1 (/ (* y (- (* -1 y) 1)) (* x (- (pow y 2) 1))))) (/ 1 (- (pow y 2) 1)))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (* -1 y) 1))) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (- (/ y x) (+ 1 (* -1 y))))) |
(* -1 (* x (- (/ y x) (* -1 y)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(* -1 (* x (+ (* -1 (/ (- (* -1 y) 1) (- (pow y 2) 1))) (/ (* y (- (* -1 y) 1)) (* x (- (pow y 2) 1)))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(+ x (* -1 (* y (+ 1 x)))) |
(* -1 (* y (+ 1 x))) |
(* y (+ 1 x)) |
(+ x (* y (+ x (* x y)))) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
1 |
(+ 1 y) |
(+ x (* y (+ (* -1 (* y (+ 1 (* -1 x)))) (* -1 (+ 1 (* -1 x)))))) |
(+ x (* y (+ (* -1 (+ 1 (* -1 x))) (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))))) |
-1 |
(- (* -1 y) 1) |
(* y (- (* -1 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(* y (+ x (/ x y))) |
(* y (- (/ x y) (+ 1 x))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x y))) |
(* (pow y 2) (+ x (+ (/ x y) (/ x (pow y 2))))) |
(+ 1 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
(* y (+ 1 (/ 1 y))) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 2))))) |
(+ 1 (+ (* -1 (/ (- x 1) y)) (+ (* -1 (/ (- x 1) (pow y 2))) (* -1 (/ (- x 1) (pow y 3)))))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(/ 1 y) |
(/ (+ 1 (/ 1 (pow y 2))) y) |
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y) |
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 (/ (+ x (/ x y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (- 1 (* -1 x)))) |
(* -1 (* y (- (+ 1 (* -1 (/ x y))) (* -1 x)))) |
(* -1 (* y (- (* -1 x) 1))) |
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (- x (+ (* y x) y)) (neg (+ (* y x) y)) (+ (* y x) y) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y x) x) y) x) (* (neg (- -1 y)) (/ y (+ (* y y) -1))) (neg (- -1 y)) (* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (- -1 y) (/ y (+ (* y y) -1))) |
| 2.0ms | x | @ | inf | ((/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (- x (+ (* y x) y)) (neg (+ (* y x) y)) (+ (* y x) y) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y x) x) y) x) (* (neg (- -1 y)) (/ y (+ (* y y) -1))) (neg (- -1 y)) (* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (- -1 y) (/ y (+ (* y y) -1))) |
| 2.0ms | y | @ | -inf | ((/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (- x (+ (* y x) y)) (neg (+ (* y x) y)) (+ (* y x) y) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y x) x) y) x) (* (neg (- -1 y)) (/ y (+ (* y y) -1))) (neg (- -1 y)) (* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (- -1 y) (/ y (+ (* y y) -1))) |
| 1.0ms | x | @ | 0 | ((/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (- x (+ (* y x) y)) (neg (+ (* y x) y)) (+ (* y x) y) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y x) x) y) x) (* (neg (- -1 y)) (/ y (+ (* y y) -1))) (neg (- -1 y)) (* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (- -1 y) (/ y (+ (* y y) -1))) |
| 1.0ms | y | @ | inf | ((/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (- x (+ (* y x) y)) (neg (+ (* y x) y)) (+ (* y x) y) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y x) x) y) x) (* (neg (- -1 y)) (/ y (+ (* y y) -1))) (neg (- -1 y)) (* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (- -1 y) (/ y (+ (* y y) -1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 278 | 1083 |
| 1 | 911 | 970 |
| 2 | 2947 | 853 |
| 0 | 8505 | 812 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(* x (+ 1 y)) |
(* -1 y) |
(- (* x (- 1 y)) y) |
(- (* -1 (* x y)) y) |
y |
(+ y (* x y)) |
(* x (+ 1 (* y (+ 1 y)))) |
(* -1 (/ (* y (- (* -1 y) 1)) (- (pow y 2) 1))) |
(+ (* -1 (/ (* y (- (* -1 y) 1)) (- (pow y 2) 1))) (* x (- (* -1 (/ y (- (pow y 2) 1))) (/ 1 (- (pow y 2) 1))))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (- 1 y)) |
(* x (- (+ 1 (* -1 (/ y x))) y)) |
(* -1 (* x y)) |
(* x (- (* -1 (/ y x)) y)) |
(* x y) |
(* x (+ y (/ y x))) |
(/ (* x (- (* -1 y) 1)) (- (pow y 2) 1)) |
(* x (- (+ (* -1 (/ y (- (pow y 2) 1))) (* -1 (/ (* y (- (* -1 y) 1)) (* x (- (pow y 2) 1))))) (/ 1 (- (pow y 2) 1)))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (* -1 y) 1))) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (- (/ y x) (+ 1 (* -1 y))))) |
(* -1 (* x (- (/ y x) (* -1 y)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(* -1 (* x (+ (* -1 (/ (- (* -1 y) 1) (- (pow y 2) 1))) (/ (* y (- (* -1 y) 1)) (* x (- (pow y 2) 1)))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(+ x (* -1 (* y (+ 1 x)))) |
(* -1 (* y (+ 1 x))) |
(* y (+ 1 x)) |
(+ x (* y (+ x (* x y)))) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
1 |
(+ 1 y) |
(+ x (* y (+ (* -1 (* y (+ 1 (* -1 x)))) (* -1 (+ 1 (* -1 x)))))) |
(+ x (* y (+ (* -1 (+ 1 (* -1 x))) (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))))) |
-1 |
(- (* -1 y) 1) |
(* y (- (* -1 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(* y (+ x (/ x y))) |
(* y (- (/ x y) (+ 1 x))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x y))) |
(* (pow y 2) (+ x (+ (/ x y) (/ x (pow y 2))))) |
(+ 1 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
(* y (+ 1 (/ 1 y))) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 2))))) |
(+ 1 (+ (* -1 (/ (- x 1) y)) (+ (* -1 (/ (- x 1) (pow y 2))) (* -1 (/ (- x 1) (pow y 3)))))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(/ 1 y) |
(/ (+ 1 (/ 1 (pow y 2))) y) |
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y) |
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 (/ (+ x (/ x y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (- 1 (* -1 x)))) |
(* -1 (* y (- (+ 1 (* -1 (/ x y))) (* -1 x)))) |
(* -1 (* y (- (* -1 x) 1))) |
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) y)) |
| Outputs |
|---|
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* -1 y) |
(neg.f64 y) |
(- (* x (- 1 y)) y) |
(-.f64 x (fma.f64 y x y)) |
(- (* -1 (* x y)) y) |
(neg.f64 (fma.f64 y x y)) |
y |
(+ y (* x y)) |
(fma.f64 y x y) |
(* x (+ 1 (* y (+ 1 y)))) |
(fma.f64 (fma.f64 y x x) y x) |
(* -1 (/ (* y (- (* -1 y) 1)) (- (pow y 2) 1))) |
(/.f64 (fma.f64 y y y) (fma.f64 y y #s(literal -1 binary64))) |
(+ (* -1 (/ (* y (- (* -1 y) 1)) (- (pow y 2) 1))) (* x (- (* -1 (/ y (- (pow y 2) 1))) (/ 1 (- (pow y 2) 1))))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 x y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) y)) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- (+ 1 (* -1 (/ y x))) y)) |
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (- (* -1 (/ y x)) y)) |
(*.f64 (-.f64 (/.f64 (neg.f64 y) x) y) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ y x))) |
(*.f64 (+.f64 (/.f64 y x) y) x) |
(/ (* x (- (* -1 y) 1)) (- (pow y 2) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(* x (- (+ (* -1 (/ y (- (pow y 2) 1))) (* -1 (/ (* y (- (* -1 y) 1)) (* x (- (pow y 2) 1))))) (/ 1 (- (pow y 2) 1)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 y y #s(literal -1 binary64)))) x) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (/ y x) (+ 1 (* -1 y))))) |
(*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 y x) y) #s(literal 1 binary64))) |
(* -1 (* x (- (/ y x) (* -1 y)))) |
(*.f64 (-.f64 (/.f64 (neg.f64 y) x) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(*.f64 (+.f64 (/.f64 y x) y) x) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 (/ (- (* -1 y) 1) (- (pow y 2) 1))) (/ (* y (- (* -1 y) 1)) (* x (- (pow y 2) 1)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 y y #s(literal -1 binary64)))) x) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) x)) y x) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* y (- (* x y) (* -1 x)))) |
(fma.f64 (fma.f64 y x x) y x) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(fma.f64 (fma.f64 (fma.f64 y x x) y x) y x) |
(+ x (* -1 (* y (+ 1 x)))) |
(-.f64 x (fma.f64 y x y)) |
(* -1 (* y (+ 1 x))) |
(neg.f64 (fma.f64 y x y)) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(+ x (* y (+ x (* x y)))) |
(fma.f64 (fma.f64 y x x) y x) |
(* y (- (* -1 y) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64)) y) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ x (* y (+ (* -1 (* y (+ 1 (* -1 x)))) (* -1 (+ 1 (* -1 x)))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y) x) |
(+ x (* y (+ (* -1 (+ 1 (* -1 x))) (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) x)) y x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
(* y (- (* -1 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) y) |
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) y) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) y) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) x) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) x) y) x) y) |
(* y (+ x (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) x) y) |
(* y (- (/ x y) (+ 1 x))) |
(*.f64 (-.f64 (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x y))) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) x) y) y) |
(* (pow y 2) (+ x (+ (/ x y) (/ x (pow y 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) y) y) |
(+ 1 (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
(+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 (* -1 (/ (- x 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(+ 1 (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 2))))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (- x 1) y)) (+ (* -1 (/ (- x 1) (pow y 2))) (* -1 (/ (- x 1) (pow y 3)))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (/ 1 (pow y 2))) y) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) y) |
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64))) y) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)) |
(* -1 (/ (+ x (/ x y)) y)) |
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) x) y) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) x) y) x) y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(*.f64 (+.f64 (/.f64 x y) x) y) |
(* -1 (* y (- 1 (* -1 x)))) |
(neg.f64 (fma.f64 y x y)) |
(* -1 (* y (- (+ 1 (* -1 (/ x y))) (* -1 x)))) |
(*.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x)) y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)))) |
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) y) y) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) y)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) y) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64))) (neg.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 174 |
| 0 | 44 | 171 |
| 1 | 202 | 170 |
| 2 | 1605 | 155 |
| 0 | 9679 | 155 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ x (- 1 y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (neg.f64 (fma.f64 y x y)))) |
#s(approx (- x (+ (* y x) y)) (neg.f64 (fma.f64 y x y))) |
(neg.f64 (fma.f64 y x y)) |
(fma.f64 y x y) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) |
(fma.f64 (fma.f64 y x x) y x) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) |
(neg.f64 (-.f64 #s(literal -1 binary64) y)) |
#s(approx (* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(-.f64 #s(literal -1 binary64) y) |
(/.f64 y (fma.f64 y y #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ x (- 1 y)) (fma.f64 y x x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (-.f64 (*.f64 y x) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) x))))) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (neg.f64 (fma.f64 y x x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 y x) x)))) |
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(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)) |
(neg.f64 (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) y #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64)) |
(fma.f64 y (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64)) |
(expm1.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (log.f64 y) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(-.f64 #s(literal -1 binary64) y) |
(-.f64 y #s(literal 1 binary64)) |
(+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(+.f64 #s(literal -1 binary64) y) |
(+.f64 y #s(literal -1 binary64)) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (/.f64 y (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 y (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 y (neg.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 y (neg.f64 (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 y (fma.f64 y y #s(literal 1 binary64))) |
(/.f64 y (fma.f64 y y #s(literal -1 binary64))) |
(neg.f64 (/.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
Compiled 15 061 to 1 623 computations (89.2% saved)
15 alts after pruning (5 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 390 | 3 | 393 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 393 | 15 | 408 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | 47.4% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) |
| ✓ | 54.6% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
| ✓ | 46.4% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| 37.1% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) | |
| ✓ | 53.0% | #s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y)))) |
| ✓ | 11.9% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
| 2.4% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) #s(approx (* (- -1 y) y) (*.f64 (neg.f64 y) y)))) | |
| ✓ | 37.2% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
| ✓ | 37.2% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
| 11.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (/.f64 (neg.f64 x) y))) | |
| 4.1% | #s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (neg.f64 #s(approx (+ (* y x) y) (*.f64 y x))))) | |
| ✓ | 12.7% | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) |
| ✓ | 43.7% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
| 32.4% | #s(approx (* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (/.f64 (fma.f64 y y y) (fma.f64 y y #s(literal -1 binary64)))) |
Compiled 701 to 285 computations (59.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (neg.f64 #s(approx (+ (* y x) y) (*.f64 y x))))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) #s(approx (* (- -1 y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (*.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (neg.f64 (fma.f64 y x y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (+.f64 (fma.f64 y x y) x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 x (fma.f64 y x y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- 1 (/ (- x 1) y)) (/.f64 (neg.f64 x) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (/.f64 (neg.f64 x) y))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (neg.f64 y) #s(literal 1 binary64))) y x)) |
#s(approx (* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (/.f64 (fma.f64 y y y) (fma.f64 y y #s(literal -1 binary64)))) |
#s(approx (* (/ (- x y) (+ -1 (* y y))) (+ (* -1 y) -1)) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
3 calls:
| 101.0ms | y |
| 7.0ms | x |
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (neg.f64 #s(approx (+ (* y x) y) (*.f64 y x))))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) #s(approx (* (- -1 y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (*.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (neg.f64 (fma.f64 y x y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (+.f64 (fma.f64 y x y) x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 x (fma.f64 y x y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- 1 (/ (- x 1) y)) (/.f64 (neg.f64 x) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (/.f64 (neg.f64 x) y))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
3 calls:
| 6.0ms | y |
| 6.0ms | x |
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 79.8% | 3 | x |
| 97.6% | 3 | y |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (neg.f64 #s(approx (+ (* y x) y) (*.f64 y x))))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) #s(approx (* (- -1 y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (*.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (neg.f64 (fma.f64 y x y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (+.f64 (fma.f64 y x y) x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 x (fma.f64 y x y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- 1 (/ (- x 1) y)) (/.f64 (neg.f64 x) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (/.f64 (neg.f64 x) y))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y)))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y)))) |
1 calls:
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (neg.f64 #s(approx (+ (* y x) y) (*.f64 y x))))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) #s(approx (* (- -1 y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (*.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (neg.f64 (fma.f64 y x y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (+.f64 (fma.f64 y x y) x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 x (fma.f64 y x y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- 1 (/ (- x 1) y)) (/.f64 (neg.f64 x) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (/.f64 (neg.f64 x) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
2 calls:
| 5.0ms | y |
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 88.2% | 3 | y |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (neg.f64 #s(approx (+ (* y x) y) (*.f64 y x))))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) #s(approx (* (- -1 y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (*.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (neg.f64 (fma.f64 y x y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (+.f64 (fma.f64 y x y) x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 x (fma.f64 y x y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (-.f64 x (fma.f64 y x y))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 x (fma.f64 y x y))) |
2 calls:
| 10.0ms | y |
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.9% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 87.7% | 3 | y |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (neg.f64 #s(approx (+ (* y x) y) (*.f64 y x))))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) #s(approx (* (- -1 y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (*.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (- x (+ (* y x) y)) (neg.f64 (fma.f64 y x y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (+.f64 (fma.f64 y x y) x)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) |
1 calls:
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 3 | x |
| 77.8% | 3 | y |
| 80.1% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
3 calls:
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.7% | 1 | x |
| 53.0% | 3 | y |
| 53.4% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 10 computations (-11.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
2 calls:
| 1.0ms | y |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.7% | 1 | y |
| 43.7% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 8 to 8 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 0.5068875194013412 | 1.4103268070037294 |
| 10.0ms | -4.649106584980569 | -0.011602853516283623 |
| 8.0ms | 208× | 0 | valid |
Compiled 387 to 310 computations (19.9% saved)
ival-sub: 2.0ms (51.4% of total)ival-div: 1.0ms (25.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.5068875194013412 | 1.4103268070037294 |
| 7.0ms | -4.649106584980569 | -0.011602853516283623 |
| 4.0ms | 96× | 0 | valid |
Compiled 439 to 336 computations (23.5% saved)
ival-sub: 1.0ms (56.2% of total)ival-div: 1.0ms (56.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5068875194013412 | 1.4103268070037294 |
| 1.0ms | -4.649106584980569 | -0.011602853516283623 |
Compiled 309 to 271 computations (12.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 30.302495540222694 | 71573.566843305 |
| 0.0ms | 0.011469771438418402 | 0.8229808581309606 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 30.302495540222694 | 71573.566843305 |
| 0.0ms | 0.011469771438418402 | 0.8229808581309606 |
Compiled 10 to 11 computations (-10% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 30.302495540222694 | 71573.566843305 |
| 0.0ms | 0.011469771438418402 | 0.8229808581309606 |
| 0.0ms | -9.712001099360098e-200 | -1.270823151771759e-223 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.011469771438418402 | 0.8229808581309606 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 348 |
| 1 | 97 | 348 |
| 2 | 126 | 348 |
| 3 | 194 | 348 |
| 4 | 301 | 348 |
| 5 | 583 | 348 |
| 6 | 1057 | 348 |
| 7 | 3907 | 348 |
| 8 | 4771 | 348 |
| 9 | 4867 | 348 |
| 10 | 5041 | 348 |
| 11 | 5256 | 348 |
| 12 | 5475 | 348 |
| 13 | 5849 | 348 |
| 14 | 7202 | 348 |
| 15 | 7822 | 348 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x)) #s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x)) #s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y)))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 x (fma.f64 y x y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 50 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 x (fma.f64 y x y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 50 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -8618206661096855/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 50 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x)) #s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x))) |
(if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x)) #s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y)))))) |
(if (or (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (/ (- x y) (- 1 y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) y) (/.f64 x y)))) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 x (fma.f64 y x y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 50 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 x (fma.f64 y x y))))) |
(if (or (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5764607523034235/288230376151711744 binary64)) (not (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 50 binary64)))) #s(approx (/ (- x y) (- 1 y)) (-.f64 x (fma.f64 y x y))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 50 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)))) |
(if (or (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5764607523034235/288230376151711744 binary64)) (not (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 50 binary64)))) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -8618206661096855/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 50 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) y) x) (neg.f64 y))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 130 |
| 0 | 42 | 131 |
| 1 | 179 | 128 |
| 2 | 1390 | 128 |
| 0 | 9411 | 125 |
| 0 | 282 | 1064 |
| 1 | 903 | 945 |
| 2 | 2940 | 862 |
| 0 | 8316 | 824 |
| 0 | 178 | 604 |
| 1 | 540 | 545 |
| 2 | 1711 | 500 |
| 3 | 6363 | 496 |
| 0 | 8225 | 471 |
| 0 | 96 | 268 |
| 1 | 284 | 221 |
| 2 | 892 | 192 |
| 3 | 3209 | 186 |
| 0 | 8324 | 178 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 356 to 67 computations (81.2% saved)
Compiled 726 to 146 computations (79.9% saved)
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