
Time bar (total: 5.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 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)
| 396.0ms | 8 256× | 0 | valid |
ival-div: 121.0ms (52.8% of total)ival-add: 96.0ms (41.9% of total)ival-true: 5.0ms (2.2% of total)exact: 4.0ms (1.7% of total)ival-assert: 3.0ms (1.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 y #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | 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 |
| 21.0ms | 512× | 0 | valid |
Compiled 59 to 28 computations (52.5% saved)
ival-add: 5.0ms (53.9% of total)ival-div: 3.0ms (32.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 41 |
| 1 | 42 | 35 |
| 2 | 86 | 35 |
| 3 | 204 | 35 |
| 4 | 577 | 35 |
| 5 | 1216 | 35 |
| 6 | 1586 | 35 |
| 7 | 1979 | 35 |
| 8 | 2103 | 35 |
| 9 | 2174 | 35 |
| 10 | 2186 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 13 | 7 |
| 0 | 13 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (+.f64 y x) (+.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 y #s(literal 1 binary64))) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 13 | 16 |
| 0 | 13 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(+.f64 x y) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.01171875 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 10.0ms | 256× | 0 | valid |
Compiled 34 to 14 computations (58.8% saved)
ival-add: 3.0ms (67.5% of total)ival-div: 2.0ms (45% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(+.f64 x y) |
(+.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ x y) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
x |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
1 |
(+ 1 y) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ 1 y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 1.0ms | y | @ | -inf | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 1.0ms | x | @ | inf | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 0.0ms | y | @ | inf | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 0.0ms | x | @ | 0 | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 222 |
| 1 | 263 | 218 |
| 2 | 671 | 198 |
| 3 | 2447 | 180 |
| 0 | 8225 | 172 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ x y) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
x |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
1 |
(+ 1 y) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ 1 y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) |
y |
(+ x y) |
(+.f64 y x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 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) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (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 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (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))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) 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 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 43 | 13 |
| 2 | 307 | 13 |
| 3 | 3741 | 13 |
| 0 | 9904 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(+.f64 x y) |
(+.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x)) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (+.f64 y x) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (+.f64 y x) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) (-.f64 x y)) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (+.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 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (+.f64 y x) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 y x))) |
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(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (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 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal -1 binary64) y)) |
(fma.f64 (/.f64 (*.f64 y y) (-.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)) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (-.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) (-.f64 y #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.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 y #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 y #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #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 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (/.f64 y #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y))) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
Compiled 10 728 to 1 497 computations (86% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 480 | 4 | 484 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 480 | 5 | 485 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ▶ | 52.0% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
| ▶ | 51.9% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) |
| ▶ | 51.6% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
| ▶ | 50.3% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
Compiled 65 to 48 computations (26.2% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) | |
| 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) (+ y 1)) (/.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) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 115 |
| 0 | 30 | 115 |
| 1 | 47 | 115 |
| 2 | 80 | 115 |
| 3 | 197 | 115 |
| 4 | 432 | 115 |
| 5 | 947 | 115 |
| 6 | 2788 | 115 |
| 7 | 4106 | 115 |
| 8 | 4737 | 115 |
| 9 | 4965 | 115 |
| 10 | 5074 | 115 |
| 11 | 5123 | 115 |
| 12 | 5150 | 115 |
| 13 | 5151 | 115 |
| 14 | 5155 | 115 |
| 15 | 5155 | 115 |
| 16 | 5513 | 115 |
| 17 | 5650 | 115 |
| 18 | 5650 | 115 |
| 19 | 5650 | 115 |
| 0 | 5650 | 115 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (/.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) (+ y 1)) (/.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) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
(-.f64 y #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (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 |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
x |
(+.f64 #s(literal 1 binary64) y) |
(-.f64 y #s(literal -1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
y |
(+.f64 #s(literal 1 binary64) y) |
(-.f64 y #s(literal -1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) x)) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) x) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
(-.f64 y #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) y) x y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0078125 | (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) | |
| accuracy | 30.717554033915615 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) | |
| accuracy | 0.0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 x #s(literal 1 binary64)) y) | |
| accuracy | 0.015625 | (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x) | |
| accuracy | 30.80166116573923 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0078125 | (/.f64 y (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 31.003974137776375 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0078125 | (/.f64 x (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 31.809910213274062 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
| 44.0ms | 256× | 0 | valid |
Compiled 204 to 39 computations (80.9% saved)
ival-div: 18.0ms (55.4% of total)ival-add: 6.0ms (18.5% of total)ival-mult: 5.0ms (15.4% of total)ival-sub: 3.0ms (9.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (/.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) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (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) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(* -1 (* y (- y 1))) |
(+ (* -1 (* y (- y 1))) (* x (+ 1 (* y (- y 1))))) |
(* -1 y) |
(+ (* -1 y) (* x y)) |
-1 |
(- x 1) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
1 |
(+ 1 (* -1 x)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* y (- y 1)))) |
(* x (+ 1 (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1))))) |
(* x y) |
(* x (+ y (* -1 (/ y x)))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (* y (- y 1))) 1))) |
(* -1 (* x (- (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)) 1))) |
(* -1 (* x (+ (* -1 y) (/ y x)))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(+ 1 y) |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(+ x (* -1 (* y (- x 1)))) |
(+ x (* y (+ (* -1 (- x 1)) (* y (- x 1))))) |
(* y (- x 1)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(/ x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(* y (+ 1 (/ 1 y))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (* -1 (/ (- x 1) y))) 1)) |
(* (pow y 2) (- (+ x (+ (* -1 (/ (- x 1) y)) (/ x (pow y 2)))) 1)) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(* (pow y 2) (- (+ x (* -1 (/ (- (+ x (* -1 (/ x y))) 1) y))) 1)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 140.0ms | y | @ | -inf | ((/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (/ (+ x y) (+ y 1)) (+ (* (* (- x 1) y) (- y 1)) x) (* (- x 1) y) (- x 1) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x)) |
| 2.0ms | y | @ | inf | ((/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (/ (+ x y) (+ y 1)) (+ (* (* (- x 1) y) (- y 1)) x) (* (- x 1) y) (- x 1) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x)) |
| 2.0ms | x | @ | inf | ((/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (/ (+ x y) (+ y 1)) (+ (* (* (- x 1) y) (- y 1)) x) (* (- x 1) y) (- x 1) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x)) |
| 2.0ms | x | @ | -inf | ((/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (/ (+ x y) (+ y 1)) (+ (* (* (- x 1) y) (- y 1)) x) (* (- x 1) y) (- x 1) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x)) |
| 1.0ms | x | @ | 0 | ((/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (/ (+ x y) (+ y 1)) (+ (* (* (- x 1) y) (- y 1)) x) (* (- x 1) y) (- x 1) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 666 |
| 1 | 632 | 625 |
| 2 | 1700 | 577 |
| 3 | 6161 | 577 |
| 0 | 8200 | 553 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(* -1 (* y (- y 1))) |
(+ (* -1 (* y (- y 1))) (* x (+ 1 (* y (- y 1))))) |
(* -1 y) |
(+ (* -1 y) (* x y)) |
-1 |
(- x 1) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
1 |
(+ 1 (* -1 x)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* y (- y 1)))) |
(* x (+ 1 (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1))))) |
(* x y) |
(* x (+ y (* -1 (/ y x)))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (* y (- y 1))) 1))) |
(* -1 (* x (- (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)) 1))) |
(* -1 (* x (+ (* -1 y) (/ y x)))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(+ 1 y) |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(+ x (* -1 (* y (- x 1)))) |
(+ x (* y (+ (* -1 (- x 1)) (* y (- x 1))))) |
(* y (- x 1)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(/ x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(* y (+ 1 (/ 1 y))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (* -1 (/ (- x 1) y))) 1)) |
(* (pow y 2) (- (+ x (+ (* -1 (/ (- x 1) y)) (/ x (pow y 2)))) 1)) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(* (pow y 2) (- (+ x (* -1 (/ (- (+ x (* -1 (/ x y))) 1) y))) 1)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* y (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(+ (* -1 (* y (- y 1))) (* x (+ 1 (* y (- y 1))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) y) x) |
(* -1 y) |
(neg.f64 y) |
(+ (* -1 y) (* x y)) |
(fma.f64 y x (neg.f64 y)) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* x (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) y) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* -1 (/ y x)))) |
(fma.f64 y x (neg.f64 y)) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (* -1 y))) |
(fma.f64 (neg.f64 y) x x) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (* y (- y 1))) 1))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(* -1 (* x (- (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) y) x) |
(* -1 (* x (+ (* -1 y) (/ y x)))) |
(fma.f64 y x (neg.f64 y)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- y 1))) |
(fma.f64 (neg.f64 y) x x) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) y) x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (-.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x) y x) |
(+ x (* -1 (* x y))) |
(fma.f64 (neg.f64 y) x x) |
(+ x (* y (- (* x y) x))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) y x) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y) |
(+ x (* -1 (* y (- x 1)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (+ (* -1 (- x 1)) (* y (- x 1))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) y) x) |
(* y (- x 1)) |
(fma.f64 y x (neg.f64 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(-.f64 (-.f64 (/.f64 x y) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 y y))) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(+.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(- 1 (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(* (pow y 2) (- x 1)) |
(*.f64 (fma.f64 y x (neg.f64 y)) y) |
(* (pow y 2) (- (+ x (* -1 (/ (- x 1) y))) 1)) |
(*.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) y) y) |
(* (pow y 2) (- (+ x (+ (* -1 (/ (- x 1) y)) (/ x (pow y 2)))) 1)) |
(*.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) y) (-.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) 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 #s(literal 1 binary64) x)) y)) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x) y) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)) |
(* (pow y 2) (- (+ x (* -1 (/ (- (+ x (* -1 (/ x y))) 1) y))) 1)) |
(*.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) y) (-.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 98 |
| 0 | 30 | 98 |
| 1 | 140 | 98 |
| 2 | 1084 | 98 |
| 0 | 8570 | 98 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (/.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) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (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) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 x))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 x)))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) y x) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y x) |
(fma.f64 (/.f64 y (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (neg.f64 x) y)) |
(fma.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x y)) (*.f64 (neg.f64 x) y)) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) (*.f64 (neg.f64 x) y)) |
(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (neg.f64 x) y)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (fma.f64 (neg.f64 x) y x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (+.f64 y x)) (*.f64 (neg.f64 x) y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) y) x) |
(fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)))) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))) (*.f64 (neg.f64 x) y)) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) y)) |
(fma.f64 (neg.f64 y) (-.f64 x #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(fma.f64 #s(literal 1 binary64) (+.f64 y x) (*.f64 (neg.f64 x) y)) |
(fma.f64 #s(literal 1 binary64) y (fma.f64 (neg.f64 x) y x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 (+.f64 y x) #s(literal 1 binary64) (*.f64 (neg.f64 x) y)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
(fma.f64 y #s(literal 1 binary64) (fma.f64 (neg.f64 x) y x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) x) |
(+.f64 (+.f64 y x) (*.f64 (neg.f64 x) y)) |
(+.f64 y (fma.f64 (neg.f64 x) y x)) |
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.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))) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #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 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #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 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) #s(literal 3 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)) (fma.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)) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #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 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.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 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #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 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.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 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64)))) |
(-.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))))) |
(+.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
Compiled 16 726 to 2 071 computations (87.6% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 624 | 5 | 629 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 1 | 1 |
| Total | 626 | 8 | 634 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ▶ | 40.7% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
| ▶ | 52.0% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 51.6% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
| ✓ | 50.3% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
| ▶ | 12.9% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
| ▶ | 12.6% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
| ▶ | 13.1% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
Compiled 213 to 146 computations (31.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ x (+ 1 y)) (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- 1 x) (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) | |
| 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) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) 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) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 184 |
| 0 | 40 | 184 |
| 1 | 57 | 184 |
| 2 | 74 | 184 |
| 3 | 113 | 184 |
| 4 | 217 | 184 |
| 5 | 295 | 184 |
| 6 | 528 | 184 |
| 7 | 811 | 184 |
| 8 | 1024 | 184 |
| 9 | 1291 | 184 |
| 10 | 1637 | 184 |
| 11 | 1673 | 184 |
| 12 | 1691 | 184 |
| 13 | 1706 | 184 |
| 14 | 1707 | 184 |
| 0 | 1707 | 182 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (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) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #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) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
#s(approx (/ x (+ 1 y)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (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) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #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) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
#s(approx (/ x (+ 1 y)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 31.809910213274062 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) | |
| accuracy | 31.868769005732766 | #s(approx (/ x (+ 1 y)) (/.f64 x y)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0078125 | (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) | |
| accuracy | 30.717554033915615 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) | |
| accuracy | 32.81980045843361 | #s(approx (- 1 x) (neg.f64 x)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 #s(literal 1 binary64) y) y) | |
| accuracy | 30.993813007390877 | #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) | |
| accuracy | 31.003974137776375 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 25.013094514261834 | #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| accuracy | 30.717554033915615 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| accuracy | 0.0078125 | (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) | |
| accuracy | 29.856191091890093 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 30.717554033915615 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| 37.0ms | 256× | 0 | valid |
Compiled 291 to 49 computations (83.2% saved)
ival-div: 10.0ms (41% of total)ival-add: 7.0ms (28.7% of total)ival-mult: 3.0ms (12.3% of total)ival-sub: 2.0ms (8.2% of total)ival-neg: 1.0ms (4.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (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) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (/ (+ x y) (+ y 1)) #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) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
#s(approx (/ x (+ 1 y)) (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
1 |
(+ 1 (* -1 x)) |
(+ y (* -1 (* x y))) |
(* -1 x) |
(/ x (+ 1 y)) |
(/ x y) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (- (/ 1 x) 1)) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ y x))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(* y (- 1 x)) |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(+ 1 (* -1 y)) |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* y (- (+ 1 (/ x y)) x)) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (neg x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ x y)) |
| 1.0ms | y | @ | -inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (neg x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ x y)) |
| 1.0ms | x | @ | -inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (neg x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ x y)) |
| 1.0ms | y | @ | inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (neg x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ x y)) |
| 1.0ms | x | @ | 0 | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (neg x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 522 |
| 1 | 514 | 485 |
| 2 | 1299 | 451 |
| 3 | 4526 | 435 |
| 0 | 8340 | 419 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
1 |
(+ 1 (* -1 x)) |
(+ y (* -1 (* x y))) |
(* -1 x) |
(/ x (+ 1 y)) |
(/ x y) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (- (/ 1 x) 1)) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ y x))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(* y (- 1 x)) |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(+ 1 (* -1 y)) |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* y (- (+ 1 (/ x y)) x)) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 x) |
(neg.f64 x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) y (-.f64 #s(literal 1 binary64) x)) y x) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* y (- (* x y) x))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (-.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(- 1 (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(-.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (/ 1 y) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(/ (+ x (* -1 (/ x y))) y) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y)) y) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) 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 #s(literal 1 binary64) x)) y)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 172 |
| 0 | 40 | 172 |
| 1 | 155 | 172 |
| 2 | 1117 | 172 |
| 0 | 8500 | 170 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (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) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (/ (+ x y) (+ y 1)) #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) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
#s(approx (/ x (+ 1 y)) (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (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 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x 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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64))) (pow.f64 (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))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (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 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 2 binary64)))) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (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 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) 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 (*.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (*.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x 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 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)))) (neg.f64 (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 2 binary64)) (*.f64 x x)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64))) (fma.f64 x 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 (pow.f64 x #s(literal 3 binary64)) (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 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x 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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
(fma.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))) |
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
(fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))) |
(+.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) |
(+.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 y (*.f64 y (neg.f64 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 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 y (*.f64 y (neg.f64 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 (-.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y)) (*.f64 y (*.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y)) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 y (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 (neg.f64 x) y)) |
(fma.f64 #s(literal 1 binary64) y (*.f64 y (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 x) y)) |
(fma.f64 y #s(literal 1 binary64) (*.f64 y (neg.f64 x))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) y)) |
(+.f64 y (*.f64 y (neg.f64 x))) |
(+.f64 y (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y x)))) (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
(fma.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (neg.f64 x))))) |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
(fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (neg.f64 x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (neg.f64 x))))) |
(+.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x) |
(+.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
#s(approx (- 1 x) (neg.f64 x)) |
(*.f64 (neg.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 x x)) x) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
#s(approx (/ (+ x y) (+ y 1)) #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 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 x (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (neg.f64 y))) |
(/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 y y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 x y)) |
Compiled 11 252 to 1 589 computations (85.9% saved)
11 alts after pruning (3 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 348 | 3 | 351 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 348 | 11 | 359 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | 40.7% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
| ✓ | 52.0% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 51.6% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
| ✓ | 50.3% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
| ▶ | 12.9% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (+.f64 y (*.f64 (neg.f64 y) y)))) |
| ✓ | 12.9% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
| ▶ | 2.4% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
| ✓ | 12.6% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
| ✓ | 13.1% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| ▶ | 3.1% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
Compiled 191 to 127 computations (33.5% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (neg.f64 y) y) | |
| cost-diff | 0 | #s(approx (/ y (+ 1 y)) (+.f64 y (*.f64 (neg.f64 y) y))) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (+.f64 y (*.f64 (neg.f64 y) y)))) | |
| cost-diff | 128 | (+.f64 y (*.f64 (neg.f64 y) y)) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) | |
| cost-diff | 0 | #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) y) | |
| cost-diff | 0 | #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 160 |
| 0 | 32 | 160 |
| 1 | 55 | 157 |
| 2 | 80 | 157 |
| 3 | 118 | 157 |
| 4 | 216 | 157 |
| 5 | 373 | 157 |
| 6 | 540 | 157 |
| 7 | 761 | 157 |
| 8 | 1010 | 157 |
| 9 | 1192 | 157 |
| 10 | 1247 | 157 |
| 11 | 1259 | 157 |
| 12 | 1269 | 157 |
| 13 | 1271 | 157 |
| 0 | 1271 | 155 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))) |
#s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (+.f64 y (*.f64 (neg.f64 y) y)))) |
#s(approx (/ y (+ 1 y)) (+.f64 y (*.f64 (neg.f64 y) y))) |
(+.f64 y (*.f64 (neg.f64 y) y)) |
y |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))) |
#s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (+.f64 y (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ y (+ 1 y)) (+.f64 y (*.f64 (neg.f64 y) y))) |
#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) |
(+.f64 y (*.f64 (neg.f64 y) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
y |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.00390625 | (+.f64 y (*.f64 (neg.f64 y) y)) | |
| accuracy | 30.993813007390877 | #s(approx (/ y (+ 1 y)) (+.f64 y (*.f64 (neg.f64 y) y))) | |
| accuracy | 31.003974137776375 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (+.f64 y (*.f64 (neg.f64 y) y)))) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) | |
| accuracy | 30.993813007390877 | #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) | |
| accuracy | 31.003974137776375 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) | |
| accuracy | 31.962114856784844 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 25.013094514261834 | #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))) | |
| accuracy | 30.717554033915615 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) | |
| accuracy | 32.67271681796021 | #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)) |
| 34.0ms | 256× | 0 | valid |
Compiled 237 to 46 computations (80.6% saved)
ival-add: 6.0ms (30.2% of total)ival-mult: 6.0ms (30.2% of total)ival-div: 3.0ms (15.1% of total)ival-sub: 2.0ms (10.1% of total)ival-neg: 2.0ms (10.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))) |
#s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y) |
#s(approx (- 1 y) (neg.f64 y)) |
(+.f64 y (*.f64 (neg.f64 y) y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (+.f64 y (*.f64 (neg.f64 y) y)))) |
#s(approx (/ y (+ 1 y)) (+.f64 y (*.f64 (neg.f64 y) y))) |
(*.f64 (neg.f64 y) y) |
(neg.f64 x) |
(neg.f64 y) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* -1 (* x y))) |
(* -1 (* x y)) |
(* -1 x) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ (* -1 y) (/ y x))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(* y (- 1 x)) |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
1 |
(+ 1 (* -1 y)) |
(* -1 (pow y 2)) |
(* -1 y) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* y (- (+ 1 (/ x y)) x)) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(* -1 (* y (- 1 (/ 1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 62.0ms | x | @ | 0 | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (* (neg x) y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (- 1 y) y) (- 1 y) (+ y (* (neg y) y)) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (neg y) y) (neg x) (neg y)) |
| 2.0ms | y | @ | inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (* (neg x) y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (- 1 y) y) (- 1 y) (+ y (* (neg y) y)) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (neg y) y) (neg x) (neg y)) |
| 1.0ms | y | @ | -inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (* (neg x) y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (- 1 y) y) (- 1 y) (+ y (* (neg y) y)) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (neg y) y) (neg x) (neg y)) |
| 1.0ms | y | @ | 0 | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (* (neg x) y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (- 1 y) y) (- 1 y) (+ y (* (neg y) y)) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (neg y) y) (neg x) (neg y)) |
| 1.0ms | x | @ | inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (* (neg x) y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (- 1 y) y) (- 1 y) (+ y (* (neg y) y)) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (neg y) y) (neg x) (neg y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 398 |
| 1 | 395 | 376 |
| 2 | 1023 | 348 |
| 3 | 3521 | 324 |
| 0 | 8290 | 309 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* -1 (* x y))) |
(* -1 (* x y)) |
(* -1 x) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ (* -1 y) (/ y x))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(* y (- 1 x)) |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
1 |
(+ 1 (* -1 y)) |
(* -1 (pow y 2)) |
(* -1 y) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* y (- (+ 1 (/ x y)) x)) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(* -1 (* y (- 1 (/ 1 y)))) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 x) |
(neg.f64 x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (-.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x) y x) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 y) |
(neg.f64 y) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(- 1 (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) 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 #s(literal 1 binary64) x)) y)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 154 |
| 0 | 32 | 154 |
| 1 | 132 | 151 |
| 2 | 940 | 151 |
| 0 | 8866 | 149 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))) |
#s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y) |
#s(approx (- 1 y) (neg.f64 y)) |
(+.f64 y (*.f64 (neg.f64 y) y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (+.f64 y (*.f64 (neg.f64 y) y)))) |
#s(approx (/ y (+ 1 y)) (+.f64 y (*.f64 (neg.f64 y) y))) |
(*.f64 (neg.f64 y) y) |
(neg.f64 x) |
(neg.f64 y) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))) |
#s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 y x)) |
(*.f64 (neg.f64 y) x) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 x (neg.f64 y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))) |
(neg.f64 (*.f64 y x)) |
(fma.f64 y #s(literal 0 binary64) (*.f64 (neg.f64 x) y)) |
(fma.f64 x #s(literal 0 binary64) (*.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 y x)) |
(+.f64 (*.f64 x #s(literal 0 binary64)) (*.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 y #s(literal 0 binary64)) (*.f64 (neg.f64 x) y)) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y) |
(*.f64 y #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) y) (/.f64 (fma.f64 y y y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal -1 binary64) y)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))))) |
(*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y y) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) |
(*.f64 y (-.f64 #s(literal 1 binary64) y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (fma.f64 y y y)) (/.f64 (*.f64 y y) (fma.f64 y y y))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)))) (fma.f64 (/.f64 y y) (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (fma.f64 y y y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y y)) (/.f64 (*.f64 y y) (fma.f64 y y y)) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)) (*.f64 (/.f64 (*.f64 y y) (fma.f64 y y y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (*.f64 y (-.f64 #s(literal -1 binary64) y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 y y y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 y #s(literal 9 binary64))))) (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 y y y)) (*.f64 (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64))) (*.f64 y (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
(/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) (*.f64 y (-.f64 #s(literal -1 binary64) y)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (neg.f64 (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))))) |
(neg.f64 (fma.f64 y y (neg.f64 y))) |
(fma.f64 (/.f64 y y) (/.f64 y (+.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y y) y) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 (neg.f64 y) y)) |
(fma.f64 (*.f64 y y) (pow.f64 (fma.f64 y y y) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)))) |
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) |
(fma.f64 (neg.f64 y) y y) |
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 y) y)) |
(fma.f64 y (neg.f64 y) y) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (-.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 y y) (*.f64 y (-.f64 #s(literal -1 binary64) y)))) |
(-.f64 (/.f64 (*.f64 y y) (fma.f64 y y y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y))) |
(-.f64 y (*.f64 y y)) |
(+.f64 (/.f64 (*.f64 y y) (fma.f64 y y y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)))) |
(+.f64 (*.f64 (neg.f64 y) y) y) |
(+.f64 y (*.f64 (neg.f64 y) y)) |
#s(approx (/ (+ x y) (+ y 1)) #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 #s(literal -1 binary64) (*.f64 y y)) |
(*.f64 (neg.f64 y) y) |
(*.f64 y (neg.f64 y)) |
(/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 y y))) |
(/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y y))))) |
(neg.f64 (*.f64 y y)) |
(fma.f64 y #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
(+.f64 (*.f64 y #s(literal 0 binary64)) (*.f64 (neg.f64 y) y)) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 0 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 y)) |
(*.f64 y #s(literal -1 binary64)) |
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (*.f64 y y) (neg.f64 y)) |
(/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (*.f64 (neg.f64 y) y) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) |
(neg.f64 y) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y) |
(-.f64 (/.f64 #s(literal 0 binary64) y) y) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
Compiled 4 454 to 744 computations (83.3% saved)
12 alts after pruning (3 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 161 | 3 | 164 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 1 | 7 | 8 |
| Total | 163 | 12 | 175 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 52.0% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) y) x y)) | |
| ✓ | 40.7% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
| ✓ | 52.0% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 51.6% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
| ✓ | 50.3% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
| 12.9% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) | |
| ✓ | 2.4% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
| 13.4% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) | |
| ✓ | 12.6% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
| ✓ | 13.1% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| ✓ | 3.1% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
Compiled 483 to 206 computations (57.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) y) x y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (+.f64 y (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) |
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
3 calls:
| 6.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 5.0ms | x |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) y) x y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (+.f64 y (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
3 calls:
| 37.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 5.0ms | y |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.9% | 3 | x |
| 90.5% | 3 | y |
| 99.6% | 4 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) y) x y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (+.f64 y (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
1 calls:
| 4.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 4 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) y) x y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (+.f64 y (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
3 calls:
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.8% | 3 | x |
| 61.8% | 3 | y |
| 61.7% | 3 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) y) x y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (+.f64 y (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
3 calls:
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.0% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 52.0% | 1 | x |
| 61.6% | 3 | y |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) y) x y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (+.f64 y (*.f64 (neg.f64 y) y)))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
2 calls:
| 4.0ms | y |
| 3.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.0% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 52.0% | 1 | y |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
3 calls:
| 45.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.0% | 1 | y |
| 52.0% | 1 | x |
| 52.0% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 9 to 10 computations (-11.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 13.4% | 1 | y |
| 13.4% | 1 | x |
| 13.4% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 9 to 10 computations (-11.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000000058045 | 7.510953168397958e+20 |
| 0.0ms | 8.835365844654457e-5 | 0.9999931392661645 |
| 0.0ms | -17.17679402323279 | -1.4916799775656588e-9 |
Compiled 10 to 11 computations (-10% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000000058045 | 7.510953168397958e+20 |
| 0.0ms | 8.835365844654457e-5 | 0.9999931392661645 |
| 0.0ms | -17.17679402323279 | -1.4916799775656588e-9 |
Compiled 10 to 11 computations (-10% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 5.06647392517917e+26 | 1.7760472733245256e+44 |
| 15.0ms | -2691911.0740039935 | -1.4916799753405496e-9 |
| 15.0ms | 320× | 0 | valid |
Compiled 590 to 461 computations (21.9% saved)
ival-add: 6.0ms (69.5% of total)ival-div: 2.0ms (23.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.06647392517917e+26 | 1.7760472733245256e+44 |
| 22.0ms | -2691911.0740039935 | -1.4916799753405496e-9 |
| 17.0ms | 144× | 0 | valid |
Compiled 630 to 471 computations (25.2% saved)
ival-add: 13.0ms (91.3% of total)ival-div: 1.0ms (7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 338 |
| 1 | 69 | 338 |
| 2 | 76 | 338 |
| 3 | 83 | 338 |
| 4 | 84 | 338 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -10 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -10 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 y #s(literal -5718490662849961/36893488147419103232 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 y #s(literal 520000000000000004160749568 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (if (<=.f64 y #s(literal 520000000000000004160749568 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -10 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal -10 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -10 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal -10 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 y #s(literal -5718490662849961/36893488147419103232 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 y #s(literal 520000000000000004160749568 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (if (<=.f64 y #s(literal 520000000000000004160749568 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 222 |
| 1 | 263 | 218 |
| 2 | 671 | 198 |
| 3 | 2447 | 180 |
| 0 | 8225 | 172 |
| 0 | 168 | 522 |
| 1 | 514 | 485 |
| 2 | 1299 | 451 |
| 3 | 4526 | 435 |
| 0 | 8340 | 419 |
| 0 | 202 | 666 |
| 1 | 632 | 625 |
| 2 | 1700 | 577 |
| 3 | 6161 | 577 |
| 0 | 8200 | 553 |
| 0 | 127 | 398 |
| 1 | 395 | 376 |
| 2 | 1023 | 348 |
| 3 | 3521 | 324 |
| 0 | 8290 | 309 |
| 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 |
Compiled 449 to 162 computations (63.9% saved)
Compiled 690 to 126 computations (81.7% saved)
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