
Time bar (total: 5.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 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)
| 636.0ms | 8 253× | 0 | valid |
| 3.0ms | 2× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
ival-add: 276.0ms (69.1% of total)ival-div: 105.0ms (26.3% of total)ival-true: 7.0ms (1.8% of total)exact: 6.0ms (1.5% of total)adjust: 3.0ms (0.8% of total)ival-assert: 3.0ms (0.8% 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 |
| 65.0ms | 510× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 43 to 22 computations (48.8% saved)
ival-div: 38.0ms (83.7% of total)ival-add: 6.0ms (13.2% of total)ival-assert: 1.0ms (2.2% of total)adjust: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 43 |
| 1 | 41 | 43 |
| 2 | 74 | 40 |
| 3 | 94 | 40 |
| 4 | 120 | 39 |
| 5 | 137 | 39 |
| 6 | 148 | 39 |
| 7 | 150 | 39 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 16 | 7 |
| 2 | 17 | 7 |
| 0 | 17 | 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 | 16 | 16 |
| 2 | 17 | 16 |
| 0 | 17 | 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 | 0.0234375 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 15.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-add: 3.0ms (59.8% of total)ival-div: 2.0ms (39.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.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 | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 1.0ms | x | @ | -inf | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 1.0ms | x | @ | inf | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 1.0ms | 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 | 243 |
| 1 | 270 | 228 |
| 2 | 789 | 202 |
| 3 | 3223 | 198 |
| 0 | 8285 | 186 |
| 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 y #s(literal -1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64))) |
y |
(+ x y) |
(+.f64 y x) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/.f64 (fma.f64 (/.f64 y x) x x) (-.f64 y #s(literal -1 binary64))) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(/.f64 (fma.f64 (/.f64 y x) x x) (-.f64 y #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x 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 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y 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 y #s(literal -1 binary64)) |
(- (+ 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 (+.f64 (/.f64 (/.f64 (+.f64 y x) y) y) x) y) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 1 binary64)) y)) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(+ 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 #s(literal -1 binary64) x) 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 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 43 | 13 |
| 2 | 280 | 13 |
| 3 | 3040 | 13 |
| 0 | 10269 | 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 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 y x) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 y x) y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (-.f64 y x) y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) x) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y y y))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 y) y))) (*.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (fma.f64 y y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))) |
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(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))) |
(+.f64 (neg.f64 y) (neg.f64 x)) |
(+.f64 (neg.f64 x) (neg.f64 y)) |
(+.f64 y x) |
(+.f64 x y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (neg.f64 (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (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 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 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 (+.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (neg.f64 (neg.f64 (-.f64 y #s(literal 1 binary64))))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(neg.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(fma.f64 y #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 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 y)) |
(+.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #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 23 423 to 1 929 computations (91.8% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 593 | 7 | 600 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 593 | 8 | 601 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ▶ | 90.3% | (/.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) (+.f64 y #s(literal 1 binary64))) |
| 47.2% | #s(approx (/ (+ x y) (+ y 1)) (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)) | |
| 47.2% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x)) | |
| ▶ | 47.1% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
| ▶ | 51.9% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
| ▶ | 49.2% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
| ▶ | 53.1% | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
Compiled 235 to 162 computations (31.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| cost-diff | 0 | (-.f64 y #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 y (-.f64 y #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) | |
| cost-diff | 0 | (-.f64 y #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 x (-.f64 y #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) | |
| 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 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) (+.f64 y #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 165 |
| 0 | 41 | 165 |
| 1 | 57 | 165 |
| 2 | 70 | 165 |
| 3 | 81 | 165 |
| 4 | 95 | 165 |
| 5 | 114 | 165 |
| 6 | 137 | 165 |
| 7 | 159 | 165 |
| 8 | 177 | 165 |
| 9 | 200 | 165 |
| 10 | 207 | 165 |
| 11 | 211 | 165 |
| 12 | 215 | 165 |
| 0 | 215 | 165 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) (+.f64 y #s(literal 1 binary64))) |
#s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(neg.f64 y) |
y |
(-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
#s(literal 1 binary64) |
(+.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 |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
x |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
y |
(-.f64 y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
| Outputs |
|---|
(/.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) |
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)) |
(neg.f64 y) |
y |
(-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
#s(literal 1 binary64) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
#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 |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
x |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
y |
(-.f64 y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 29.50329370992011 | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| accuracy | 0.0 | (-.f64 y #s(literal -1 binary64)) | |
| accuracy | 0.01171875 | (/.f64 y (-.f64 y #s(literal -1 binary64))) | |
| accuracy | 30.364147682938444 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (-.f64 y #s(literal -1 binary64)) | |
| accuracy | 0.015625 | (/.f64 x (-.f64 y #s(literal -1 binary64))) | |
| accuracy | 32.00351542540697 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.00390625 | (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) | |
| accuracy | 33.8807249830418 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) | |
| accuracy | 0.0 | #s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (/.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) (+.f64 y #s(literal 1 binary64))) | |
| accuracy | 6.198294671091159 | (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
| 100.0ms | 254× | 0 | valid |
| 2.0ms | 2× | 5 | exit |
Compiled 121 to 22 computations (81.8% saved)
ival-div: 17.0ms (51.3% of total)ival-sub: 5.0ms (15.1% of total)ival-mult: 4.0ms (12.1% of total)ival-add: 4.0ms (12.1% of total)ival-neg: 2.0ms (6% of total)adjust: 1.0ms (3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) (+.f64 y #s(literal 1 binary64))) |
#s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(neg.f64 y) |
#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(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(-.f64 y #s(literal -1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ x y) |
(+ y (* x (+ 1 (* -1 y)))) |
1 |
(+ 1 (* -1 x)) |
(/ x (+ 1 y)) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
-1 |
(- (* -1 (/ x y)) 1) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(* -1 y) |
(+ 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 y) 1) y) |
(/ (- 1 x) y) |
(/ (+ (* -1 x) (* -1 y)) 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 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(/ (+ 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 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(+ 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))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x 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))) |
(+ 1 (* -1 (/ (- 1 x) y))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | x | @ | -inf | ((/ (+ x y) (+ y 1)) (+ x y) (* (neg y) (- (/ (neg x) y) 1)) (neg y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (- y -1) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- (/ (neg x) y) 1)) |
| 3.0ms | y | @ | 0 | ((/ (+ x y) (+ y 1)) (+ x y) (* (neg y) (- (/ (neg x) y) 1)) (neg y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (- y -1) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- (/ (neg x) y) 1)) |
| 3.0ms | x | @ | 0 | ((/ (+ x y) (+ y 1)) (+ x y) (* (neg y) (- (/ (neg x) y) 1)) (neg y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (- y -1) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- (/ (neg x) y) 1)) |
| 2.0ms | x | @ | inf | ((/ (+ x y) (+ y 1)) (+ x y) (* (neg y) (- (/ (neg x) y) 1)) (neg y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (- y -1) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- (/ (neg x) y) 1)) |
| 2.0ms | y | @ | inf | ((/ (+ x y) (+ y 1)) (+ x y) (* (neg y) (- (/ (neg x) y) 1)) (neg y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (- y -1) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- (/ (neg x) y) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 621 |
| 1 | 617 | 576 |
| 2 | 1784 | 545 |
| 3 | 6372 | 543 |
| 0 | 8689 | 524 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ x y) |
(+ y (* x (+ 1 (* -1 y)))) |
1 |
(+ 1 (* -1 x)) |
(/ x (+ 1 y)) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
-1 |
(- (* -1 (/ x y)) 1) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(* -1 y) |
(+ 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 y) 1) y) |
(/ (- 1 x) y) |
(/ (+ (* -1 x) (* -1 y)) 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 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(/ (+ 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 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(+ 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))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x 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))) |
(+ 1 (* -1 (/ (- 1 x) y))) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64))) |
y |
(+ x y) |
(+.f64 y x) |
(+ 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 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(- 1 (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ x y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64))) |
x |
(* x (+ 1 (/ y x))) |
(+.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) x) y x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 y x x)) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (-.f64 (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 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) x) y x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (neg.f64 x)) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) x)) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (-.f64 x #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) |
(* -1 y) |
(neg.f64 y) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* y (- (* x y) x))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) y x) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y (neg.f64 x)) y x) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(* 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)))) |
(fma.f64 (*.f64 y y) (-.f64 y (fma.f64 y y #s(literal 1 binary64))) y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (+ (* -1 x) (* -1 y)) y) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 y x) y) y) x) y) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 1 binary64)) y)) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* 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) |
(/ (+ 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) |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(- (+ 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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) y)) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* -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) |
(+ 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 (* -1 (/ (- 1 x) y))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 136 |
| 0 | 41 | 136 |
| 1 | 140 | 136 |
| 2 | 926 | 136 |
| 0 | 8867 | 136 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) (+.f64 y #s(literal 1 binary64))) |
#s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(neg.f64 y) |
#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(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(-.f64 y #s(literal -1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (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 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (-.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))))) |
(/.f64 (neg.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (-.f64 y #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 y y))) |
(fma.f64 (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 y y) (*.f64 (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 y y) (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 y y) (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (*.f64 y y) (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) |
(neg.f64 (neg.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))))) |
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) y) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(*.f64 y (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))) |
(*.f64 y (neg.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 y) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (+.f64 (/.f64 x y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 y) (neg.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 y))) (+.f64 (/.f64 x y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 y))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (+.f64 (/.f64 x y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 y)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal -1 binary64))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))) |
(/.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) |
(neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) y)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 #s(literal 1 binary64) (neg.f64 y)) |
(*.f64 (neg.f64 y) #s(literal 1 binary64)) |
(*.f64 y #s(literal -1 binary64)) |
(neg.f64 y) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(/.f64 (-.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 (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 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 x))) (/.f64 (*.f64 x x) (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 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #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 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #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 (/.f64 (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 (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 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #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 (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 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 x))) #s(literal 3 binary64))) (fma.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 (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))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 x))) (/.f64 (*.f64 x x) (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 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #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)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (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)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #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 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #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 (*.f64 (/.f64 (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 (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 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #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 (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 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #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)))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) |
(neg.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
Compiled 12 515 to 1 508 computations (88% saved)
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 397 | 7 | 404 |
| Fresh | 2 | 0 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 402 | 10 | 412 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ▶ | 90.3% | (/.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) (+.f64 y #s(literal 1 binary64))) |
| ▶ | 33.1% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
| ▶ | 47.5% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 51.9% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
| ✓ | 49.2% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
| 53.1% | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) | |
| 15.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) | |
| ▶ | 15.1% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
| ▶ | 17.8% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
Compiled 301 to 212 computations (29.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) 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 (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) | |
| cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) | |
| cost-diff | 0 | #s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) (+.f64 y #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 229 |
| 0 | 49 | 229 |
| 1 | 67 | 229 |
| 2 | 85 | 229 |
| 3 | 104 | 229 |
| 4 | 129 | 229 |
| 5 | 150 | 229 |
| 6 | 177 | 229 |
| 7 | 208 | 229 |
| 8 | 237 | 229 |
| 9 | 257 | 229 |
| 10 | 264 | 229 |
| 11 | 268 | 229 |
| 12 | 272 | 229 |
| 0 | 272 | 229 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) (+.f64 y #s(literal 1 binary64))) |
#s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(neg.f64 y) |
y |
#s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
#s(literal -1 binary64) |
(/.f64 x y) |
x |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#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 (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ y (- y -1)) (*.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 (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
| Outputs |
|---|
(/.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 #s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y))) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) |
#s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y))) |
(*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
#s(literal -1 binary64) |
(/.f64 x y) |
x |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#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 (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ y (- y -1)) (*.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 (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (- 1 (/ (- 1 x) 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 | 29.50329370992011 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) | |
| accuracy | 39.95210440720767 | #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.00390625 | (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) | |
| accuracy | 31.597043540282154 | #s(approx (- 1 x) (neg.f64 x)) | |
| accuracy | 33.8807249830418 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0 | (*.f64 (-.f64 #s(literal 1 binary64) y) y) | |
| accuracy | 30.364147682938444 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) | |
| accuracy | 34.1481365809073 | #s(approx (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) | |
| accuracy | 0.00390625 | (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) | |
| accuracy | 30.921358868037803 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 33.8807249830418 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) | |
| accuracy | 0.0 | #s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) | |
| accuracy | 0.00390625 | (-.f64 #s(literal -1 binary64) (/.f64 x y)) | |
| accuracy | 0.01953125 | (/.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) (+.f64 y #s(literal 1 binary64))) | |
| accuracy | 6.198294671091159 | (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
| 103.0ms | 254× | 0 | valid |
| 2.0ms | 2× | 5 | exit |
Compiled 126 to 25 computations (80.2% saved)
ival-mult: 60.0ms (68.1% of total)ival-div: 13.0ms (14.8% of total)ival-sub: 7.0ms (8% of total)ival-add: 4.0ms (4.5% of total)ival-neg: 2.0ms (2.3% of total)adjust: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) (+.f64 y #s(literal 1 binary64))) |
#s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(neg.f64 y) |
#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 (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ y (- y -1)) (*.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 (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y)) |
(/.f64 x y) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ x y) |
(+ y (* x (+ 1 (* -1 y)))) |
1 |
(+ 1 (* -1 x)) |
(* -1 x) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ x y) |
-1 |
(- (* -1 (/ x y)) 1) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (- (/ 1 x) 1)) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(* -1 y) |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(+ 1 (* -1 y)) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- (* -1 y) x) 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 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(- (+ 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)) |
(* 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 (/ x y)) 1))) |
(* -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 (/ (- 1 x) y))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | ((/ (+ x y) (+ y 1)) (+ x y) (* (neg y) (- (/ (neg x) y) 1)) (neg y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (neg x) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ x y) (- -1 (/ x y))) |
| 1.0ms | x | @ | -inf | ((/ (+ x y) (+ y 1)) (+ x y) (* (neg y) (- (/ (neg x) y) 1)) (neg y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (neg x) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ x y) (- -1 (/ x y))) |
| 1.0ms | y | @ | inf | ((/ (+ x y) (+ y 1)) (+ x y) (* (neg y) (- (/ (neg x) y) 1)) (neg y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (neg x) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ x y) (- -1 (/ x y))) |
| 1.0ms | x | @ | inf | ((/ (+ x y) (+ y 1)) (+ x y) (* (neg y) (- (/ (neg x) y) 1)) (neg y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (neg x) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ x y) (- -1 (/ x y))) |
| 1.0ms | y | @ | 0 | ((/ (+ x y) (+ y 1)) (+ x y) (* (neg y) (- (/ (neg x) y) 1)) (neg y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (neg x) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ x y) (- -1 (/ x y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 157 | 498 |
| 1 | 486 | 472 |
| 2 | 1389 | 443 |
| 3 | 4966 | 440 |
| 0 | 8205 | 423 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ x y) |
(+ y (* x (+ 1 (* -1 y)))) |
1 |
(+ 1 (* -1 x)) |
(* -1 x) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ x y) |
-1 |
(- (* -1 (/ x y)) 1) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (- (/ 1 x) 1)) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(* -1 y) |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(+ 1 (* -1 y)) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- (* -1 y) x) 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 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(- (+ 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)) |
(* 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 (/ x y)) 1))) |
(* -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 (/ (- 1 x) y))) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
y |
(+ x y) |
(+.f64 y x) |
(+ 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) |
(* -1 x) |
(neg.f64 x) |
(- 1 (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ x y) |
(/.f64 x y) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ x y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
x |
(* x (+ 1 (/ y x))) |
(+.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) x) y x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 y x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(+.f64 y (*.f64 (-.f64 y #s(literal 1 binary64)) (neg.f64 x))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) x)) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (-.f64 x #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) |
(* -1 y) |
(neg.f64 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 (-.f64 y (fma.f64 y y #s(literal 1 binary64))) y #s(literal 1 binary64)) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ (- (* -1 y) x) y) |
(-.f64 #s(literal -1 binary64) (/.f64 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 (+.f64 (/.f64 (/.f64 (+.f64 y x) y) y) x) y) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 1 binary64)) y)) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* 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 (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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) y)) (/.f64 #s(literal 1 binary64) y)) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (/ 1 y) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) y) |
(* y (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) 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 #s(literal -1 binary64) x) 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) |
(* -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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
(+ 1 (* -1 (/ (- 1 x) y))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 198 |
| 0 | 49 | 198 |
| 1 | 178 | 198 |
| 2 | 1221 | 198 |
| 0 | 8194 | 198 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) (+.f64 y #s(literal 1 binary64))) |
#s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(neg.f64 y) |
#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 (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ y (- y -1)) (*.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 (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y)) |
(/.f64 x y) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y))) (-.f64 (*.f64 y y) #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)))) |
(/.f64 (neg.f64 #s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)))) (+.f64 #s(literal -1 binary64) (neg.f64 y))) |
(/.f64 #s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y))) (+.f64 #s(literal 1 binary64) y)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)))) (+.f64 #s(literal 1 binary64) y))) |
(neg.f64 (/.f64 #s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y))) (+.f64 #s(literal -1 binary64) (neg.f64 y)))) |
#s(approx (+ x y) (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y))) |
(*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)) |
(*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(*.f64 y (neg.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(neg.f64 (*.f64 #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))) y)) |
(neg.f64 y) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) y) (*.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) y))) (+.f64 x (*.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 (neg.f64 y) #s(approx (- 1 x) #s(literal 1 binary64))))) (+.f64 x (*.f64 (neg.f64 y) #s(approx (- 1 x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) y) (*.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) y) (*.f64 x (*.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) y))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 y) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 (neg.f64 y) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 x (*.f64 (neg.f64 y) #s(approx (- 1 x) #s(literal 1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))))) |
(/.f64 (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)))) |
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(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #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)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (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)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #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 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #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 (*.f64 (/.f64 (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 (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 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #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 (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 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (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 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) (*.f64 (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #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 (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))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (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))) (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 (-.f64 (*.f64 x x) (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 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.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 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (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 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.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)))) |
(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)) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x))) |
(-.f64 x (*.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) y)) |
(-.f64 x (*.f64 (neg.f64 y) #s(approx (- 1 x) (neg.f64 x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #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 (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 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 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #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 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 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #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 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #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 (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 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) 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)) |
(neg.f64 x) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 (neg.f64 x) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x (neg.f64 (neg.f64 y))) |
(/.f64 x y) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64))))) (+.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))) (+.f64 (/.f64 x y) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(+.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) |
Compiled 7 866 to 918 computations (88.3% saved)
11 alts after pruning (3 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 200 | 1 | 201 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 200 | 11 | 211 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | 90.3% | (/.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) (+.f64 y #s(literal 1 binary64))) |
| ✓ | 33.1% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
| ✓ | 47.5% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 51.9% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
| ✓ | 49.2% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
| ▶ | 53.1% | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
| ▶ | 15.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
| ✓ | 15.1% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
| ▶ | 2.6% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)))) |
| ✓ | 17.8% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
Compiled 191 to 135 computations (29.3% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- 1 x) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) | |
| cost-diff | 0 | (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) y) | |
| cost-diff | 0 | #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)) | |
| cost-diff | 0 | #s(approx (/ y (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y))) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 159 |
| 0 | 36 | 159 |
| 1 | 50 | 159 |
| 2 | 67 | 159 |
| 3 | 106 | 159 |
| 4 | 232 | 159 |
| 5 | 414 | 159 |
| 6 | 661 | 159 |
| 7 | 1005 | 159 |
| 8 | 1158 | 159 |
| 9 | 1331 | 159 |
| 10 | 1796 | 159 |
| 11 | 2575 | 159 |
| 12 | 2861 | 159 |
| 13 | 2909 | 159 |
| 14 | 3147 | 159 |
| 15 | 3147 | 159 |
| 0 | 3147 | 159 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ y (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y))) |
#s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
#s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (- 1 x) (neg.f64 x)) y) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ y (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y))) |
#s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
#s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (- 1 x) (neg.f64 x)) y) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) | |
| accuracy | 29.995467348815286 | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) | |
| accuracy | 32.08488114955946 | #s(approx (- 1 x) (neg.f64 x)) | |
| accuracy | 0.0 | (-.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.0390625 | (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) | |
| accuracy | 30.74893818845668 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) | |
| accuracy | 33.54644466222041 | #s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 29.214855539892753 | #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)) | |
| accuracy | 30.74893818845668 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)))) | |
| accuracy | 34.1481365809073 | #s(approx (/ y (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y))) |
| 55.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 86 to 23 computations (73.3% saved)
ival-sub: 26.0ms (59.2% of total)ival-mult: 6.0ms (13.7% of total)ival-div: 5.0ms (11.4% of total)ival-add: 4.0ms (9.1% of total)ival-neg: 2.0ms (4.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ y (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y))) |
#s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) y) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
#s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
(/.f64 #s(approx (- 1 x) (neg.f64 x)) y) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 y) |
(-.f64 y #s(literal 1 binary64)) |
(neg.f64 x) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
1 |
(+ 1 (* -1 x)) |
(* -1 x) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 x) 1)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(* -1 (pow y 2)) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- y 1))) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- 1 x) y) |
(* -1 y) |
-1 |
(- y 1) |
(- (+ 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))))) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(* (pow y 2) (- (/ 1 y) 1)) |
(pow y 3) |
(* (pow y 3) (- 1 (/ 1 y))) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 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 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(* -1 (* (pow y 3) (- (/ 1 y) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))) |
(* (pow y 2) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) |
(+ 1 (* -1 (/ (- 1 x) y))) |
(* -1 (* y (- (/ 1 y) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 52.0ms | y | @ | inf | ((/ (+ x y) (+ y 1)) (/ y (- y -1)) (* (- 1 y) y) (* (neg y) y) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (* (+ (* (- y 1) y) 1) y) (+ (* (- y 1) y) 1) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (neg y) (- y 1) (neg x)) |
| 2.0ms | y | @ | -inf | ((/ (+ x y) (+ y 1)) (/ y (- y -1)) (* (- 1 y) y) (* (neg y) y) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (* (+ (* (- y 1) y) 1) y) (+ (* (- y 1) y) 1) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (neg y) (- y 1) (neg x)) |
| 1.0ms | y | @ | 0 | ((/ (+ x y) (+ y 1)) (/ y (- y -1)) (* (- 1 y) y) (* (neg y) y) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (* (+ (* (- y 1) y) 1) y) (+ (* (- y 1) y) 1) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (neg y) (- y 1) (neg x)) |
| 1.0ms | x | @ | -inf | ((/ (+ x y) (+ y 1)) (/ y (- y -1)) (* (- 1 y) y) (* (neg y) y) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (* (+ (* (- y 1) y) 1) y) (+ (* (- y 1) y) 1) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (neg y) (- y 1) (neg x)) |
| 1.0ms | x | @ | inf | ((/ (+ x y) (+ y 1)) (/ y (- y -1)) (* (- 1 y) y) (* (neg y) y) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (* (+ (* (- y 1) y) 1) y) (+ (* (- y 1) y) 1) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (neg y) (- y 1) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 542 |
| 1 | 416 | 509 |
| 2 | 1185 | 491 |
| 3 | 4663 | 484 |
| 0 | 8124 | 468 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
1 |
(+ 1 (* -1 x)) |
(* -1 x) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 x) 1)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(* -1 (pow y 2)) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- y 1))) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- 1 x) y) |
(* -1 y) |
-1 |
(- y 1) |
(- (+ 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))))) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(* (pow y 2) (- (/ 1 y) 1)) |
(pow y 3) |
(* (pow y 3) (- 1 (/ 1 y))) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 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 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(* -1 (* (pow y 3) (- (/ 1 y) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))) |
(* (pow y 2) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) |
(+ 1 (* -1 (/ (- 1 x) y))) |
(* -1 (* y (- (/ 1 y) 1))) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(- 1 (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) 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 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (-.f64 (/.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (neg.f64 x)) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) x)) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (-.f64 x #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y 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)))) |
(fma.f64 (*.f64 y y) (-.f64 y (fma.f64 y y #s(literal 1 binary64))) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- y 1))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 y) |
(neg.f64 y) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- (+ 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 (+.f64 (/.f64 (/.f64 (+.f64 y x) y) y) x) y) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) y) #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 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) y) |
(pow y 3) |
(pow.f64 y #s(literal 3 binary64)) |
(* (pow y 3) (- 1 (/ 1 y))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) y) |
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) y y) y) |
(* y (- 1 (/ 1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) 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 (* -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 (* (pow y 3) (- (/ 1 y) 1))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (neg.f64 y)) #s(literal 1 binary64))) |
(* (pow y 2) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) y y) y) |
(+ 1 (* -1 (/ (- 1 x) y))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(* -1 (* y (- (/ 1 y) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 153 |
| 0 | 36 | 153 |
| 1 | 129 | 153 |
| 2 | 852 | 153 |
| 0 | 8852 | 153 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ y (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y))) |
#s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) y) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
#s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
(/.f64 #s(approx (- 1 x) (neg.f64 x)) y) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 y) |
(-.f64 y #s(literal 1 binary64)) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ y (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y))) |
#s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (fabs.f64 y) (neg.f64 (fabs.f64 y))) |
(*.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) y) |
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) |
(*.f64 y (neg.f64 y)) |
(neg.f64 (*.f64 y y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
#s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(*.f64 (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) |
(*.f64 y (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(*.f64 y (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64))) y) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) y) (neg.f64 (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64))) y) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) y))) |
(/.f64 (*.f64 y (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))) |
(/.f64 (*.f64 y (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (*.f64 y y)) (-.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) y)) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y))) (-.f64 y (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (*.f64 y (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) y y)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) y y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) y y) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64) y) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64))))) y (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal -1 binary64)) y)) |
(fma.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y y) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y y) y) |
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) y) |
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) |
(fma.f64 y (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64))))) (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(fma.f64 y (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) |
(-.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) (neg.f64 y)) |
(-.f64 y (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) y)) |
(-.f64 y (*.f64 (neg.f64 y) (*.f64 (-.f64 y #s(literal 1 binary64)) y))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64))))) y) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal -1 binary64)) y)) |
(+.f64 (*.f64 y (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)))))) (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) y) |
(+.f64 y (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y)) (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (*.f64 (pow.f64 (-.f64 (fma.f64 y y #s(literal -1 binary64)) y) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 y y #s(literal -1 binary64)) y) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y)) (pow.f64 (-.f64 (fma.f64 y y #s(literal -1 binary64)) y) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal -1 binary64)))) (-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(/.f64 (-.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (*.f64 y y)) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (fma.f64 y y #s(literal -1 binary64)) y) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y)) (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y)) (fma.f64 (pow.f64 (-.f64 (fma.f64 y y #s(literal -1 binary64)) y) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 y y #s(literal -1 binary64)) y) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y)) (pow.f64 (-.f64 (fma.f64 y y #s(literal -1 binary64)) y) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y y (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64))))) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))))) |
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(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))))) |
(/.f64 (-.f64 (*.f64 y (fma.f64 y y y)) (-.f64 y #s(literal -1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) |
(/.f64 (-.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))) |
(neg.f64 (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 y y))) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 y y) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 y y) (/.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 y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (neg.f64 y) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #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 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal -1 binary64) (neg.f64 y)) |
(-.f64 y #s(literal 1 binary64)) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))) |
(+.f64 #s(literal -1 binary64) y) |
(+.f64 y #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
Compiled 10 493 to 1 471 computations (86% saved)
12 alts after pruning (1 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 295 | 1 | 296 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 8 | 8 |
| Total | 295 | 12 | 307 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | 90.3% | (/.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) (+.f64 y #s(literal 1 binary64))) |
| ✓ | 33.1% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
| ✓ | 47.5% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 51.9% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
| ✓ | 49.2% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
| ✓ | 53.1% | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
| ✓ | 15.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
| ✓ | 15.1% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
| 3.2% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) | |
| ✓ | 2.6% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)))) |
| ✓ | 17.8% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
Compiled 524 to 239 computations (54.4% saved)
| Inputs |
|---|
#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 (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) 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)) #s(approx (/ y (- y -1)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (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)) |
(/.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) #s(approx (- (/ (neg x) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) (+.f64 y #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
3 calls:
| 88.0ms | x |
| 5.0ms | y |
| 5.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#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 (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) 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)) #s(approx (/ y (- y -1)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
3 calls:
| 14.0ms | x |
| 4.0ms | y |
| 3.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 4 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 79.3% | 5 | x |
| 98.0% | 3 | y |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#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 (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) 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)) #s(approx (/ y (- y -1)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.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)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#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 (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) 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)) #s(approx (/ y (- y -1)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
#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 y #s(literal -1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
2 calls:
| 3.0ms | y |
| 3.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 4 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 86.3% | 4 | y |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#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 (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) 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)) #s(approx (/ y (- y -1)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
#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 x (-.f64 y #s(literal -1 binary64)))) |
3 calls:
| 56.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.3% | 3 | x |
| 63.3% | 3 | y |
| 63.4% | 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)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) 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)) #s(approx (/ y (- y -1)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) 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 (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
3 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.9% | 3 | x |
| 62.2% | 3 | y |
| 50.8% | 3 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 9 to 10 computations (-11.1% saved)
Total -29.2b remaining (-86.8%)
Threshold costs -29.2b (-86.8%)
| Inputs |
|---|
#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 (- y -1)) #s(approx (* (- 1 y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) 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)) #s(approx (/ y (- y -1)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.5% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 47.5% | 1 | x |
| 47.5% | 1 | y |
Compiled 9 to 10 computations (-11.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.8872212441513024e-13 | 3.291452090060141 |
| 32.0ms | -748.3773535345426 | -0.04499213955488357 |
| 12.0ms | 288× | 0 | valid |
Compiled 532 to 425 computations (20.1% saved)
ival-add: 3.0ms (56% of total)ival-div: 2.0ms (37.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 1.8872212441513024e-13 | 3.291452090060141 |
| 1.0ms | -748.3773535345426 | -0.04499213955488357 |
| 2.0ms | 48× | 0 | valid |
Compiled 586 to 461 computations (21.3% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0013380121772097 | 470200.8901893593 |
| 0.0ms | 0.026600881330662535 | 0.9999898082441653 |
| 0.0ms | -152.05922158171126 | -4.983379061323067e-7 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999944636127 | 1.0 |
| 0.0ms | -152.05922158171126 | -4.983379061323067e-7 |
Compiled 10 to 11 computations (-10% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 208754.85832751085 | 2586854.46208522 |
| 1.0ms | -748.3773535345426 | -0.04499213955488357 |
| 4.0ms | 96× | 0 | valid |
Compiled 472 to 347 computations (26.5% saved)
ival-div: 1.0ms (57.4% of total)ival-add: 1.0ms (57.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 279 |
| 1 | 93 | 279 |
| 2 | 113 | 279 |
| 3 | 129 | 279 |
| 4 | 146 | 279 |
| 5 | 169 | 279 |
| 6 | 205 | 279 |
| 7 | 248 | 279 |
| 8 | 298 | 279 |
| 9 | 342 | 279 |
| 10 | 560 | 279 |
| 11 | 3252 | 279 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.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)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (if (<=.f64 y #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -100 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/72057594037927936 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 y #s(literal -1 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64))))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -100 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 562949950304603/562949953421312 binary64)) #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 x (-.f64 y #s(literal -1 binary64)))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) (if (<=.f64 y #s(literal 210000 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 (- 1 (/ (- 1 x) y)) (/.f64 x y))))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.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)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (if (<=.f64 y #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))))) |
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 3602879701896397/4503599627370496 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -100 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/72057594037927936 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 y #s(literal -1 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64))))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -100 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 562949950304603/562949953421312 binary64)) #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 x (-.f64 y #s(literal -1 binary64)))))) |
(if (or (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -100 binary64)) (not (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 562949950304603/562949953421312 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) (if (<=.f64 y #s(literal 210000 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 (- 1 (/ (- 1 x) y)) (/.f64 x y))))) |
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 210000 binary64)))) #s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 243 |
| 1 | 270 | 228 |
| 2 | 789 | 202 |
| 3 | 3223 | 198 |
| 0 | 8285 | 186 |
| 0 | 195 | 621 |
| 1 | 617 | 576 |
| 2 | 1784 | 545 |
| 3 | 6372 | 543 |
| 0 | 8689 | 524 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 279 to 65 computations (76.7% saved)
Compiled 572 to 142 computations (75.2% saved)
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