
Time bar (total: 6.4s)
| 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)
| 519.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
ival-add: 125.0ms (48.4% of total)ival-div: 116.0ms (45% of total)ival-true: 6.0ms (2.3% of total)exact: 5.0ms (1.9% of total)ival-assert: 3.0ms (1.2% of total)adjust: 2.0ms (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 |
| 27.0ms | 512× | 0 | valid |
Compiled 43 to 22 computations (48.8% saved)
ival-add: 10.0ms (70.4% of total)ival-div: 3.0ms (21.1% 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 | 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 | 0.01171875 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 17.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-add: 3.0ms (63% of total)ival-div: 2.0ms (42% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 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)) |
| 0.0ms | x | @ | 0 | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 0.0ms | y | @ | inf | ((/ (+ 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)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 594 | 6 | 600 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 594 | 7 | 601 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 72.0% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) | |
| ▶ | 77.1% | (-.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)))) |
| ▶ | 52.9% | #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)) |
| ▶ | 52.8% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
| ▶ | 45.9% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
| ▶ | 54.9% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
Compiled 211 to 136 computations (35.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x) | |
| cost-diff | 0 | #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)) | |
| 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 | (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) | |
| cost-diff | 4 | (/.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 4 | (/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 8 | (-.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 225 |
| 0 | 53 | 225 |
| 1 | 77 | 221 |
| 2 | 152 | 221 |
| 3 | 470 | 217 |
| 4 | 1854 | 202 |
| 5 | 6700 | 202 |
| 0 | 8126 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
x |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal 2 binary64) |
(/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)) |
(-.f64 x y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
(pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) |
(/.f64 y (+.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)) (fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x)) |
(fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x) |
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
| Outputs |
|---|
(-.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 x y))) |
(/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 x (-.f64 x y)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
x |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(literal 2 binary64) |
(/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(-.f64 x y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 y (-.f64 x y)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#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)) (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 x #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) x)) y x)) |
(fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) x)) y x) |
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) | |
| accuracy | 0.03125 | (fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x) | |
| accuracy | 30.132652859127347 | #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)) | |
| accuracy | 0.0 | (-.f64 y #s(literal -1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 y (-.f64 y #s(literal -1 binary64))) | |
| accuracy | 34.62602481539796 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (-.f64 y #s(literal -1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 x (-.f64 y #s(literal -1 binary64))) | |
| accuracy | 28.88817651603267 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 30.234278801739418 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) | |
| accuracy | 0.0234375 | (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) | |
| accuracy | 0.11947250976844202 | (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) | |
| accuracy | 2.0191962271391857 | (/.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) | |
| accuracy | 15.164812294446403 | (/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
| 92.0ms | 256× | 0 | valid |
Compiled 201 to 32 computations (84.1% saved)
ival-sub: 43.0ms (59.9% of total)ival-div: 12.0ms (16.7% of total)ival-add: 7.0ms (9.7% of total)ival-pow2: 5.0ms (7% of total)ival-mult: 4.0ms (5.6% 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 |
|---|
(-.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 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(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)) (fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x)) |
(fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x) |
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(- (/ x (+ 1 y)) (* -1 (/ y (+ 1 y)))) |
(* -1 (/ (pow x 2) (* y (+ 1 y)))) |
(* (pow x 2) (- (* -1 (/ x (* (pow y 2) (+ 1 y)))) (/ 1 (* y (+ 1 y))))) |
(* (pow x 2) (- (* x (- (* -1 (/ x (* (pow y 3) (+ 1 y)))) (/ 1 (* (pow y 2) (+ 1 y))))) (/ 1 (* y (+ 1 y))))) |
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (+ 1 y)))) (/ 1 (* (pow y 3) (+ 1 y))))) (/ 1 (* (pow y 2) (+ 1 y))))) (/ 1 (* y (+ 1 y))))) |
(* -1 (/ y (+ 1 y))) |
(+ (* -1 (/ x (+ 1 y))) (* -1 (/ y (+ 1 y)))) |
(+ (* -1 (/ y (+ 1 y))) (* x (- (* -1 (/ x (* y (+ 1 y)))) (/ 1 (+ 1 y))))) |
(+ (* -1 (/ y (+ 1 y))) (* x (- (* x (- (* -1 (/ x (* (pow y 2) (+ 1 y)))) (/ 1 (* y (+ 1 y))))) (/ 1 (+ 1 y))))) |
(/ (pow x 2) (pow (+ 1 y) 2)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
1 |
(+ 1 (* -1 x)) |
(/ x (+ 1 y)) |
(* y (+ 1 (* -1 y))) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(+ 1 (* -1 y)) |
(+ 1 (+ (* -1 y) (* x (- y 1)))) |
(+ 1 (+ (* -1 y) (* x y))) |
-1 |
(- x 1) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (- (+ (* -1 (/ (+ (* -1 (/ (pow y 2) (+ 1 y))) (/ (pow y 2) (+ 1 y))) (pow x 2))) (/ 1 (+ 1 y))) (* -1 (/ y (* x (+ 1 y)))))) |
(* x (- (+ (/ 1 (+ 1 y)) (/ (pow y 2) (* (pow x 2) (+ 1 y)))) (* -1 (/ y (* x (+ 1 y)))))) |
(* x (- (+ (/ 1 (+ 1 y)) (/ (pow y 3) (* (pow x 3) (+ 1 y)))) (+ (* -1 (/ y (* x (+ 1 y)))) (* -1 (/ (pow y 2) (* (pow x 2) (+ 1 y))))))) |
(/ (pow y 2) (* x (+ 1 y))) |
(/ (+ (/ (pow y 2) (+ 1 y)) (/ (pow y 3) (* x (+ 1 y)))) x) |
(/ (- (+ (/ (pow y 2) (+ 1 y)) (/ (pow y 4) (* (pow x 2) (+ 1 y)))) (* -1 (/ (pow y 3) (* x (+ 1 y))))) x) |
(/ (- (+ (/ (pow y 2) (+ 1 y)) (/ (pow y 5) (* (pow x 3) (+ 1 y)))) (+ (* -1 (/ (pow y 3) (* x (+ 1 y)))) (* -1 (/ (pow y 4) (* (pow x 2) (+ 1 y)))))) x) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (+ 1 (* y (- y 1)))) |
(* x (+ 1 (+ (* y (- y 1)) (/ (* y (+ 1 (* -1 y))) x)))) |
(* x (- y 1)) |
(* x (- (+ y (+ (* -1 (/ y x)) (/ 1 x))) 1)) |
(* x y) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
x |
(* x (- 1 (/ 1 x))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) (* x (+ 1 y))) (* -1 (/ y (+ 1 y)))) x)) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) (* x (+ 1 y)))) (/ (pow y 2) (+ 1 y))) x)) (* -1 (/ y (+ 1 y)))) x)) (/ 1 (+ 1 y))))) |
(* -1 (/ (+ (* -1 (/ (pow y 2) (+ 1 y))) (* -1 (/ (pow y 3) (* x (+ 1 y))))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (/ (pow y 3) (+ 1 y)) (/ (pow y 4) (* x (+ 1 y)))) x)) (* -1 (/ (pow y 2) (+ 1 y)))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) (+ 1 y))) (* -1 (/ (pow y 5) (* x (+ 1 y))))) x)) (/ (pow y 3) (+ 1 y))) x)) (* -1 (/ (pow y 2) (+ 1 y)))) x)) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- (* y (+ 1 (* -1 y))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* -1 y))) x)) (* y (+ 1 (* -1 y)))) 1))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(* -1 (* x (- (/ 1 x) 1))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- 1 (+ (/ 1 x) (/ (* (- 1 x) (- x 1)) x))))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ 1 (* y (- (/ 1 x) (+ (* -1 (/ (- 1 x) x)) (+ (/ 1 (pow x 2)) (/ (* (- 1 (/ (* (- 1 x) (- x 1)) x)) (- x 1)) x)))))) (+ (/ 1 x) (/ (* (- 1 x) (- x 1)) x))))) x))) |
(+ x (* y (- (+ 1 (* y (- 1 (/ (* (- 1 x) (- x 1)) x)))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ 1 (* -1 (* y (+ (* -1 (/ (- 1 x) x)) (/ (* (- 1 (/ (* (- 1 x) (- x 1)) x)) (- x 1)) x))))) (/ (* (- 1 x) (- x 1)) x)))) x))) |
(/ (pow y 2) x) |
(* (pow y 2) (+ (* y (- (/ 1 (pow x 2)) (/ 1 x))) (/ 1 x))) |
(* (pow y 2) (+ (* y (- (+ (* y (- (/ 1 (pow x 2)) (/ (* (- x 1) (- (/ 1 (pow x 2)) (/ 1 x))) x))) (/ 1 (pow x 2))) (/ 1 x))) (/ 1 x))) |
(* (pow y 2) (+ (* y (- (+ (* y (- (+ (* -1 (* y (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 x)) x)) (/ (* (- x 1) (- (/ 1 (pow x 2)) (/ (* (- x 1) (- (/ 1 (pow x 2)) (/ 1 x))) x))) x)))) (/ 1 (pow x 2))) (/ (* (- x 1) (- (/ 1 (pow x 2)) (/ 1 x))) x))) (/ 1 (pow x 2))) (/ 1 x))) (/ 1 x))) |
(pow x 2) |
(+ (* -2 (* (pow x 2) y)) (pow x 2)) |
(+ (* y (- (* -1 (* y (+ (* -4 (pow x 2)) (pow x 2)))) (* 2 (pow x 2)))) (pow x 2)) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -2 (+ (* -4 (pow x 2)) (pow x 2))) (* -2 (pow x 2))))) (+ (* -4 (pow x 2)) (pow x 2)))) (* 2 (pow x 2)))) (pow x 2)) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(+ 1 y) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(- 1 x) |
(- (+ 1 (* y (- x 1))) x) |
(+ 1 (* y (- x 1))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -2 y))) |
(* (pow y 2) (+ 1 (* y (- (* 3 y) 2)))) |
(* (pow y 2) (+ 1 (* y (- (* y (+ 3 (* -4 y))) 2)))) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (* -1 (/ (* (- 1 x) (- x 1)) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ x (pow y 2)))))) (/ 1 y)) |
(- (+ 1 (+ (* -1 (/ (* x (- 1 x)) (pow y 3))) (+ (* -1 (/ (* (- 1 x) (- x 1)) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (+ (/ x (pow y 2)) (/ (* (+ x (* -1 (* (- 1 x) (- x 1)))) (- x 1)) (pow y 3)))))))) (+ (/ 1 y) (/ (* (pow x 2) (- x 1)) (pow y 3)))) |
(* -1 (/ (pow x 2) (pow y 2))) |
(/ (+ (* -1 (/ (* (pow x 2) (- x 1)) y)) (* -1 (pow x 2))) (pow y 2)) |
(/ (- (+ (* -1 (/ (+ (* (pow x 2) (pow (- x 1) 2)) (pow x 3)) (pow y 2))) (* -1 (pow x 2))) (/ (* (pow x 2) (- x 1)) y)) (pow y 2)) |
(/ (- (+ (* -1 (/ (+ (* (+ (* (pow x 2) (pow (- x 1) 2)) (pow x 3)) (- x 1)) (* (pow x 3) (- x 1))) (pow y 3))) (* -1 (pow x 2))) (+ (/ (* (pow x 2) (- x 1)) y) (+ (/ (* (pow x 2) (pow (- x 1) 2)) (pow y 2)) (/ (pow x 3) (pow y 2))))) (pow y 2)) |
(- (/ 1 y) (+ 1 (/ x y))) |
(- (+ (* -1 (/ (+ x (* -1 (* (- 1 x) (- x 1)))) (pow y 2))) (/ 1 y)) (+ 1 (/ x y))) |
(- (+ (* -1 (/ (+ (* -1 (* x (- 1 x))) (* (+ x (* -1 (* (- 1 x) (- x 1)))) (- x 1))) (pow y 3))) (/ 1 y)) (+ 1 (+ (* -1 (/ (* (- 1 x) (- x 1)) (pow y 2))) (+ (/ x y) (/ x (pow y 2)))))) |
(/ (pow x 2) (pow y 2)) |
(/ (+ (* -2 (/ (pow x 2) y)) (pow x 2)) (pow y 2)) |
(/ (- (+ (* -1 (/ (+ (* -4 (pow x 2)) (pow x 2)) (pow y 2))) (pow x 2)) (* 2 (/ (pow x 2) y))) (pow y 2)) |
(/ (- (+ (* -1 (/ (+ (* -2 (+ (* -4 (pow x 2)) (pow x 2))) (* -2 (pow x 2))) (pow y 3))) (pow x 2)) (+ (* -4 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ (pow x 2) y)) (/ (pow x 2) (pow y 2))))) (pow y 2)) |
(- (+ 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 (- (+ 1 (/ x y)) x)) |
(/ x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(* y (+ 1 (/ 1 y))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(* (pow y 2) (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ 1 (/ x y)))) |
(* y (- x 1)) |
(* y (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (+ x (/ 1 y)) 1)) |
(- 1 (* 2 (/ 1 y))) |
(- (+ 1 (/ 3 (pow y 2))) (* 2 (/ 1 y))) |
(- (+ 1 (/ 3 (pow y 2))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 (pow y 3))))) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ x (+ (* -1 (pow x 2)) (pow (+ 1 (* -1 x)) 2))) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* x (+ 1 (* -1 x))) (* (+ 1 (* -1 x)) (+ x (pow (+ 1 (* -1 x)) 2)))) (* (pow x 2) (+ 1 (* -1 x)))) y)) (+ (* -1 (pow x 2)) (pow (+ 1 (* -1 x)) 2)))) y)))) y))) |
(/ (+ (* -1 (pow x 2)) (/ (* (pow x 2) (+ 1 (* -1 x))) y)) (pow y 2)) |
(/ (+ (* -1 (/ (- (+ (/ (* (pow x 2) (pow (+ 1 (* -1 x)) 2)) y) (/ (pow x 3) y)) (* (pow x 2) (+ 1 (* -1 x)))) y)) (* -1 (pow x 2))) (pow y 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ 1 (* -1 x)) (+ (* (pow x 2) (pow (+ 1 (* -1 x)) 2)) (pow x 3))) y) (/ (* (pow x 3) (+ 1 (* -1 x))) y)) (+ (* (pow x 2) (pow (+ 1 (* -1 x)) 2)) (pow x 3))) y)) (* (pow x 2) (+ 1 (* -1 x)))) y)) (* -1 (pow x 2))) (pow y 2)) |
(- (+ (* -1 (/ x y)) (/ 1 y)) 1) |
(- (* -1 (/ (- (+ (/ x y) (/ (pow (+ 1 (* -1 x)) 2) y)) (+ 1 (* -1 x))) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ 1 (* -1 x))) y) (/ (* (+ 1 (* -1 x)) (+ x (pow (+ 1 (* -1 x)) 2))) y)) (+ x (pow (+ 1 (* -1 x)) 2))) y)) (+ 1 (* -1 x))) y)) 1) |
(/ (+ (* -1 (/ (- (+ (* -4 (/ (pow x 2) y)) (/ (pow x 2) y)) (* -2 (pow x 2))) y)) (pow x 2)) (pow y 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -4 (pow x 2)) (pow x 2)) y)) (* 2 (/ (pow x 2) y))) (+ (* -4 (pow x 2)) (pow x 2))) y)) (* -2 (pow x 2))) y)) (pow x 2)) (pow y 2)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) 1)) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(+ 1 (* -1 (/ (- 2 (* 3 (/ 1 y))) y))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 y))) y))) y))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | -inf | ((- (/ (pow (/ x (+ 1 y)) 2) (/ (- x y) (+ 1 y))) (/ (pow (/ y (+ 1 y)) 2) (/ (- x y) (+ 1 y)))) (/ (pow (/ x (+ 1 y)) 2) (/ (- x y) (+ 1 y))) (/ (pow (/ y (+ 1 y)) 2) (/ (- x y) (+ 1 y))) (pow (/ x (+ 1 y)) 2) (/ (+ 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)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (- (+ (* (- x 1) y) 1) x) (+ (* (- x 1) y) 1) (pow (/ y (+ 1 y)) 2) (- x 1)) |
| 6.0ms | y | @ | inf | ((- (/ (pow (/ x (+ 1 y)) 2) (/ (- x y) (+ 1 y))) (/ (pow (/ y (+ 1 y)) 2) (/ (- x y) (+ 1 y)))) (/ (pow (/ x (+ 1 y)) 2) (/ (- x y) (+ 1 y))) (/ (pow (/ y (+ 1 y)) 2) (/ (- x y) (+ 1 y))) (pow (/ x (+ 1 y)) 2) (/ (+ 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)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (- (+ (* (- x 1) y) 1) x) (+ (* (- x 1) y) 1) (pow (/ y (+ 1 y)) 2) (- x 1)) |
| 6.0ms | x | @ | inf | ((- (/ (pow (/ x (+ 1 y)) 2) (/ (- x y) (+ 1 y))) (/ (pow (/ y (+ 1 y)) 2) (/ (- x y) (+ 1 y)))) (/ (pow (/ x (+ 1 y)) 2) (/ (- x y) (+ 1 y))) (/ (pow (/ y (+ 1 y)) 2) (/ (- x y) (+ 1 y))) (pow (/ x (+ 1 y)) 2) (/ (+ 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)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (- (+ (* (- x 1) y) 1) x) (+ (* (- x 1) y) 1) (pow (/ y (+ 1 y)) 2) (- x 1)) |
| 5.0ms | x | @ | 0 | ((- (/ (pow (/ x (+ 1 y)) 2) (/ (- x y) (+ 1 y))) (/ (pow (/ y (+ 1 y)) 2) (/ (- x y) (+ 1 y)))) (/ (pow (/ x (+ 1 y)) 2) (/ (- x y) (+ 1 y))) (/ (pow (/ y (+ 1 y)) 2) (/ (- x y) (+ 1 y))) (pow (/ x (+ 1 y)) 2) (/ (+ 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)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (- (+ (* (- x 1) y) 1) x) (+ (* (- x 1) y) 1) (pow (/ y (+ 1 y)) 2) (- x 1)) |
| 4.0ms | y | @ | -inf | ((- (/ (pow (/ x (+ 1 y)) 2) (/ (- x y) (+ 1 y))) (/ (pow (/ y (+ 1 y)) 2) (/ (- x y) (+ 1 y)))) (/ (pow (/ x (+ 1 y)) 2) (/ (- x y) (+ 1 y))) (/ (pow (/ y (+ 1 y)) 2) (/ (- x y) (+ 1 y))) (pow (/ x (+ 1 y)) 2) (/ (+ 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)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (- (+ (* (- x 1) y) 1) x) (+ (* (- x 1) y) 1) (pow (/ y (+ 1 y)) 2) (- x 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 638 | 2651 |
| 1 | 2151 | 2349 |
| 0 | 8070 | 2248 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 1 y)) |
(- (/ x (+ 1 y)) (* -1 (/ y (+ 1 y)))) |
(* -1 (/ (pow x 2) (* y (+ 1 y)))) |
(* (pow x 2) (- (* -1 (/ x (* (pow y 2) (+ 1 y)))) (/ 1 (* y (+ 1 y))))) |
(* (pow x 2) (- (* x (- (* -1 (/ x (* (pow y 3) (+ 1 y)))) (/ 1 (* (pow y 2) (+ 1 y))))) (/ 1 (* y (+ 1 y))))) |
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (+ 1 y)))) (/ 1 (* (pow y 3) (+ 1 y))))) (/ 1 (* (pow y 2) (+ 1 y))))) (/ 1 (* y (+ 1 y))))) |
(* -1 (/ y (+ 1 y))) |
(+ (* -1 (/ x (+ 1 y))) (* -1 (/ y (+ 1 y)))) |
(+ (* -1 (/ y (+ 1 y))) (* x (- (* -1 (/ x (* y (+ 1 y)))) (/ 1 (+ 1 y))))) |
(+ (* -1 (/ y (+ 1 y))) (* x (- (* x (- (* -1 (/ x (* (pow y 2) (+ 1 y)))) (/ 1 (* y (+ 1 y))))) (/ 1 (+ 1 y))))) |
(/ (pow x 2) (pow (+ 1 y) 2)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
1 |
(+ 1 (* -1 x)) |
(/ x (+ 1 y)) |
(* y (+ 1 (* -1 y))) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(+ 1 (* -1 y)) |
(+ 1 (+ (* -1 y) (* x (- y 1)))) |
(+ 1 (+ (* -1 y) (* x y))) |
-1 |
(- x 1) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (- (+ (* -1 (/ (+ (* -1 (/ (pow y 2) (+ 1 y))) (/ (pow y 2) (+ 1 y))) (pow x 2))) (/ 1 (+ 1 y))) (* -1 (/ y (* x (+ 1 y)))))) |
(* x (- (+ (/ 1 (+ 1 y)) (/ (pow y 2) (* (pow x 2) (+ 1 y)))) (* -1 (/ y (* x (+ 1 y)))))) |
(* x (- (+ (/ 1 (+ 1 y)) (/ (pow y 3) (* (pow x 3) (+ 1 y)))) (+ (* -1 (/ y (* x (+ 1 y)))) (* -1 (/ (pow y 2) (* (pow x 2) (+ 1 y))))))) |
(/ (pow y 2) (* x (+ 1 y))) |
(/ (+ (/ (pow y 2) (+ 1 y)) (/ (pow y 3) (* x (+ 1 y)))) x) |
(/ (- (+ (/ (pow y 2) (+ 1 y)) (/ (pow y 4) (* (pow x 2) (+ 1 y)))) (* -1 (/ (pow y 3) (* x (+ 1 y))))) x) |
(/ (- (+ (/ (pow y 2) (+ 1 y)) (/ (pow y 5) (* (pow x 3) (+ 1 y)))) (+ (* -1 (/ (pow y 3) (* x (+ 1 y)))) (* -1 (/ (pow y 4) (* (pow x 2) (+ 1 y)))))) x) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (+ 1 (* y (- y 1)))) |
(* x (+ 1 (+ (* y (- y 1)) (/ (* y (+ 1 (* -1 y))) x)))) |
(* x (- y 1)) |
(* x (- (+ y (+ (* -1 (/ y x)) (/ 1 x))) 1)) |
(* x y) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
x |
(* x (- 1 (/ 1 x))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) (* x (+ 1 y))) (* -1 (/ y (+ 1 y)))) x)) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) (* x (+ 1 y)))) (/ (pow y 2) (+ 1 y))) x)) (* -1 (/ y (+ 1 y)))) x)) (/ 1 (+ 1 y))))) |
(* -1 (/ (+ (* -1 (/ (pow y 2) (+ 1 y))) (* -1 (/ (pow y 3) (* x (+ 1 y))))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (/ (pow y 3) (+ 1 y)) (/ (pow y 4) (* x (+ 1 y)))) x)) (* -1 (/ (pow y 2) (+ 1 y)))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) (+ 1 y))) (* -1 (/ (pow y 5) (* x (+ 1 y))))) x)) (/ (pow y 3) (+ 1 y))) x)) (* -1 (/ (pow y 2) (+ 1 y)))) x)) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- (* y (+ 1 (* -1 y))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* -1 y))) x)) (* y (+ 1 (* -1 y)))) 1))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(* -1 (* x (- (/ 1 x) 1))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- 1 (+ (/ 1 x) (/ (* (- 1 x) (- x 1)) x))))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ 1 (* y (- (/ 1 x) (+ (* -1 (/ (- 1 x) x)) (+ (/ 1 (pow x 2)) (/ (* (- 1 (/ (* (- 1 x) (- x 1)) x)) (- x 1)) x)))))) (+ (/ 1 x) (/ (* (- 1 x) (- x 1)) x))))) x))) |
(+ x (* y (- (+ 1 (* y (- 1 (/ (* (- 1 x) (- x 1)) x)))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ 1 (* -1 (* y (+ (* -1 (/ (- 1 x) x)) (/ (* (- 1 (/ (* (- 1 x) (- x 1)) x)) (- x 1)) x))))) (/ (* (- 1 x) (- x 1)) x)))) x))) |
(/ (pow y 2) x) |
(* (pow y 2) (+ (* y (- (/ 1 (pow x 2)) (/ 1 x))) (/ 1 x))) |
(* (pow y 2) (+ (* y (- (+ (* y (- (/ 1 (pow x 2)) (/ (* (- x 1) (- (/ 1 (pow x 2)) (/ 1 x))) x))) (/ 1 (pow x 2))) (/ 1 x))) (/ 1 x))) |
(* (pow y 2) (+ (* y (- (+ (* y (- (+ (* -1 (* y (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 x)) x)) (/ (* (- x 1) (- (/ 1 (pow x 2)) (/ (* (- x 1) (- (/ 1 (pow x 2)) (/ 1 x))) x))) x)))) (/ 1 (pow x 2))) (/ (* (- x 1) (- (/ 1 (pow x 2)) (/ 1 x))) x))) (/ 1 (pow x 2))) (/ 1 x))) (/ 1 x))) |
(pow x 2) |
(+ (* -2 (* (pow x 2) y)) (pow x 2)) |
(+ (* y (- (* -1 (* y (+ (* -4 (pow x 2)) (pow x 2)))) (* 2 (pow x 2)))) (pow x 2)) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -2 (+ (* -4 (pow x 2)) (pow x 2))) (* -2 (pow x 2))))) (+ (* -4 (pow x 2)) (pow x 2)))) (* 2 (pow x 2)))) (pow x 2)) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(+ 1 y) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(- 1 x) |
(- (+ 1 (* y (- x 1))) x) |
(+ 1 (* y (- x 1))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -2 y))) |
(* (pow y 2) (+ 1 (* y (- (* 3 y) 2)))) |
(* (pow y 2) (+ 1 (* y (- (* y (+ 3 (* -4 y))) 2)))) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (* -1 (/ (* (- 1 x) (- x 1)) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ x (pow y 2)))))) (/ 1 y)) |
(- (+ 1 (+ (* -1 (/ (* x (- 1 x)) (pow y 3))) (+ (* -1 (/ (* (- 1 x) (- x 1)) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (+ (/ x (pow y 2)) (/ (* (+ x (* -1 (* (- 1 x) (- x 1)))) (- x 1)) (pow y 3)))))))) (+ (/ 1 y) (/ (* (pow x 2) (- x 1)) (pow y 3)))) |
(* -1 (/ (pow x 2) (pow y 2))) |
(/ (+ (* -1 (/ (* (pow x 2) (- x 1)) y)) (* -1 (pow x 2))) (pow y 2)) |
(/ (- (+ (* -1 (/ (+ (* (pow x 2) (pow (- x 1) 2)) (pow x 3)) (pow y 2))) (* -1 (pow x 2))) (/ (* (pow x 2) (- x 1)) y)) (pow y 2)) |
(/ (- (+ (* -1 (/ (+ (* (+ (* (pow x 2) (pow (- x 1) 2)) (pow x 3)) (- x 1)) (* (pow x 3) (- x 1))) (pow y 3))) (* -1 (pow x 2))) (+ (/ (* (pow x 2) (- x 1)) y) (+ (/ (* (pow x 2) (pow (- x 1) 2)) (pow y 2)) (/ (pow x 3) (pow y 2))))) (pow y 2)) |
(- (/ 1 y) (+ 1 (/ x y))) |
(- (+ (* -1 (/ (+ x (* -1 (* (- 1 x) (- x 1)))) (pow y 2))) (/ 1 y)) (+ 1 (/ x y))) |
(- (+ (* -1 (/ (+ (* -1 (* x (- 1 x))) (* (+ x (* -1 (* (- 1 x) (- x 1)))) (- x 1))) (pow y 3))) (/ 1 y)) (+ 1 (+ (* -1 (/ (* (- 1 x) (- x 1)) (pow y 2))) (+ (/ x y) (/ x (pow y 2)))))) |
(/ (pow x 2) (pow y 2)) |
(/ (+ (* -2 (/ (pow x 2) y)) (pow x 2)) (pow y 2)) |
(/ (- (+ (* -1 (/ (+ (* -4 (pow x 2)) (pow x 2)) (pow y 2))) (pow x 2)) (* 2 (/ (pow x 2) y))) (pow y 2)) |
(/ (- (+ (* -1 (/ (+ (* -2 (+ (* -4 (pow x 2)) (pow x 2))) (* -2 (pow x 2))) (pow y 3))) (pow x 2)) (+ (* -4 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ (pow x 2) y)) (/ (pow x 2) (pow y 2))))) (pow y 2)) |
(- (+ 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 (- (+ 1 (/ x y)) x)) |
(/ x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(* y (+ 1 (/ 1 y))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(* (pow y 2) (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ 1 (/ x y)))) |
(* y (- x 1)) |
(* y (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (+ x (/ 1 y)) 1)) |
(- 1 (* 2 (/ 1 y))) |
(- (+ 1 (/ 3 (pow y 2))) (* 2 (/ 1 y))) |
(- (+ 1 (/ 3 (pow y 2))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 (pow y 3))))) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ x (+ (* -1 (pow x 2)) (pow (+ 1 (* -1 x)) 2))) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* x (+ 1 (* -1 x))) (* (+ 1 (* -1 x)) (+ x (pow (+ 1 (* -1 x)) 2)))) (* (pow x 2) (+ 1 (* -1 x)))) y)) (+ (* -1 (pow x 2)) (pow (+ 1 (* -1 x)) 2)))) y)))) y))) |
(/ (+ (* -1 (pow x 2)) (/ (* (pow x 2) (+ 1 (* -1 x))) y)) (pow y 2)) |
(/ (+ (* -1 (/ (- (+ (/ (* (pow x 2) (pow (+ 1 (* -1 x)) 2)) y) (/ (pow x 3) y)) (* (pow x 2) (+ 1 (* -1 x)))) y)) (* -1 (pow x 2))) (pow y 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ 1 (* -1 x)) (+ (* (pow x 2) (pow (+ 1 (* -1 x)) 2)) (pow x 3))) y) (/ (* (pow x 3) (+ 1 (* -1 x))) y)) (+ (* (pow x 2) (pow (+ 1 (* -1 x)) 2)) (pow x 3))) y)) (* (pow x 2) (+ 1 (* -1 x)))) y)) (* -1 (pow x 2))) (pow y 2)) |
(- (+ (* -1 (/ x y)) (/ 1 y)) 1) |
(- (* -1 (/ (- (+ (/ x y) (/ (pow (+ 1 (* -1 x)) 2) y)) (+ 1 (* -1 x))) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ 1 (* -1 x))) y) (/ (* (+ 1 (* -1 x)) (+ x (pow (+ 1 (* -1 x)) 2))) y)) (+ x (pow (+ 1 (* -1 x)) 2))) y)) (+ 1 (* -1 x))) y)) 1) |
(/ (+ (* -1 (/ (- (+ (* -4 (/ (pow x 2) y)) (/ (pow x 2) y)) (* -2 (pow x 2))) y)) (pow x 2)) (pow y 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -4 (pow x 2)) (pow x 2)) y)) (* 2 (/ (pow x 2) y))) (+ (* -4 (pow x 2)) (pow x 2))) y)) (* -2 (pow x 2))) y)) (pow x 2)) (pow y 2)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) 1)) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(+ 1 (* -1 (/ (- 2 (* 3 (/ 1 y))) y))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 y))) y))) y))) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(- (/ x (+ 1 y)) (* -1 (/ y (+ 1 y)))) |
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* -1 (/ (pow x 2) (* y (+ 1 y)))) |
(/.f64 (*.f64 (neg.f64 x) x) (fma.f64 y y y)) |
(* (pow x 2) (- (* -1 (/ x (* (pow y 2) (+ 1 y)))) (/ 1 (* y (+ 1 y))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 (fma.f64 y y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y y))) (*.f64 x x)) |
(* (pow x 2) (- (* x (- (* -1 (/ x (* (pow y 3) (+ 1 y)))) (/ 1 (* (pow y 2) (+ 1 y))))) (/ 1 (* y (+ 1 y))))) |
(*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) y))) x) (/.f64 #s(literal 1 binary64) (fma.f64 y y y))) (*.f64 x x)) |
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (+ 1 y)))) (/ 1 (* (pow y 3) (+ 1 y))))) (/ 1 (* (pow y 2) (+ 1 y))))) (/ 1 (* y (+ 1 y))))) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) y))) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) y))) x) (/.f64 #s(literal 1 binary64) (fma.f64 y y y))) (*.f64 x x)) |
(* -1 (/ y (+ 1 y))) |
(/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) y)) |
(+ (* -1 (/ x (+ 1 y))) (* -1 (/ y (+ 1 y)))) |
(neg.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (+ 1 y))) (* x (- (* -1 (/ x (* y (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (-.f64 (/.f64 (neg.f64 x) (fma.f64 y y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) x (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (+ 1 y))) (* x (- (* x (- (* -1 (/ x (* (pow y 2) (+ 1 y)))) (/ 1 (* y (+ 1 y))))) (/ 1 (+ 1 y))))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 (fma.f64 y y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y y))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) x (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) y))) |
(/ (pow x 2) (pow (+ 1 y) 2)) |
(*.f64 x (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (-.f64 #s(literal 1 binary64) y) y)) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (+ (* -1 y) (* x (- y 1)))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) y)) |
(+ 1 (+ (* -1 y) (* x y))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) y #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) x) |
(* x (- (+ (* -1 (/ (+ (* -1 (/ (pow y 2) (+ 1 y))) (/ (pow y 2) (+ 1 y))) (pow x 2))) (/ 1 (+ 1 y))) (* -1 (/ y (* x (+ 1 y)))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 0 binary64) (*.f64 x x))) x) |
(* x (- (+ (/ 1 (+ 1 y)) (/ (pow y 2) (* (pow x 2) (+ 1 y)))) (* -1 (/ y (* x (+ 1 y)))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 y (fma.f64 y x x))) x) |
(* x (- (+ (/ 1 (+ 1 y)) (/ (pow y 3) (* (pow x 3) (+ 1 y)))) (+ (* -1 (/ y (* x (+ 1 y)))) (* -1 (/ (pow y 2) (* (pow x 2) (+ 1 y))))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 y (/.f64 y (fma.f64 y x x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (neg.f64 x))) x) |
(/ (pow y 2) (* x (+ 1 y))) |
(*.f64 y (/.f64 y (fma.f64 y x x))) |
(/ (+ (/ (pow y 2) (+ 1 y)) (/ (pow y 3) (* x (+ 1 y)))) x) |
(/.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (+.f64 #s(literal 1 binary64) y)) x) |
(/ (- (+ (/ (pow y 2) (+ 1 y)) (/ (pow y 4) (* (pow x 2) (+ 1 y)))) (* -1 (/ (pow y 3) (* x (+ 1 y))))) x) |
(/.f64 (fma.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) y)) x)) x) |
(/ (- (+ (/ (pow y 2) (+ 1 y)) (/ (pow y 5) (* (pow x 3) (+ 1 y)))) (+ (* -1 (/ (pow y 3) (* x (+ 1 y)))) (* -1 (/ (pow y 4) (* (pow x 2) (+ 1 y)))))) x) |
(/.f64 (-.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) y)) (neg.f64 x))) x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 (/.f64 y x) y) x x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) |
(* x (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* y (- y 1)) (/ (* y (+ 1 (* -1 y))) x)))) |
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(-.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) y)) |
(- (+ 1 (/ 3 (pow y 2))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 (pow y 3))))) |
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 3 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 (/ (+ x (+ (* -1 (pow x 2)) (pow (+ 1 (* -1 x)) 2))) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) y)) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* x (+ 1 (* -1 x))) (* (+ 1 (* -1 x)) (+ x (pow (+ 1 (* -1 x)) 2)))) (* (pow x 2) (+ 1 (* -1 x)))) y)) (+ (* -1 (pow x 2)) (pow (+ 1 (* -1 x)) 2)))) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) x))) (neg.f64 y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) y)) y)) |
(/ (+ (* -1 (pow x 2)) (/ (* (pow x 2) (+ 1 (* -1 x))) y)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) y) y) |
(/ (+ (* -1 (/ (- (+ (/ (* (pow x 2) (pow (+ 1 (* -1 x)) 2)) y) (/ (pow x 3) y)) (* (pow x 2) (+ 1 (* -1 x)))) y)) (* -1 (pow x 2))) (pow y 2)) |
(/.f64 (neg.f64 (fma.f64 x x (/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (*.f64 x x) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) y)) y))) (*.f64 y y)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ 1 (* -1 x)) (+ (* (pow x 2) (pow (+ 1 (* -1 x)) 2)) (pow x 3))) y) (/ (* (pow x 3) (+ 1 (* -1 x))) y)) (+ (* (pow x 2) (pow (+ 1 (* -1 x)) 2)) (pow x 3))) y)) (* (pow x 2) (+ 1 (* -1 x)))) y)) (* -1 (pow x 2))) (pow y 2)) |
(/.f64 (neg.f64 (fma.f64 x x (/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) (pow.f64 x #s(literal 3 binary64)))) y) (*.f64 (*.f64 x x) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x))) (neg.f64 y))) y))) (*.f64 y y)) |
(- (+ (* -1 (/ x y)) (/ 1 y)) 1) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ (/ x y) (/ (pow (+ 1 (* -1 x)) 2) y)) (+ 1 (* -1 x))) y)) 1) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) y) (-.f64 #s(literal 1 binary64) x)) (neg.f64 y)) #s(literal 1 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ 1 (* -1 x))) y) (/ (* (+ 1 (* -1 x)) (+ x (pow (+ 1 (* -1 x)) 2))) y)) (+ x (pow (+ 1 (* -1 x)) 2))) y)) (+ 1 (* -1 x))) y)) 1) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) x)) y) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (neg.f64 y)) (-.f64 #s(literal 1 binary64) x)) (neg.f64 y)) #s(literal 1 binary64)) |
(/ (+ (* -1 (/ (- (+ (* -4 (/ (pow x 2) y)) (/ (pow x 2) y)) (* -2 (pow x 2))) y)) (pow x 2)) (pow y 2)) |
(/.f64 (fma.f64 x x (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x (/.f64 x y)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (neg.f64 y))) (*.f64 y y)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -4 (pow x 2)) (pow x 2)) y)) (* 2 (/ (pow x 2) y))) (+ (* -4 (pow x 2)) (pow x 2))) y)) (* -2 (pow x 2))) y)) (pow x 2)) (pow y 2)) |
(/.f64 (fma.f64 x x (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) x (/.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (neg.f64 y))) (neg.f64 y))) (*.f64 y y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) x)) 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 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) x)) y)) y)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(*.f64 (neg.f64 y) (-.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 x y))) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) (neg.f64 y)) x) (neg.f64 y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) 1)) |
(*.f64 (-.f64 (-.f64 x (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 x y)) y)) #s(literal 1 binary64)) (*.f64 y y)) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ (- 1 x) y))))) |
(*.f64 (neg.f64 y) (neg.f64 (-.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) |
(+ 1 (* -1 (/ (- 2 (* 3 (/ 1 y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) y)) y)) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 y))) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) y)) y)) y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 184 |
| 0 | 53 | 176 |
| 1 | 227 | 160 |
| 2 | 1785 | 160 |
| 0 | 8184 | 160 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 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(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)) (fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x)) |
(fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x) |
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (-.f64 x y))) (+.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 (*.f64 y y) #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (+.f64 y x) (+.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 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 x y)) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 x y))) |
(/.f64 (+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) (neg.f64 (+.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) (neg.f64 (+.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 x y)) (*.f64 (-.f64 x y) (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))) (+.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))))) (/.f64 (neg.f64 (-.f64 x y)) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 4 binary64))) (pow.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 x y)))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 6 binary64))) (pow.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 4 binary64))) (pow.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 x y)) (*.f64 (-.f64 x y) (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))) (+.f64 y #s(literal 1 binary64))))) (neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 y x)))) (neg.f64 (neg.f64 (+.f64 (neg.f64 y) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (neg.f64 (-.f64 x y)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 (neg.f64 (-.f64 x y)) (+.f64 y #s(literal 1 binary64))) (neg.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))))) (neg.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 (neg.f64 (-.f64 x y)) (+.f64 y #s(literal 1 binary64))) (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))))) (neg.f64 (*.f64 (/.f64 (neg.f64 (-.f64 x y)) (+.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (neg.f64 (-.f64 x y)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (neg.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))))) (neg.f64 (*.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (/.f64 (neg.f64 (-.f64 x y)) (+.f64 y #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (+.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (+.f64 (neg.f64 y) #s(literal -1 binary64)) (neg.f64 y)))) (neg.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 (neg.f64 y) #s(literal -1 binary64)) y))) (neg.f64 (*.f64 (+.f64 (neg.f64 y) #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (+.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 y)))) (neg.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 (neg.f64 y) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) (neg.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y))) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(*.f64 (neg.f64 (neg.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) (neg.f64 (neg.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (neg.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 y y) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (neg.f64 y) (+.f64 y #s(literal 1 binary64))) (/.f64 (neg.f64 y) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 y (+.f64 (neg.f64 y) #s(literal -1 binary64))) (/.f64 y (+.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) (neg.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (log.f64 y) (log1p.f64 y))) |
(pow.f64 (neg.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (/.f64 y (+.f64 y #s(literal 1 binary64))))) (neg.f64 (+.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (/.f64 y (+.f64 y #s(literal 1 binary64))))) (+.f64 (neg.f64 y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) (neg.f64 (+.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) y)) (+.f64 (neg.f64 y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) y)) (neg.f64 (*.f64 (+.f64 (neg.f64 y) #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (neg.f64 y))) (neg.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 (neg.f64 y) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 y y)) (neg.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (+.f64 (neg.f64 y) #s(literal -1 binary64))) |
(/.f64 (*.f64 y (/.f64 y (+.f64 y #s(literal 1 binary64)))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (neg.f64 y)) (+.f64 (neg.f64 y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) y) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 (+.f64 (neg.f64 y) #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (neg.f64 y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(/.f64 (*.f64 y y) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fabs.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (-.f64 (log.f64 y) (log1p.f64 y)) (-.f64 (log.f64 y) (log1p.f64 y)))) |
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 y) (log1p.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (-.f64 (log.f64 y) (log1p.f64 y)) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (-.f64 (log.f64 y) (log1p.f64 y)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (-.f64 (log.f64 y) (log1p.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
Compiled 28 786 to 3 031 computations (89.5% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 723 | 6 | 729 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 725 | 11 | 736 |
| Status | Accuracy | Program |
|---|---|---|
| 55.6% | (fma.f64 (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 y (+.f64 y #s(literal 1 binary64)))) | |
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ▶ | 72.0% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
| ✓ | 52.8% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
| ▶ | 52.9% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 45.9% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
| ✓ | 54.9% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
| 16.6% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) | |
| ▶ | 40.3% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
| ▶ | 15.0% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
| ▶ | 15.1% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
Compiled 307 to 206 computations (32.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| cost-diff | 0 | #s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) 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 (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) | |
| cost-diff | 0 | (-.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) | |
| cost-diff | 5 | (/.f64 (*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 207 |
| 0 | 50 | 207 |
| 1 | 77 | 207 |
| 2 | 155 | 204 |
| 3 | 385 | 202 |
| 4 | 920 | 202 |
| 5 | 3490 | 202 |
| 0 | 8478 | 196 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) |
(+.f64 y x) |
y |
x |
(-.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 y 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 (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.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)) #s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
| Outputs |
|---|
(/.f64 (*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(/.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(-.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 y 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 (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.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)) #s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| accuracy | 28.88817651603267 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) | |
| accuracy | 30.159643345292096 | #s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 #s(literal 1 binary64) y) y) | |
| accuracy | 30.132652859127347 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) | |
| accuracy | 36.843771266253164 | #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 25.075502775405422 | #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| accuracy | 30.234278801739418 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| accuracy | 0.0 | (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) | |
| accuracy | 30.234278801739418 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) | |
| accuracy | 34.3136849217148 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (-.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.0078125 | (*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) | |
| accuracy | 17.445060996876943 | (/.f64 (*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
| 178.0ms | 256× | 0 | valid |
Compiled 135 to 29 computations (78.5% saved)
ival-add: 58.0ms (42.2% of total)ival-sub: 41.0ms (29.9% of total)ival-div: 27.0ms (19.7% of total)ival-mult: 11.0ms (8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) |
(+.f64 y 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)) |
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.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)) #s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
| Outputs |
|---|
(/ (* y (- y 1)) (- (pow y 2) 1)) |
(+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1))) |
(* y (- y 1)) |
(+ (* x (- y 1)) (* y (- y 1))) |
y |
(+ x y) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ y (* x (+ 1 (* -1 y)))) |
1 |
(+ 1 (* -1 x)) |
(+ y (* -1 (* x y))) |
(* y (+ 1 (* -1 y))) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(/ x (+ 1 y)) |
(* x (- 1 y)) |
(/ (* x (- y 1)) (- (pow y 2) 1)) |
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1)))) |
(* x (- y 1)) |
(* x (- (+ y (/ (* y (- y 1)) x)) 1)) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ 1 (* y (- y 1)))) |
(* x (+ 1 (+ (* y (- y 1)) (/ (* y (+ 1 (* -1 y))) x)))) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1)))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (- (* y (+ 1 (* -1 y))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* -1 y))) x)) (* y (+ 1 (* -1 y)))) 1))) |
(+ x (* -1 (* y (- x 1)))) |
(+ x (* y (+ (* -1 (* y (+ 1 (* -1 x)))) (* -1 (- x 1))))) |
(+ x (* y (+ (* -1 (- x 1)) (* y (- (* y (- 1 x)) (+ 1 (* -1 x))))))) |
(+ (* -1 x) (* y (- x 1))) |
(+ (* -1 x) (* y (- (+ x y) 1))) |
-1 |
(- y 1) |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(* y (- 1 x)) |
(+ 1 (* -1 y)) |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (/ x y)))) (/ 1 y)) |
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(pow y 2) |
(* (pow y 2) (- (+ 1 (/ x y)) (/ 1 y))) |
(* (pow y 2) (- (+ 1 (+ (* -1 (/ x (pow y 2))) (/ x y))) (/ 1 y))) |
(* y (+ 1 (/ x y))) |
(* y (- 1 (/ 1 y))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* y (- (+ 1 (/ x y)) x)) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(* (pow y 2) (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ 1 (/ x y)))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(/ x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(* y (+ (* -1 x) (/ x y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (/ x y)) y)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) 1)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 69.0ms | x | @ | inf | ((/ (* (+ y x) (- y 1)) (+ (* y y) -1)) (* (+ y x) (- y 1)) (+ y x) (- y 1) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (* (- 1 y) x)) |
| 2.0ms | x | @ | -inf | ((/ (* (+ y x) (- y 1)) (+ (* y y) -1)) (* (+ y x) (- y 1)) (+ y x) (- y 1) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (* (- 1 y) x)) |
| 2.0ms | x | @ | 0 | ((/ (* (+ y x) (- y 1)) (+ (* y y) -1)) (* (+ y x) (- y 1)) (+ y x) (- y 1) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (* (- 1 y) x)) |
| 2.0ms | y | @ | -inf | ((/ (* (+ y x) (- y 1)) (+ (* y y) -1)) (* (+ y x) (- y 1)) (+ y x) (- y 1) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (* (- 1 y) x)) |
| 2.0ms | y | @ | inf | ((/ (* (+ y x) (- y 1)) (+ (* y y) -1)) (* (+ y x) (- y 1)) (+ y x) (- y 1) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (* (- 1 y) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 265 | 1067 |
| 1 | 870 | 926 |
| 2 | 2885 | 867 |
| 0 | 8574 | 835 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* y (- y 1)) (- (pow y 2) 1)) |
(+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1))) |
(* y (- y 1)) |
(+ (* x (- y 1)) (* y (- y 1))) |
y |
(+ x y) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ y (* x (+ 1 (* -1 y)))) |
1 |
(+ 1 (* -1 x)) |
(+ y (* -1 (* x y))) |
(* y (+ 1 (* -1 y))) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(/ x (+ 1 y)) |
(* x (- 1 y)) |
(/ (* x (- y 1)) (- (pow y 2) 1)) |
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1)))) |
(* x (- y 1)) |
(* x (- (+ y (/ (* y (- y 1)) x)) 1)) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ 1 (* y (- y 1)))) |
(* x (+ 1 (+ (* y (- y 1)) (/ (* y (+ 1 (* -1 y))) x)))) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1)))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (- (* y (+ 1 (* -1 y))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* -1 y))) x)) (* y (+ 1 (* -1 y)))) 1))) |
(+ x (* -1 (* y (- x 1)))) |
(+ x (* y (+ (* -1 (* y (+ 1 (* -1 x)))) (* -1 (- x 1))))) |
(+ x (* y (+ (* -1 (- x 1)) (* y (- (* y (- 1 x)) (+ 1 (* -1 x))))))) |
(+ (* -1 x) (* y (- x 1))) |
(+ (* -1 x) (* y (- (+ x y) 1))) |
-1 |
(- y 1) |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(* y (- 1 x)) |
(+ 1 (* -1 y)) |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (/ x y)))) (/ 1 y)) |
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(pow y 2) |
(* (pow y 2) (- (+ 1 (/ x y)) (/ 1 y))) |
(* (pow y 2) (- (+ 1 (+ (* -1 (/ x (pow y 2))) (/ x y))) (/ 1 y))) |
(* y (+ 1 (/ x y))) |
(* y (- 1 (/ 1 y))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* y (- (+ 1 (/ x y)) x)) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(* (pow y 2) (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ 1 (/ x y)))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(/ x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(* y (+ (* -1 x) (/ x y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (/ x y)) y)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) 1)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
| Outputs |
|---|
(/ (* y (- y 1)) (- (pow y 2) 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) |
(+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 x y)) |
(* y (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) y) |
(+ (* x (- y 1)) (* y (- y 1))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 x y)) |
y |
(+ x y) |
(+.f64 x y) |
(/ y (+ 1 y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) y)) |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(+.f64 x (*.f64 y (fma.f64 (+.f64 #s(literal -1 binary64) y) x (-.f64 #s(literal 1 binary64) y)))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (* x (- y 1)) (- (pow y 2) 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1)))) |
(*.f64 (*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64))) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- (+ y (/ (* y (- y 1)) x)) 1)) |
(*.f64 (neg.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 y x)))) x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/.f64 (fma.f64 (/.f64 y x) x x) (+.f64 #s(literal 1 binary64) y)) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 (/.f64 y x) y) x x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 (/.f64 y x) y) x) |
(* x (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* y (- y 1)) (/ (* y (+ 1 (* -1 y))) x)))) |
(*.f64 (fma.f64 y (-.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) y) x)) #s(literal 1 binary64)) x) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1)))))) |
(*.f64 (*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64))) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x))))) |
(*.f64 (neg.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 y x)))) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (-.f64 (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) (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 (/.f64 y x) y) x x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 (/.f64 y x) y) x) |
(* -1 (* x (- (* y (+ 1 (* -1 y))) 1))) |
(*.f64 (-.f64 y (fma.f64 y y #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* -1 y))) x)) (* y (+ 1 (* -1 y)))) 1))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) y) x) y (-.f64 y (fma.f64 y y #s(literal 1 binary64)))) (neg.f64 x)) |
(+ x (* -1 (* y (- x 1)))) |
(fma.f64 (neg.f64 y) (-.f64 x #s(literal 1 binary64)) x) |
(+ x (* y (+ (* -1 (* y (+ 1 (* -1 x)))) (* -1 (- x 1))))) |
(fma.f64 (neg.f64 y) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) x) |
(+ x (* y (+ (* -1 (- x 1)) (* y (- (* y (- 1 x)) (+ 1 (* -1 x))))))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) |
(+ (* -1 x) (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y (neg.f64 x)) |
(+ (* -1 x) (* y (- (+ x y) 1))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 x y)) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(+ 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 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* y (- (* x y) x))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y (neg.f64 x)) y x) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (/ x y)))) (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) x) y)) |
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(-.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (*.f64 y y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- (+ 1 (/ x y)) (/ 1 y))) |
(*.f64 y (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y y)) |
(* (pow y 2) (- (+ 1 (+ (* -1 (/ x (pow y 2))) (/ x y))) (/ 1 y))) |
(*.f64 y (fma.f64 (/.f64 (-.f64 (-.f64 x (/.f64 x y)) #s(literal 1 binary64)) y) y y)) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (- 1 (/ 1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) x) 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 x y) #s(literal 1 binary64)) x) (*.f64 y y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 (/.f64 x y) x) y y) |
(* (pow y 2) (- x 1)) |
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y) |
(* (pow y 2) (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) (-.f64 #s(literal 1 binary64) x)) (*.f64 y 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) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/.f64 (+.f64 (/.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 x) (/ x y))) |
(*.f64 (-.f64 (/.f64 x y) x) y) |
(+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) x) y)) |
(+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) |
(+.f64 (/.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) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (/ x y)) y)))) |
(*.f64 y (fma.f64 (/.f64 (-.f64 (-.f64 x (/.f64 x y)) #s(literal 1 binary64)) y) y y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(* -1 (* y (- (/ 1 y) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 1 binary64) 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))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) x) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(+.f64 (/.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) #s(literal 1 binary64)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 (/.f64 x y) x) y y) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) 1)) |
(*.f64 (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) (-.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y)) y) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) x) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 185 |
| 0 | 50 | 185 |
| 1 | 217 | 185 |
| 2 | 1766 | 185 |
| 0 | 8392 | 179 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) |
(+.f64 y 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)) |
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.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)) #s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 (neg.f64 y) #s(literal -1 binary64))) (/.f64 (neg.f64 (+.f64 x y)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 (neg.f64 y) #s(literal 1 binary64))) (/.f64 (+.f64 x y) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 x y) (+.f64 (neg.f64 y) #s(literal 1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 x y) (neg.f64 (-.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 x y)) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (+.f64 x y)) (+.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 y #s(literal 1 binary64)) (neg.f64 (-.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 x y) (+.f64 (neg.f64 y) #s(literal -1 binary64))) (/.f64 (neg.f64 (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 x y) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 x y) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 x y)) |
(*.f64 (/.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (+.f64 x y) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 x y)) (+.f64 #s(literal 1 binary64) y))) (neg.f64 (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 y #s(literal 1 binary64))) (+.f64 x y)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 y #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 x y) (fma.f64 y y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 y x) (fma.f64 y y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64))))) |
(/.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 x y)) (+.f64 #s(literal 1 binary64) y)) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 x y)) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 y #s(literal 1 binary64))) (+.f64 x y))) (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 x y) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 y x) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 y #s(literal 1 binary64))) (+.f64 x y)) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 x y)) (fma.f64 y y #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (-.f64 y #s(literal 1 binary64))) (+.f64 x y)) (fma.f64 y y #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 x y)) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))) |
(+.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (*.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))) |
(+.f64 (/.f64 (*.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))) |
(+.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (fma.f64 y y #s(literal -1 binary64)))) |
(+.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (+.f64 x y) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (+.f64 x y) (/.f64 (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 x y) (/.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 y y (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 x y) #s(literal 1 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 x y)) |
(*.f64 (+.f64 x y) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 y (-.f64 y #s(literal 1 binary64))) (*.f64 y (-.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y (-.f64 y #s(literal 1 binary64))))))) |
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(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.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 x (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 x (/.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 x (/.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) (*.f64 y y)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (+.f64 (neg.f64 y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (+.f64 (neg.f64 y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
Compiled 12 824 to 1 680 computations (86.9% saved)
13 alts after pruning (4 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 423 | 2 | 425 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 423 | 13 | 436 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.6% | (fma.f64 (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | 72.0% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
| ✓ | 52.8% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
| ✓ | 52.9% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 45.9% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
| ✓ | 54.9% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
| ▶ | 16.6% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
| ✓ | 40.3% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
| ▶ | 3.1% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
| ✓ | 15.0% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
| ▶ | 2.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
| ✓ | 15.1% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
Compiled 229 to 154 computations (32.8% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x (+.f64 y #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) | |
| cost-diff | 11 | (fma.f64 (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 y (+.f64 y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ x (- y -1)) (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) | |
| cost-diff | 0 | #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) | |
| cost-diff | 0 | #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 194 |
| 0 | 42 | 183 |
| 1 | 60 | 183 |
| 2 | 95 | 183 |
| 3 | 182 | 183 |
| 4 | 358 | 183 |
| 5 | 613 | 183 |
| 6 | 1119 | 179 |
| 7 | 1526 | 179 |
| 8 | 2086 | 179 |
| 9 | 2995 | 179 |
| 10 | 3621 | 179 |
| 11 | 4153 | 179 |
| 12 | 4527 | 179 |
| 13 | 4865 | 179 |
| 0 | 8018 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
#s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
#s(approx (/ x (- y -1)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(sqrt.f64 (/.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) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
#s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
#s(approx (/ x (- y -1)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
x |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
y |
#s(literal 1 binary64) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (/.f64 x (+.f64 y #s(literal 1 binary64))) | |
| accuracy | 0.140625 | (fma.f64 (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 y (+.f64 y #s(literal 1 binary64)))) | |
| accuracy | 3.351654999082812 | (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 13.725205032520805 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) | |
| accuracy | 17.054680208395013 | #s(approx (/ x (- y -1)) (/.f64 x y)) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) | |
| accuracy | 13.725205032520805 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) | |
| accuracy | 14.36681448941029 | #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) | |
| accuracy | 16.971362878492037 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) | |
| accuracy | 14.395543790932232 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) | |
| accuracy | 16.971362878492037 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 18.366063703638883 | #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) |
| 26.0ms | 129× | 0 | invalid |
| 21.0ms | 127× | 0 | valid |
Compiled 115 to 27 computations (76.5% saved)
ival-div: 8.0ms (23.8% of total)ival-mult: 8.0ms (23.8% of total)ival-sub: 8.0ms (23.8% of total)ival-add: 6.0ms (17.9% of total)ival-sqrt: 2.0ms (6% of total)ival-neg: 1.0ms (3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y) |
#s(approx (- 1 y) (neg.f64 y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
#s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
#s(approx (/ x (- y -1)) (/.f64 x y)) |
(/.f64 x y) |
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(* y (+ 1 (* -1 y))) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(/ x (+ 1 y)) |
(* x (- 1 y)) |
(/ x y) |
(sqrt (/ x (+ 1 y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* y (- y 1)))) |
(* x (+ 1 (+ (* y (- y 1)) (/ (* y (+ 1 (* -1 y))) x)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* y (+ 1 (* -1 y))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* -1 y))) x)) (* y (+ 1 (* -1 y)))) 1))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (+ 1 y))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ (pow (sqrt -1) 2) (+ 1 y))))) |
(* -1 (* (sqrt (/ x (+ 1 y))) (pow (sqrt -1) 2))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
y |
1 |
(+ 1 (* -1 y)) |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(+ x (* y (- (+ 1 (* -1 (* y (+ 1 (* -1 x))))) x))) |
(+ x (* y (- (+ 1 (* y (- (* y (- 1 x)) (+ 1 (* -1 x))))) x))) |
(sqrt x) |
(+ (sqrt x) (* -1/2 (* (sqrt x) y))) |
(+ (sqrt x) (* y (+ (* -1/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (* y (+ (* -1 x) (* 1/4 x)))))))) |
(+ (sqrt x) (* y (+ (* -1/2 (sqrt x)) (* y (+ (* -1/2 (* (sqrt (/ 1 x)) (* y (+ x (* 1/2 (+ (* -1 x) (* 1/4 x))))))) (* -1/2 (* (sqrt (/ 1 x)) (+ (* -1 x) (* 1/4 x))))))))) |
(+ 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))))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(* (pow y 2) (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ 1 (/ x y)))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ x y))) |
(- (+ 1 (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 3))) (+ (/ 1 (pow y 2)) (/ x y)))) (+ (/ 1 y) (/ x (pow y 2)))) |
(sqrt (/ x y)) |
(+ (sqrt (/ x y)) (* -1/2 (sqrt (/ x (pow y 3))))) |
(+ (sqrt (/ x y)) (+ (* -1/2 (sqrt (/ x (pow y 3)))) (* 1/2 (sqrt (/ x (pow y 5)))))) |
(+ (sqrt (/ x y)) (+ (* -1/2 (sqrt (/ x (pow y 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* x (pow y 7)))) (+ x (* 1/4 (* x y))))) (* 1/2 (sqrt (/ x (pow y 5))))))) |
(* 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))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) 1)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- 1 x) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y)))) y))) |
(* (sqrt (/ x y)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (sqrt (/ x (pow y 3)))) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ x (pow y 3)))) (+ (* 1/2 (sqrt (/ x (pow y 5)))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt (* x y))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x (* -1/4 (/ (* x y) (pow (sqrt -1) 2))))))) (pow y 3))) (+ (* -1/2 (sqrt (/ x (pow y 3)))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | x | @ | -inf | ((/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (* (- 1 y) x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (/ x y) (+ (* (sqrt (/ x (+ y 1))) (sqrt (/ x (+ y 1)))) (/ y (+ y 1))) (sqrt (/ x (+ y 1))) (/ x (+ y 1)) (+ y 1)) |
| 2.0ms | y | @ | -inf | ((/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (* (- 1 y) x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (/ x y) (+ (* (sqrt (/ x (+ y 1))) (sqrt (/ x (+ y 1)))) (/ y (+ y 1))) (sqrt (/ x (+ y 1))) (/ x (+ y 1)) (+ y 1)) |
| 2.0ms | x | @ | inf | ((/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (* (- 1 y) x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (/ x y) (+ (* (sqrt (/ x (+ y 1))) (sqrt (/ x (+ y 1)))) (/ y (+ y 1))) (sqrt (/ x (+ y 1))) (/ x (+ y 1)) (+ y 1)) |
| 2.0ms | x | @ | 0 | ((/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (* (- 1 y) x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (/ x y) (+ (* (sqrt (/ x (+ y 1))) (sqrt (/ x (+ y 1)))) (/ y (+ y 1))) (sqrt (/ x (+ y 1))) (/ x (+ y 1)) (+ y 1)) |
| 2.0ms | y | @ | inf | ((/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (* (- 1 y) x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (/ x y) (+ (* (sqrt (/ x (+ y 1))) (sqrt (/ x (+ y 1)))) (/ y (+ y 1))) (sqrt (/ x (+ y 1))) (/ x (+ y 1)) (+ y 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 275 | 937 |
| 1 | 908 | 837 |
| 2 | 3393 | 777 |
| 0 | 8278 | 743 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(* y (+ 1 (* -1 y))) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(/ x (+ 1 y)) |
(* x (- 1 y)) |
(/ x y) |
(sqrt (/ x (+ 1 y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* y (- y 1)))) |
(* x (+ 1 (+ (* y (- y 1)) (/ (* y (+ 1 (* -1 y))) x)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* y (+ 1 (* -1 y))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* -1 y))) x)) (* y (+ 1 (* -1 y)))) 1))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (+ 1 y))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ (pow (sqrt -1) 2) (+ 1 y))))) |
(* -1 (* (sqrt (/ x (+ 1 y))) (pow (sqrt -1) 2))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
y |
1 |
(+ 1 (* -1 y)) |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(+ x (* y (- (+ 1 (* -1 (* y (+ 1 (* -1 x))))) x))) |
(+ x (* y (- (+ 1 (* y (- (* y (- 1 x)) (+ 1 (* -1 x))))) x))) |
(sqrt x) |
(+ (sqrt x) (* -1/2 (* (sqrt x) y))) |
(+ (sqrt x) (* y (+ (* -1/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (* y (+ (* -1 x) (* 1/4 x)))))))) |
(+ (sqrt x) (* y (+ (* -1/2 (sqrt x)) (* y (+ (* -1/2 (* (sqrt (/ 1 x)) (* y (+ x (* 1/2 (+ (* -1 x) (* 1/4 x))))))) (* -1/2 (* (sqrt (/ 1 x)) (+ (* -1 x) (* 1/4 x))))))))) |
(+ 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))))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(* (pow y 2) (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ 1 (/ x y)))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ x y))) |
(- (+ 1 (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 3))) (+ (/ 1 (pow y 2)) (/ x y)))) (+ (/ 1 y) (/ x (pow y 2)))) |
(sqrt (/ x y)) |
(+ (sqrt (/ x y)) (* -1/2 (sqrt (/ x (pow y 3))))) |
(+ (sqrt (/ x y)) (+ (* -1/2 (sqrt (/ x (pow y 3)))) (* 1/2 (sqrt (/ x (pow y 5)))))) |
(+ (sqrt (/ x y)) (+ (* -1/2 (sqrt (/ x (pow y 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* x (pow y 7)))) (+ x (* 1/4 (* x y))))) (* 1/2 (sqrt (/ x (pow y 5))))))) |
(* 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))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) 1)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- 1 x) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y)))) y))) |
(* (sqrt (/ x y)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (sqrt (/ x (pow y 3)))) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ x (pow y 3)))) (+ (* 1/2 (sqrt (/ x (pow y 5)))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt (* x y))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x (* -1/4 (/ (* x y) (pow (sqrt -1) 2))))))) (pow y 3))) (+ (* -1/2 (sqrt (/ x (pow y 3)))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))) |
| 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 (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(+.f64 x (*.f64 y (fma.f64 (-.f64 y #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) y)))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ x y) |
(/.f64 x y) |
(sqrt (/ x (+ 1 y))) |
(sqrt.f64 (/.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 (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* y (- y 1)) (/ (* y (+ 1 (* -1 y))) x)))) |
(*.f64 (fma.f64 y (-.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) y) x)) #s(literal 1 binary64)) 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 (- (* y (+ 1 (* -1 y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* -1 y))) x)) (* y (+ 1 (* -1 y)))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) y) x) (+.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (+ 1 y))) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ (pow (sqrt -1) 2) (+ 1 y))))) |
(/.f64 (fma.f64 (/.f64 y x) x x) (-.f64 y #s(literal -1 binary64))) |
(* -1 (* (sqrt (/ x (+ 1 y))) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 x (-.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (-.f64 (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) |
y |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* y (- (* x y) x))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y (neg.f64 x)) y x) |
(+ x (* y (- (+ 1 (* -1 (* y (+ 1 (* -1 x))))) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) y x) |
(+ x (* y (- (+ 1 (* y (- (* y (- 1 x)) (+ 1 (* -1 x))))) 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) |
(sqrt x) |
(sqrt.f64 x) |
(+ (sqrt x) (* -1/2 (* (sqrt x) y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) y (sqrt.f64 x)) |
(+ (sqrt x) (* y (+ (* -1/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (* y (+ (* -1 x) (* 1/4 x)))))))) |
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y (sqrt.f64 x)) (sqrt.f64 x)) |
(+ (sqrt x) (* y (+ (* -1/2 (sqrt x)) (* y (+ (* -1/2 (* (sqrt (/ 1 x)) (* y (+ x (* 1/2 (+ (* -1 x) (* 1/4 x))))))) (* -1/2 (* (sqrt (/ 1 x)) (+ (* -1 x) (* 1/4 x))))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3/4 binary64) x (*.f64 (*.f64 x #s(literal 5/8 binary64)) y))) y (sqrt.f64 x))) y (sqrt.f64 x)) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) x) y) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) |
(* (pow y 2) (- x 1)) |
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y) |
(* (pow y 2) (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (*.f64 (-.f64 (-.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y)) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) (/.f64 x y)) (*.f64 y 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) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
(/ (+ x (* -1 (/ x y))) y) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 (/.f64 x y) x) y) |
(- (+ 1 (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 3))) (+ (/ 1 (pow y 2)) (/ x y)))) (+ (/ 1 y) (/ x (pow y 2)))) |
(+.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (-.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y)) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) |
(sqrt (/ x y)) |
(sqrt.f64 (/.f64 x y)) |
(+ (sqrt (/ x y)) (* -1/2 (sqrt (/ x (pow y 3))))) |
(fma.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 x y))) |
(+ (sqrt (/ x y)) (+ (* -1/2 (sqrt (/ x (pow y 3)))) (* 1/2 (sqrt (/ x (pow y 5)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (/.f64 x y))) |
(+ (sqrt (/ x y)) (+ (* -1/2 (sqrt (/ x (pow y 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* x (pow y 7)))) (+ x (* 1/4 (* x y))))) (* 1/2 (sqrt (/ x (pow y 5))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) x))) (-.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 5 binary64)))))) (sqrt.f64 (/.f64 x y))) |
(* 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))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #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 (-.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)) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) 1)) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))) y) (-.f64 x #s(literal 1 binary64))) (*.f64 y y)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x) y) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) x) y) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- 1 x) y)))) y))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) 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)) |
(* (sqrt (/ x y)) (pow (sqrt -1) 2)) |
(*.f64 (sqrt.f64 (/.f64 x y)) #s(literal -1 binary64)) |
(+ (* -1/2 (sqrt (/ x (pow y 3)))) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) |
(fma.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(+ (* -1/2 (sqrt (/ x (pow y 3)))) (+ (* 1/2 (sqrt (/ x (pow y 5)))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 x y)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt (* x y))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x (* -1/4 (/ (* x y) (pow (sqrt -1) 2))))))) (pow y 3))) (+ (* -1/2 (sqrt (/ x (pow y 3)))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 x y)) #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (fma.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1/4 binary64) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x))))) (pow.f64 y #s(literal 3 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 171 |
| 0 | 42 | 160 |
| 1 | 168 | 160 |
| 2 | 1272 | 160 |
| 0 | 8193 | 156 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y) |
#s(approx (- 1 y) (neg.f64 y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
#s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
#s(approx (/ x (- y -1)) (/.f64 x y)) |
(/.f64 x y) |
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y) |
(*.f64 y #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
#s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x) |
(*.f64 x #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
#s(approx (/ x (- y -1)) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (-.f64 y x) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 (*.f64 y y) #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))))) (+.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))))) |
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(*.f64 (sqrt.f64 (/.f64 x (-.f64 (*.f64 y y) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (*.f64 y y) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fabs.f64 (sqrt.f64 (neg.f64 x))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y))))) |
(/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) y))))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) x))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y))))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)))) |
(/.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(neg.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)))) |
(sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fabs.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)))) |
(exp.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y))))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)))))) |
(*.f64 (fabs.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (fabs.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (fabs.f64 (/.f64 x (-.f64 (*.f64 y y) #s(literal 1 binary64)))) (fabs.f64 (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3/2 binary64))) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 x (-.f64 (*.f64 y y) #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) y))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y))))) |
(/.f64 (fabs.f64 (sqrt.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) y))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (fabs.f64 (sqrt.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (fabs.f64 (neg.f64 (neg.f64 x))) (fabs.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y))))) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 x) (/.f64 x (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (neg.f64 x))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)))) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (sqrt.f64 (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (neg.f64 y))))) |
(/.f64 (sqrt.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)))) |
(/.f64 (neg.f64 x) (+.f64 #s(literal -1 binary64) (neg.f64 y))) |
(/.f64 x (fabs.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)))) |
(/.f64 x (fabs.f64 (+.f64 #s(literal 1 binary64) y))) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(neg.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y))) |
(neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 y)))) |
(neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) |
(fabs.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y))) |
(fabs.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 y)))) |
(fabs.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 y))) |
(+.f64 (cosh.f64 (-.f64 (log.f64 x) (log1p.f64 y))) (sinh.f64 (-.f64 (log.f64 x) (log1p.f64 y)))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 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 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (pow.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 -1 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 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 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 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (-.f64 (*.f64 (pow.f64 (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 -1 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 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 y #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 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))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 (*.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)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y))) |
(+.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) y) |
(+.f64 y #s(literal 1 binary64)) |
Compiled 13 497 to 1 388 computations (89.7% saved)
14 alts after pruning (3 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 480 | 3 | 483 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 1 | 8 | 9 |
| Total | 482 | 14 | 496 |
| Status | Accuracy | Program |
|---|---|---|
| 31.2% | (fma.f64 (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) #s(approx (sqrt (/ x (+ y 1))) (sqrt.f64 (/.f64 x y))) (/.f64 y (+.f64 y #s(literal 1 binary64)))) | |
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | 72.0% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
| ✓ | 52.8% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
| ✓ | 52.9% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 45.9% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
| ✓ | 54.9% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
| ✓ | 16.6% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
| ✓ | 40.3% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
| ✓ | 3.1% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
| 40.5% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) | |
| ✓ | 15.0% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
| ✓ | 2.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
| 15.4% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
Compiled 615 to 273 computations (55.6% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) 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 (/ x (- y -1)) (/.f64 x 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)))) |
(/.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)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) #s(approx (sqrt (/ x (+ y 1))) (sqrt.f64 (/.f64 x y))) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
3 calls:
| 8.0ms | y |
| 5.0ms | x |
| 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)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) 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 (/ x (- y -1)) (/.f64 x 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)))) |
3 calls:
| 7.0ms | x |
| 4.0ms | y |
| 4.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 4 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 79.7% | 3 | x |
| 85.9% | 4 | y |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) 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 (/ x (- y -1)) (/.f64 x 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 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
3 calls:
| 4.0ms | y |
| 4.0ms | x |
| 3.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.6% | 3 | x |
| 67.6% | 3 | y |
| 67.6% | 3 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) 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 (/ x (- y -1)) (/.f64 x y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.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 |
|---|---|---|
| 52.9% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 52.9% | 1 | x |
| 66.3% | 3 | y |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
3 calls:
| 44.0ms | y |
| 3.0ms | x |
| 3.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.9% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 52.9% | 1 | x |
| 52.9% | 1 | y |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
3 calls:
| 1.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.6% | 2 | y |
| 44.9% | 3 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 48.5% | 3 | x |
Compiled 9 to 10 computations (-11.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 15.4% | 1 | y |
| 15.4% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 15.4% | 1 | x |
Compiled 9 to 10 computations (-11.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3454160270323734 | 1.682047066073063 |
| 0.0ms | 3.8613808423835564e-23 | 2.867101316043807e-22 |
| 0.0ms | -34949519359852172.0 | -2447.0841038858634 |
Compiled 10 to 11 computations (-10% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 9.354147894261552e-9 | 0.000223337430669328 |
| 32.0ms | -0.005332722350871754 | -2.6228979665510505e-9 |
| 11.0ms | 272× | 0 | valid |
Compiled 469 to 385 computations (17.9% saved)
ival-add: 3.0ms (59.5% of total)ival-div: 2.0ms (39.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.44122943005316695 | 123385.41852784628 |
| 12.0ms | -2893341.2513029873 | -0.005332722350871754 |
| 12.0ms | 288× | 0 | valid |
Compiled 568 to 443 computations (22% saved)
ival-add: 3.0ms (52% of total)ival-div: 2.0ms (34.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.4120825533240082e-204 | 1.66334406953463e-192 |
| 11.0ms | -2.3327483678879426e-114 | -1.0256061026539823e-120 |
| 12.0ms | 304× | 0 | valid |
Compiled 960 to 676 computations (29.6% saved)
ival-add: 3.0ms (54.9% of total)ival-div: 2.0ms (36.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 272 |
| 1 | 92 | 272 |
| 2 | 119 | 272 |
| 3 | 192 | 272 |
| 4 | 364 | 272 |
| 5 | 617 | 272 |
| 6 | 1254 | 268 |
| 7 | 1660 | 268 |
| 8 | 2120 | 268 |
| 9 | 2831 | 268 |
| 10 | 3970 | 268 |
| 11 | 7073 | 268 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -20000000000000000 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 4253529586511731/85070591730234615865843651857942052864 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 3/2 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 y #s(literal -1682343059522311/590295810358705651712 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 y #s(literal 3423715700080493/2361183241434822606848 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) 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 (/ x (- y -1)) (/.f64 x y))) (if (<=.f64 y #s(literal 2296835809958953/2251799813685248 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
(if (<=.f64 x #s(literal -3815193499110241/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 3787297849114829/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -20000000000000000 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 4253529586511731/85070591730234615865843651857942052864 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 3/2 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 y #s(literal -1682343059522311/590295810358705651712 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 y #s(literal 3423715700080493/2361183241434822606848 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))))) |
(if (or (<=.f64 y #s(literal -1682343059522311/590295810358705651712 binary64)) (not (<=.f64 y #s(literal 3423715700080493/2361183241434822606848 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) #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)) #s(approx (/ x (- y -1)) (/.f64 x y))) (if (<=.f64 y #s(literal 2296835809958953/2251799813685248 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.f64 x y))))) |
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 2296835809958953/2251799813685248 binary64)))) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (/.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)) |
(if (<=.f64 x #s(literal -3815193499110241/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 3787297849114829/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))))) |
(if (or (<=.f64 x #s(literal -3815193499110241/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 binary64)) (not (<=.f64 x #s(literal 3787297849114829/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016 binary64)))) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (- y -1)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 275 | 937 |
| 1 | 908 | 837 |
| 2 | 3393 | 777 |
| 0 | 8278 | 743 |
| 0 | 88 | 243 |
| 1 | 270 | 228 |
| 2 | 789 | 202 |
| 3 | 3223 | 198 |
| 0 | 8285 | 186 |
| 0 | 265 | 1067 |
| 1 | 870 | 926 |
| 2 | 2885 | 867 |
| 0 | 8574 | 835 |
| 0 | 638 | 2651 |
| 1 | 2151 | 2349 |
| 0 | 8070 | 2248 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 272 to 72 computations (73.5% saved)
Compiled 558 to 156 computations (72% saved)
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