
Time bar (total: 5.3s)
| 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)
| 568.0ms | 8 256× | 0 | valid |
ival-add: 223.0ms (74.2% of total)ival-div: 60.0ms (20% of total)ival-true: 6.0ms (2% of total)exact: 6.0ms (2% of total)ival-assert: 4.0ms (1.3% of total)adjust: 2.0ms (0.7% 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 |
| 56.0ms | 512× | 0 | valid |
Compiled 43 to 22 computations (48.8% saved)
ival-add: 38.0ms (89% of total)ival-div: 3.0ms (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)| 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)
| 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 |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ x y) |
x |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* 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 | x | @ | inf | ((/ (+ x y) (+ y 1)) (+ x y) x y (+ y 1) 1) |
| 1.0ms | y | @ | inf | ((/ (+ x y) (+ y 1)) (+ x y) x y (+ y 1) 1) |
| 1.0ms | x | @ | -inf | ((/ (+ x y) (+ y 1)) (+ x y) x y (+ y 1) 1) |
| 1.0ms | y | @ | -inf | ((/ (+ x y) (+ y 1)) (+ x y) x y (+ y 1) 1) |
| 1.0ms | x | @ | 0 | ((/ (+ x y) (+ y 1)) (+ x y) x y (+ y 1) 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 |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* 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 |
(/ 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 (+ 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 | 16 |
| 0 | 9 | 16 |
| 1 | 43 | 16 |
| 2 | 280 | 16 |
| 3 | 3040 | 16 |
| 0 | 10269 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 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 (+.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))))) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x (fma.f64 y y #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)) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x (-.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 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)))) |
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x |
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(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(*.f64 #s(literal 1 binary64) y) |
(*.f64 y #s(literal 1 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(pow.f64 y #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 y y)) |
(fabs.f64 (neg.f64 (neg.f64 y))) |
(fabs.f64 (neg.f64 y)) |
(fabs.f64 y) |
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64))) |
(exp.f64 (log.f64 y)) |
(+.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y))) |
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)) |
#s(literal 1 binary64) |
Compiled 23 943 to 2 064 computations (91.4% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 645 | 5 | 650 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 646 | 5 | 651 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 43.0% | #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)) |
| ▶ | 43.3% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
| ▶ | 52.8% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
| ▶ | 49.0% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
| ▶ | 57.7% | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
Compiled 148 to 106 computations (28.4% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
#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) |
#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(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)) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
1 |
(+ 1 (* -1 x)) |
x |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(/ 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 y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* 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 (- 1 (/ 1 x))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -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 (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- 1 x) y) |
(+ 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))) |
(- (+ 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 (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(* y (+ 1 (/ 1 y))) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(* (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 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(+ 1 (* -1 (/ (- 1 x) 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)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | x | @ | -inf | ((/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) 1 (/ (- 1 x) y) (- 1 x) x y (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (- y -1) -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) (- x 1)) |
| 3.0ms | y | @ | 0 | ((/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) 1 (/ (- 1 x) y) (- 1 x) x y (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (- y -1) -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) (- x 1)) |
| 3.0ms | x | @ | 0 | ((/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) 1 (/ (- 1 x) y) (- 1 x) x y (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (- y -1) -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) (- x 1)) |
| 2.0ms | x | @ | inf | ((/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) 1 (/ (- 1 x) y) (- 1 x) x y (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (- y -1) -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) (- x 1)) |
| 2.0ms | y | @ | -inf | ((/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) 1 (/ (- 1 x) y) (- 1 x) x y (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (- y -1) -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) (- x 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 236 | 901 |
| 1 | 767 | 827 |
| 2 | 2502 | 792 |
| 0 | 8728 | 758 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
1 |
(+ 1 (* -1 x)) |
x |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(/ 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 y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* 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 (- 1 (/ 1 x))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -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 (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- 1 x) y) |
(+ 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))) |
(- (+ 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 (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(* y (+ 1 (/ 1 y))) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(* (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 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(+ 1 (* -1 (/ (- 1 x) 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)))) |
| 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))) |
(- 1 (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(/ x (+ 1 y)) |
(/.f64 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)))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) x)) y x) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (+ (* -1 y) (* x (- y 1)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 y) (* x y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) 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 (fma.f64 (/.f64 y x) x x) (-.f64 y #s(literal -1 binary64))) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) 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) |
(* 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)))) |
(fma.f64 (*.f64 y x) (-.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) y) x)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- (+ y (+ (* -1 (/ y x)) (/ 1 x))) 1)) |
(fma.f64 (-.f64 y (/.f64 y x)) x (-.f64 #s(literal 1 binary64) x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(fma.f64 (-.f64 y (/.f64 y x)) x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 y x x)) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (neg.f64 x)) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -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 (- (* 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 #s(literal -1 binary64) y) (/.f64 y x) (-.f64 y (fma.f64 y y #s(literal 1 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))) |
(fma.f64 (-.f64 y (/.f64 y x)) x (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(fma.f64 (-.f64 y (/.f64 y x)) x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) x)) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (-.f64 x #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ 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) y) x (neg.f64 x)) y x) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(*.f64 (fma.f64 (-.f64 y (fma.f64 y y #s(literal 1 binary64))) y #s(literal 1 binary64)) y) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* y (- x 1))) x) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) 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 (+.f64 y x) y) 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))) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 (/.f64 x y) x) y 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 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) y)) (/.f64 #s(literal 1 binary64) y)) |
(* (pow y 2) (- x 1)) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) y) y) |
(* (pow y 2) (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (-.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y)) #s(literal 1 binary64)) (*.f64 y y)) |
(* (pow y 2) (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (+.f64 y x) y)) y)) #s(literal 1 binary64)) (*.f64 y y)) |
(* y (- x 1)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) y) |
(* y (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (-.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y)) #s(literal 1 binary64)) y) |
(* y (- (+ x (/ 1 y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) 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 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) y)) |
(+ 1 (* -1 (/ (- 1 x) y))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 (/.f64 x y) x) y 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 (* -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 x (/.f64 (+.f64 y x) y)) y)) #s(literal 1 binary64)) (*.f64 y y)) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ (- 1 x) y))))) |
(*.f64 (-.f64 (-.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y)) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(*.f64 (-.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 140 |
| 0 | 37 | 140 |
| 1 | 163 | 140 |
| 2 | 1238 | 140 |
| 0 | 8196 | 140 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
#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) |
#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(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)) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (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 (*.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 (neg.f64 y) (-.f64 x #s(literal 1 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 y (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(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)) (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.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)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) y))) (/.f64 (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 (/.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 #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 #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 #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 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 3 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 (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 (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 (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 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (+.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 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) (*.f64 (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (+.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 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (+.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 (neg.f64 (neg.f64 (fma.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 (fma.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 (fma.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 16 952 to 1 972 computations (88.4% saved)
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 451 | 7 | 458 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 454 | 9 | 463 |
| Status | Accuracy | Program |
|---|---|---|
| 35.7% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) y x)) | |
| ▶ | 35.6% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
| ▶ | 43.3% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 52.8% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
| ✓ | 49.0% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
| ▶ | 57.3% | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
| 15.9% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) | |
| ▶ | 9.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
| ▶ | 10.4% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
Compiled 310 to 204 computations (34.2% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (- 1 x) (neg.f64 x)) y) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
#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)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
1 |
(+ 1 (* -1 x)) |
(* -1 x) |
x |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* -1 (* x y))) |
(* y (+ 1 (* -1 y))) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 x) 1)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* -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 (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -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 (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- 1 x) y) |
(* y (- 1 x)) |
(+ 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)) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(+ 1 (* -1 (/ (- 1 x) 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)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | x | @ | inf | ((/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) 1 (/ (- 1 x) y) (- 1 x) (neg x) x y (/ (+ 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)) (+ (* (- 1 x) y) x)) |
| 2.0ms | y | @ | -inf | ((/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) 1 (/ (- 1 x) y) (- 1 x) (neg x) x y (/ (+ 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)) (+ (* (- 1 x) y) x)) |
| 1.0ms | x | @ | -inf | ((/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) 1 (/ (- 1 x) y) (- 1 x) (neg x) x y (/ (+ 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)) (+ (* (- 1 x) y) x)) |
| 1.0ms | y | @ | inf | ((/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) 1 (/ (- 1 x) y) (- 1 x) (neg x) x y (/ (+ 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)) (+ (* (- 1 x) y) x)) |
| 1.0ms | x | @ | 0 | ((/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) 1 (/ (- 1 x) y) (- 1 x) (neg x) x y (/ (+ 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)) (+ (* (- 1 x) y) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 579 |
| 1 | 513 | 539 |
| 2 | 1603 | 505 |
| 3 | 6378 | 503 |
| 0 | 8572 | 483 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
1 |
(+ 1 (* -1 x)) |
(* -1 x) |
x |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* -1 (* x y))) |
(* y (+ 1 (* -1 y))) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 x) 1)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* -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 (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -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 (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- 1 x) y) |
(* y (- 1 x)) |
(+ 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)) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(+ 1 (* -1 (/ (- 1 x) 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)))) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(- 1 (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
x |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(fma.f64 y (fma.f64 (-.f64 y #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) y)) x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* 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)))) |
(fma.f64 y (fma.f64 (-.f64 y #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 y x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (neg.f64 x)) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(+.f64 y (*.f64 (-.f64 y #s(literal 1 binary64)) (neg.f64 x))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -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))) |
(fma.f64 (-.f64 y (fma.f64 y y #s(literal 1 binary64))) (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) x)) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ 1 (* -1 y)) |
(-.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 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 y x) y) y) x) y) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 1 binary64)) y)) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x 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 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) x) y (neg.f64 x))) y) |
(* (pow y 2) (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 y x) y) 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) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) y)) |
(+ 1 (* -1 (/ (- 1 x) y))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) 1)) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 y x) y) 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 198 |
| 0 | 44 | 198 |
| 1 | 187 | 198 |
| 2 | 1447 | 198 |
| 0 | 8163 | 192 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (- 1 x) (neg.f64 x)) y) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
#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)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal 1 binary64))))))) |
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(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) y) (*.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) y))) (+.f64 x (*.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) #s(approx (- 1 x) (neg.f64 x))) (*.f64 (neg.f64 y) #s(approx (- 1 x) (neg.f64 x))))) (+.f64 x (*.f64 (neg.f64 y) #s(approx (- 1 x) (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) y) (*.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) y) (*.f64 x (*.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) y))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) #s(approx (- 1 x) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 y) #s(approx (- 1 x) (neg.f64 x))) (*.f64 (neg.f64 y) #s(approx (- 1 x) (neg.f64 x))) (*.f64 x (*.f64 (neg.f64 y) #s(approx (- 1 x) (neg.f64 x))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) (*.f64 (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
(fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x))) |
(-.f64 x (*.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) y)) |
(-.f64 x (*.f64 (neg.f64 y) #s(approx (- 1 x) (neg.f64 x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y x)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y x))))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y x)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x))) |
(+.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x) |
(+.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
Compiled 10 104 to 1 061 computations (89.5% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 255 | 2 | 257 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 255 | 11 | 266 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 35.7% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) y x)) |
| ✓ | 35.6% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
| ✓ | 43.3% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 52.8% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
| ✓ | 49.0% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
| ✓ | 57.3% | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
| ▶ | 15.9% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
| ✓ | 9.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
| ▶ | 2.3% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
| ✓ | 10.4% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| ▶ | 3.2% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
Compiled 224 to 144 computations (35.7% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))) |
#s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- 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) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) y x)) |
(fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) y x) |
(-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) |
#s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) |
(*.f64 y x) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* -1 (* x y))) |
(* -1 (* x y)) |
(* -1 x) |
x |
(* y (+ 1 (* -1 y))) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ x y) |
(+ 1 (* -1 y)) |
(+ 1 (+ (* -1 y) (* x (- y 1)))) |
(+ 1 (+ (* -1 y) (* x y))) |
(* x y) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ 1 (* y (- y 1)))) |
(* x (+ 1 (+ (* y (- y 1)) (/ (* y (+ 1 (* -1 y))) x)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- y 1)) |
(* x (- (+ y (+ (* -1 (/ y x)) (/ 1 x))) 1)) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (- (* y (+ 1 (* -1 y))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* -1 y))) x)) (* y (+ 1 (* -1 y)))) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(* y (- 1 x)) |
1 |
(* -1 y) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(- 1 x) |
(- (+ 1 (* y (- x 1))) x) |
(+ 1 (* y (- x 1))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* 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)) |
(* y (- (/ 1 y) 1)) |
(* y (- x 1)) |
(* y (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (+ x (/ 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 (/ (- 1 x) y))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | y | @ | inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (* (neg x) y) (neg x) x y (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (neg y) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ x y) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (- (+ (* (- x 1) y) 1) x) (+ (* (- x 1) y) 1) (* y x)) |
| 2.0ms | y | @ | -inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (* (neg x) y) (neg x) x y (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (neg y) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ x y) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (- (+ (* (- x 1) y) 1) x) (+ (* (- x 1) y) 1) (* y x)) |
| 2.0ms | x | @ | -inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (* (neg x) y) (neg x) x y (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (neg y) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ x y) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (- (+ (* (- x 1) y) 1) x) (+ (* (- x 1) y) 1) (* y x)) |
| 2.0ms | x | @ | inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (* (neg x) y) (neg x) x y (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (neg y) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ x y) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (- (+ (* (- x 1) y) 1) x) (+ (* (- x 1) y) 1) (* y x)) |
| 1.0ms | x | @ | 0 | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (* (- 1 x) y) (* (neg x) y) (neg x) x y (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (* (- 1 y) y) (- 1 y) (neg y) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ x y) (/ (+ x y) (+ y 1)) (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (- (+ (* (- x 1) y) 1) x) (+ (* (- x 1) y) 1) (* y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 183 | 667 |
| 1 | 600 | 615 |
| 2 | 2019 | 566 |
| 0 | 8101 | 534 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* -1 (* x y))) |
(* -1 (* x y)) |
(* -1 x) |
x |
(* y (+ 1 (* -1 y))) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ x y) |
(+ 1 (* -1 y)) |
(+ 1 (+ (* -1 y) (* x (- y 1)))) |
(+ 1 (+ (* -1 y) (* x y))) |
(* x y) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ 1 (* y (- y 1)))) |
(* x (+ 1 (+ (* y (- y 1)) (/ (* y (+ 1 (* -1 y))) x)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- y 1)) |
(* x (- (+ y (+ (* -1 (/ y x)) (/ 1 x))) 1)) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (- (* y (+ 1 (* -1 y))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* -1 y))) x)) (* y (+ 1 (* -1 y)))) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(* y (- 1 x)) |
1 |
(* -1 y) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(- 1 x) |
(- (+ 1 (* y (- x 1))) x) |
(+ 1 (* y (- x 1))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* 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)) |
(* y (- (/ 1 y) 1)) |
(* y (- x 1)) |
(* y (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (+ x (/ 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 (/ (- 1 x) y))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 x) |
(neg.f64 x) |
x |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(+ (* x (+ 1 (* y (- y 1)))) (* y (+ 1 (* -1 y)))) |
(fma.f64 y (fma.f64 (-.f64 y #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) y)) x) |
(- 1 (/ 1 y)) |
(/.f64 (-.f64 y #s(literal 1 binary64)) y) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ x y) |
(/.f64 x y) |
(+ 1 (* -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 y x (-.f64 #s(literal 1 binary64) y)) |
(* x y) |
(*.f64 y x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* 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)))) |
(fma.f64 y (fma.f64 (-.f64 y #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) y)) x) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64)) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- (+ y (+ (* -1 (/ y x)) (/ 1 x))) 1)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(fma.f64 y x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 y x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) (neg.f64 x)) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(-.f64 y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -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))) |
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) y) y (*.f64 (-.f64 y (fma.f64 y y #s(literal 1 binary64))) x))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(fma.f64 y x (neg.f64 x)) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(fma.f64 y x (-.f64 #s(literal 1 binary64) y)) |
(+ 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 #s(literal -1 binary64) y) x (-.f64 #s(literal 1 binary64) y)) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)) x) y x) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
1 |
#s(literal 1 binary64) |
(* -1 y) |
(neg.f64 y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* y (- x 1))) x) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x (-.f64 #s(literal 1 binary64) y)) |
(+ 1 (* y (- x 1))) |
(fma.f64 y x (-.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 (-.f64 (+.f64 y x) #s(literal 1 binary64)) 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 y x) y) y) y) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 y y)) #s(literal 1 binary64))) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* (pow y 2) (- x 1)) |
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y) |
(* (pow y 2) (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y (neg.f64 x)) y y) |
(* (pow y 2) (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (+.f64 y x) y)) y)) #s(literal 1 binary64)) (*.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) |
(* y (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
(* y (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* y (- (+ x (/ 1 y)) (+ 1 (/ x y)))) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x (-.f64 #s(literal 1 binary64) y)) |
(* y (- (+ x (/ 1 y)) 1)) |
(fma.f64 y x (-.f64 #s(literal 1 binary64) y)) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) 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 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) y)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) 1)) |
(*.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (+.f64 y x) y)) y)) #s(literal 1 binary64)) (*.f64 y y)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 y)) |
(+ 1 (* -1 (/ (- 1 x) y))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ (- 1 x) y))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 230 |
| 0 | 45 | 230 |
| 1 | 191 | 230 |
| 2 | 1456 | 230 |
| 0 | 8495 | 220 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))) |
#s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
#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) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) y x)) |
(fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) y x) |
(-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) |
#s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) |
(*.f64 y x) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))) |
#s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 y) x) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 x (neg.f64 y)) |
(neg.f64 (*.f64 y x)) |
(neg.f64 x) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 x #s(literal 1 binary64)) |
x |
(*.f64 #s(literal 1 binary64) y) |
(*.f64 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) (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)) |
(neg.f64 y) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64)) (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x)) (*.f64 (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (*.f64 x x))) (*.f64 (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 x (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64))) (fma.f64 x (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x)) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64)) (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x)) (/.f64 (*.f64 x x) (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64))))) |
(-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) |
(+.f64 (/.f64 (pow.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) #s(literal 2 binary64)) (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x))) |
#s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x y) |
Compiled 6 942 to 604 computations (91.3% saved)
12 alts after pruning (1 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 157 | 1 | 158 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 7 | 7 |
| Total | 157 | 12 | 169 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 35.7% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) y x)) |
| ✓ | 35.6% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
| ✓ | 43.3% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 52.8% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
| ✓ | 49.0% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
| ✓ | 57.3% | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
| ✓ | 15.9% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
| ✓ | 9.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
| ✓ | 2.3% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
| 10.6% | #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))) | |
| ✓ | 10.4% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| ✓ | 3.2% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
Compiled 561 to 239 computations (57.4% 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)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.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)))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y x)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
3 calls:
| 33.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 5.0ms | y |
| 5.0ms | x |
| 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)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.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)))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
3 calls:
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 4 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 81.6% | 3 | x |
| 98.3% | 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)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.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)))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | y |
Compiled 1 to 2 computations (-100% 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)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.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)))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)) x) y x)) |
| 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 y (-.f64 y #s(literal -1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
2 calls:
| 4.0ms | y |
| 3.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 4 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 85.9% | 3 | y |
Compiled 8 to 8 computations (0% 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)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.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:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.1% | 3 | x |
| 57.0% | 3 | y |
| 57.1% | 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)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
3 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.2% | 3 | y |
| 43.3% | 1 | x |
| 43.3% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
2 calls:
| 3.0ms | y |
| 3.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.3% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 43.3% | 1 | y |
Compiled 8 to 8 computations (0% 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)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- x 1) y) 1) x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
3 calls:
| 3.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.3% | 1 | y |
| 43.3% | 1 | x |
| 43.3% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 9 to 10 computations (-11.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- 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 | x |
| 1.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 10.6% | 1 | y |
| 10.6% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 10.6% | 1 | x |
Compiled 9 to 10 computations (-11.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 7.091802968187734e-7 | 1400.909871752679 |
| 11.0ms | -25.792347120024132 | -6.455262203178654e-5 |
| 11.0ms | 288× | 0 | valid |
Compiled 532 to 425 computations (20.1% saved)
ival-add: 3.0ms (54.4% of total)ival-div: 2.0ms (36.3% 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 |
|---|---|---|
| 5.0ms | 7.091802968187734e-7 | 1400.909871752679 |
| 1.0ms | -25.792347120024132 | -6.455262203178654e-5 |
| 3.0ms | 64× | 0 | valid |
Compiled 586 to 461 computations (21.3% saved)
ival-add: 1.0ms (86.9% of total)ival-div: 0.0ms (0% 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)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0403350273840077 | 2998937.467331491 |
| 0.0ms | 0.08128986145491922 | 0.9702808094113573 |
| 0.0ms | -6072550.944389886 | -3.185623177708139 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999999944 | 1.0 |
| 0.0ms | -6072550.944389886 | -3.185623177708139 |
Compiled 10 to 11 computations (-10% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.091802968187734e-7 | 1400.909871752679 |
| 1.0ms | -25.792347120024132 | -6.455262203178654e-5 |
Compiled 604 to 443 computations (26.7% saved)
| 1× | egg-herbie |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 318 |
| 1 | 105 | 318 |
| 2 | 145 | 318 |
| 3 | 237 | 318 |
| 4 | 426 | 318 |
| 5 | 756 | 318 |
| 6 | 1523 | 316 |
| 7 | 2169 | 316 |
| 8 | 2785 | 316 |
| 9 | 3889 | 316 |
| 10 | 5020 | 316 |
| 11 | 7002 | 316 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -5000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64))))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -5000000 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 4503599627370471/4503599627370496 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- 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))) |
(/.f64 (+.f64 x y) (-.f64 y #s(literal -1 binary64))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))))) |
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -5000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64))))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 y #s(literal -1 binary64))) #s(literal -5000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 y #s(literal -1 binary64))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64))))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -5000000 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 4503599627370471/4503599627370496 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))))) |
(if (or (<=.f64 (/.f64 (+.f64 x y) (-.f64 y #s(literal -1 binary64))) #s(literal -5000000 binary64)) (not (<=.f64 (/.f64 (+.f64 x y) (-.f64 y #s(literal -1 binary64))) #s(literal 4503599627370471/4503599627370496 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 (- 1 (/ (- 1 x) y)) (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))))) |
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- (+ (* (- 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 | 183 | 667 |
| 1 | 600 | 615 |
| 2 | 2019 | 566 |
| 0 | 8101 | 534 |
| 0 | 166 | 579 |
| 1 | 513 | 539 |
| 2 | 1603 | 505 |
| 3 | 6378 | 503 |
| 0 | 8572 | 483 |
| 0 | 236 | 901 |
| 1 | 767 | 827 |
| 2 | 2502 | 792 |
| 0 | 8728 | 758 |
| 0 | 88 | 243 |
| 1 | 270 | 228 |
| 2 | 789 | 202 |
| 3 | 3223 | 198 |
| 0 | 8285 | 186 |
| 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 318 to 71 computations (77.7% saved)
Compiled 650 to 154 computations (76.3% saved)
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