
Time bar (total: 4.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 7 computations (22.2% saved)
| 440.0ms | 8 256× | 0 | valid |
ival-add: 84.0ms (41.8% of total)ival-div: 63.0ms (31.4% of total)ival-sub: 44.0ms (21.9% of total)ival-true: 6.0ms (3% of total)ival-assert: 3.0ms (1.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 x y) (-.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 |
| 24.0ms | 512× | 0 | valid |
Compiled 56 to 24 computations (57.1% saved)
ival-sub: 3.0ms (31.7% of total)ival-div: 3.0ms (31.7% of total)ival-add: 3.0ms (31.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 41 |
| 1 | 52 | 37 |
| 2 | 151 | 35 |
| 3 | 416 | 35 |
| 4 | 1026 | 35 |
| 5 | 1694 | 35 |
| 6 | 1934 | 35 |
| 7 | 1974 | 35 |
| 8 | 2089 | 35 |
| 9 | 2125 | 35 |
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 14 | 7 |
| 2 | 20 | 7 |
| 3 | 30 | 7 |
| 4 | 47 | 7 |
| 5 | 102 | 7 |
| 6 | 237 | 7 |
| 7 | 486 | 7 |
| 8 | 757 | 7 |
| 9 | 799 | 7 |
| 10 | 859 | 7 |
| 11 | 900 | 7 |
| 0 | 900 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) (-.f64 x y)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 x y)) |
(/.f64 (+.f64 y x) (-.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (+.f64 x y) (-.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 (+.f64 x y) (-.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 0 | 8 | 15 |
| 1 | 14 | 15 |
| 2 | 20 | 15 |
| 3 | 30 | 15 |
| 4 | 47 | 15 |
| 5 | 102 | 15 |
| 6 | 237 | 15 |
| 7 | 486 | 15 |
| 8 | 757 | 15 |
| 9 | 799 | 15 |
| 10 | 859 | 15 |
| 11 | 900 | 15 |
| 0 | 900 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (-.f64 x y)) |
(+.f64 x y) |
x |
y |
(-.f64 x y) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 x y)) |
(/.f64 (+.f64 y x) (-.f64 x y)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
(-.f64 x y) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.01171875 | (/.f64 (+.f64 x y) (-.f64 x y)) |
| 12.0ms | 256× | 0 | valid |
Compiled 32 to 12 computations (62.5% saved)
ival-div: 2.0ms (43.7% of total)ival-sub: 1.0ms (21.8% of total)ival-add: 1.0ms (21.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 x y) (-.f64 x y)) |
(+.f64 x y) |
(-.f64 x y) |
| Outputs |
|---|
-1 |
(- (* -2 (/ x y)) 1) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
y |
(+ x y) |
(* -1 y) |
(- x y) |
1 |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x))) |
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2))))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (* -1 (/ y x)))) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(+ 1 (* 2 (/ y x))) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(+ x (* -1 y)) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) |
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) |
(* y (+ 1 (/ x y))) |
(* y (- (/ x y) 1)) |
(- (* -1 (/ (- x (* -1 x)) y)) 1) |
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1) |
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ (+ x y) (- x y)) (+ x y) (- x y)) |
| 1.0ms | y | @ | inf | ((/ (+ x y) (- x y)) (+ x y) (- x y)) |
| 1.0ms | y | @ | -inf | ((/ (+ x y) (- x y)) (+ x y) (- x y)) |
| 1.0ms | x | @ | -inf | ((/ (+ x y) (- x y)) (+ x y) (- x y)) |
| 0.0ms | x | @ | 0 | ((/ (+ x y) (- x y)) (+ x y) (- x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 408 |
| 1 | 474 | 366 |
| 2 | 1640 | 312 |
| 3 | 7460 | 312 |
| 0 | 8041 | 274 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* -2 (/ x y)) 1) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
y |
(+ x y) |
(* -1 y) |
(- x y) |
1 |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x))) |
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2))))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (* -1 (/ y x)))) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(+ 1 (* 2 (/ y x))) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(+ x (* -1 y)) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) |
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) |
(* y (+ 1 (/ x y))) |
(* y (- (/ x y) 1)) |
(- (* -1 (/ (- x (* -1 x)) y)) 1) |
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1) |
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ x y)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) (*.f64 y y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64)) |
y |
(+ x y) |
(+.f64 y x) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y #s(literal 1 binary64)) |
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 (neg.f64 x) (/.f64 y x) x) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (neg.f64 x) (/.f64 y x) x) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) |
(-.f64 (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x y))) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (- (/ x y) 1)) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(- (* -1 (/ (- x (* -1 x)) y)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y) x #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) (*.f64 y y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 39 | 13 |
| 2 | 321 | 13 |
| 0 | 5563 | 13 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (-.f64 x y)) |
(+.f64 x y) |
(-.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 y x) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 x y))) |
(*.f64 (/.f64 (+.f64 y x) #s(literal 1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.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 x y))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (-.f64 x y))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
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(-.f64 #s(literal 0 binary64) (-.f64 y x)) |
(-.f64 x y) |
(+.f64 (*.f64 (*.f64 (-.f64 y x) y) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (-.f64 y x) y) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))) |
(+.f64 (*.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (-.f64 y x) y)) (*.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x)) (*.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (-.f64 y x) y))) |
(+.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(+.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 y) #s(literal 1 binary64))) |
(+.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y)) |
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x))))) |
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(+.f64 (neg.f64 y) x) |
(+.f64 x (neg.f64 y)) |
Compiled 16 092 to 1 605 computations (90% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 622 | 6 | 628 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 622 | 7 | 629 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (-.f64 x y)) |
| ▶ | 86.7% | (/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 (neg.f64 x) (/.f64 y x) x))) |
| ▶ | 53.6% | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
| 48.6% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) | |
| ▶ | 54.4% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
| ▶ | 47.4% | #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
| ▶ | 52.9% | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
Compiled 149 to 105 computations (29.5% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- x y) (neg.f64 y)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- x y) (fma.f64 (neg.f64 x) (/.f64 y x) x)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 (neg.f64 x) (/.f64 y x) x))) | |
| cost-diff | 1024 | (fma.f64 (neg.f64 x) (/.f64 y x) x) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 113 |
| 0 | 33 | 113 |
| 1 | 60 | 113 |
| 2 | 102 | 113 |
| 3 | 206 | 113 |
| 4 | 707 | 101 |
| 5 | 2405 | 101 |
| 6 | 3712 | 101 |
| 7 | 5197 | 101 |
| 8 | 6318 | 101 |
| 9 | 6608 | 101 |
| 10 | 6815 | 101 |
| 11 | 6935 | 101 |
| 0 | 8475 | 101 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 (neg.f64 x) (/.f64 y x) x))) |
(+.f64 x y) |
x |
y |
#s(approx (- x y) (fma.f64 (neg.f64 x) (/.f64 y x) x)) |
(fma.f64 (neg.f64 x) (/.f64 y x) x) |
(neg.f64 x) |
(/.f64 y x) |
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
(+.f64 x y) |
x |
y |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
y |
x |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 (neg.f64 x) (/.f64 y x) x))) |
(/.f64 (+.f64 y x) #s(approx (- x y) (-.f64 x y))) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
#s(approx (- x y) (fma.f64 (neg.f64 x) (/.f64 y x) x)) |
#s(approx (- x y) (-.f64 x y)) |
(fma.f64 (neg.f64 x) (/.f64 y x) x) |
(-.f64 x y) |
(neg.f64 x) |
(/.f64 y x) |
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
(/.f64 (+.f64 y x) #s(approx (- x y) (neg.f64 y))) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
y |
x |
#s(literal -1 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -2 binary64) y) | |
| accuracy | 0.0859375 | (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) | |
| accuracy | 29.209418937083395 | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.01171875 | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) | |
| accuracy | 29.62845038025581 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 33.634134789830746 | #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) | |
| accuracy | 30.15506707919508 | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0 | #s(approx (- x y) (fma.f64 (neg.f64 x) (/.f64 y x) x)) | |
| accuracy | 0.01171875 | (/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 (neg.f64 x) (/.f64 y x) x))) | |
| accuracy | 8.29367033177272 | (fma.f64 (neg.f64 x) (/.f64 y x) x) |
| 28.0ms | 256× | 0 | valid |
Compiled 197 to 40 computations (79.7% saved)
ival-div: 5.0ms (30.9% of total)ival-add: 4.0ms (24.7% of total)ival-mult: 3.0ms (18.5% of total)ival-neg: 2.0ms (12.3% of total)ival-sub: 1.0ms (6.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (neg.f64 x) (/.f64 y x) x) |
(/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 (neg.f64 x) (/.f64 y x) x))) |
(+.f64 x y) |
#s(approx (- x y) (fma.f64 (neg.f64 x) (/.f64 y x) x)) |
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) y) |
(neg.f64 x) |
| Outputs |
|---|
(* -1 y) |
(+ x (* -1 y)) |
-1 |
(- (* -2 (/ x y)) 1) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
y |
(+ x y) |
(- x y) |
(* -1 x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
1 |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x))) |
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2))))) |
(* x (+ 1 (/ y x))) |
(* -2 (/ x y)) |
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x)))) |
(* -1 (* x (- (/ y x) 1))) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y))))) |
(+ 1 (* 2 (/ y x))) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(/ (+ (* -2 x) (* -1 y)) y) |
(/ -2 y) |
(* y (- (/ x y) 1)) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) |
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(- (* -1 (/ (- x (* -1 x)) y)) 1) |
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1) |
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (* (neg x) (/ y x)) x) (/ (+ x y) (- x y)) (+ x y) (- x y) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (- x y) (neg y) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y) (neg x)) |
| 1.0ms | x | @ | inf | ((+ (* (neg x) (/ y x)) x) (/ (+ x y) (- x y)) (+ x y) (- x y) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (- x y) (neg y) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y) (neg x)) |
| 1.0ms | y | @ | 0 | ((+ (* (neg x) (/ y x)) x) (/ (+ x y) (- x y)) (+ x y) (- x y) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (- x y) (neg y) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y) (neg x)) |
| 1.0ms | y | @ | inf | ((+ (* (neg x) (/ y x)) x) (/ (+ x y) (- x y)) (+ x y) (- x y) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (- x y) (neg y) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y) (neg x)) |
| 1.0ms | y | @ | -inf | ((+ (* (neg x) (/ y x)) x) (/ (+ x y) (- x y)) (+ x y) (- x y) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (- x y) (neg y) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 405 |
| 1 | 505 | 365 |
| 2 | 1782 | 311 |
| 3 | 7534 | 311 |
| 0 | 8224 | 274 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 y) |
(+ x (* -1 y)) |
-1 |
(- (* -2 (/ x y)) 1) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
y |
(+ x y) |
(- x y) |
(* -1 x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
1 |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x))) |
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2))))) |
(* x (+ 1 (/ y x))) |
(* -2 (/ x y)) |
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x)))) |
(* -1 (* x (- (/ y x) 1))) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y))))) |
(+ 1 (* 2 (/ y x))) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(/ (+ (* -2 x) (* -1 y)) y) |
(/ -2 y) |
(* y (- (/ x y) 1)) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) |
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(- (* -1 (/ (- x (* -1 x)) y)) 1) |
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1) |
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(* -1 y) |
(neg.f64 y) |
(+ x (* -1 y)) |
(-.f64 x y) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ x y)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) (*.f64 y y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64)) |
y |
(+ x y) |
(+.f64 y x) |
(- x y) |
(-.f64 x y) |
(* -1 x) |
(neg.f64 x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y #s(literal 1 binary64)) |
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* -2 (/ x y)) |
(*.f64 (/.f64 #s(literal -2 binary64) y) x) |
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x)))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)) |
(/ (+ (* -2 x) (* -1 y)) y) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) |
(-.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) (*.f64 y y)) x) x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(- (* -1 (/ (- x (* -1 x)) y)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y) x #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) (*.f64 y y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 97 |
| 0 | 33 | 97 |
| 1 | 131 | 97 |
| 2 | 946 | 97 |
| 0 | 8881 | 97 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (neg.f64 x) (/.f64 y x) x) |
(/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 (neg.f64 x) (/.f64 y x) x))) |
(+.f64 x y) |
#s(approx (- x y) (fma.f64 (neg.f64 x) (/.f64 y x) x)) |
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) y) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (/.f64 y x) x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) x x))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y x) x x))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 (/.f64 y x) x) (-.f64 (*.f64 (/.f64 y x) x) (neg.f64 x)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (neg.f64 x) x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (neg.f64 x) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 y x) x x))) (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 y x) x x)))) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 y x) x x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 y x) x x)))) (fma.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y x) x x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 y x) x x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 y x) x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 y x) x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 y x) x x))) (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 y x) x x))) (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 y x) x x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 y x) x x)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 y x) x x))) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 y x) x x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (*.f64 (/.f64 y x) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 y x) x x))) (*.f64 (neg.f64 (fma.f64 (/.f64 y x) x x)) (*.f64 x x))) (*.f64 (neg.f64 (fma.f64 (/.f64 y x) x x)) (neg.f64 (fma.f64 (/.f64 y x) x x)))) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))) (*.f64 (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))) (+.f64 x (*.f64 (/.f64 y x) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (/.f64 y x) x x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 y x) x) (-.f64 (*.f64 (/.f64 y x) x) (neg.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (fma.f64 (/.f64 y x) x x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 (/.f64 y x) x) (-.f64 (*.f64 (/.f64 y x) x) (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 (/.f64 y x) x)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 y x) x) (-.f64 (*.f64 (/.f64 y x) x) (neg.f64 x)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (neg.f64 x) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (neg.f64 x) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (neg.f64 x) x)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (/.f64 y x) x x)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)))) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (/.f64 y x) x x))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))) y x) |
(fma.f64 (/.f64 (neg.f64 x) x) y x) |
(fma.f64 (/.f64 x x) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) x) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) x x) |
(fma.f64 (/.f64 (neg.f64 y) x) x x) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal -1 binary64))) x) |
(fma.f64 (*.f64 (neg.f64 y) x) (pow.f64 x #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (/.f64 y x) x) #s(literal -1 binary64) x) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) x) |
(fma.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y x) x x)) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 y x) x x)))) |
(fma.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y x) x x)) (/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (/.f64 y x) x x)))) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) x) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 x) x) y) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (neg.f64 x) x) y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) x) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 (neg.f64 x) x) y)) |
(fma.f64 (/.f64 y x) (neg.f64 x) x) |
(fma.f64 y (/.f64 (neg.f64 x) x) x) |
(fma.f64 y (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) x) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) x) y)) |
(fma.f64 (neg.f64 x) (/.f64 y x) x) |
(fma.f64 x (/.f64 (neg.f64 y) x) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 x) x) y)) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 (/.f64 y x) x))) (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (+.f64 x (*.f64 (/.f64 y x) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 y x) x x))) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 y x) x x))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 y x) x) x)) |
(-.f64 x (*.f64 (/.f64 y x) x)) |
(+.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 (/.f64 y x) x) (-.f64 (*.f64 (/.f64 y x) x) (neg.f64 x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 (/.f64 y x) x) (-.f64 (*.f64 (/.f64 y x) x) (neg.f64 x)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 (/.f64 y x) x) (-.f64 (*.f64 (/.f64 y x) x) (neg.f64 x))))) (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 (/.f64 y x) x) (-.f64 (*.f64 (/.f64 y x) x) (neg.f64 x)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x (*.f64 (/.f64 y x) x)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 y x) x x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 y x) x x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 y x) x x))) (/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (/.f64 y x) x x)))) |
(+.f64 (*.f64 (/.f64 (neg.f64 x) x) y) x) |
(+.f64 x (*.f64 (/.f64 (neg.f64 x) x) y)) |
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(*.f64 (*.f64 (pow.f64 #s(approx (- x y) (fma.f64 (/.f64 y x) (neg.f64 x) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y x)) |
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(/.f64 #s(literal -2 binary64) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) |
(neg.f64 (/.f64 #s(literal 2 binary64) y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 19 241 to 1 690 computations (91.2% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 623 | 0 | 623 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 623 | 7 | 630 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (-.f64 x y)) |
| ✓ | 86.7% | (/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 (neg.f64 x) (/.f64 y x) x))) |
| ✓ | 53.6% | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
| ▶ | 48.6% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
| ✓ | 54.4% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
| ✓ | 47.4% | #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
| ✓ | 52.9% | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
Compiled 78 to 55 computations (29.5% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 0 | 13 | 27 |
| 1 | 26 | 27 |
| 2 | 41 | 27 |
| 3 | 77 | 27 |
| 4 | 151 | 27 |
| 5 | 382 | 27 |
| 6 | 872 | 27 |
| 7 | 1348 | 27 |
| 8 | 1582 | 27 |
| 9 | 1670 | 27 |
| 10 | 1770 | 27 |
| 0 | 1770 | 27 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
y |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
y |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.08984375 | (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) | |
| accuracy | 32.90645138327511 | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
| 115.0ms | 256× | 0 | valid |
Compiled 50 to 22 computations (56% saved)
ival-add: 29.0ms (80.9% of total)ival-div: 3.0ms (8.4% of total)ival-mult: 2.0ms (5.6% of total)ival-sub: 1.0ms (2.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
| Outputs |
|---|
-1 |
(- (* -2 (/ x y)) 1) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(* 2 (/ y x)) |
(/ (+ x (* 2 y)) x) |
(/ 2 x) |
1 |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x))) |
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2))))) |
(+ 1 (* 2 (/ y x))) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) |
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(- (* -1 (/ (- x (* -1 x)) y)) 1) |
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1) |
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x)) |
| 0.0ms | x | @ | -inf | ((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x)) |
| 0.0ms | x | @ | inf | ((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x)) |
| 0.0ms | y | @ | inf | ((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x)) |
| 0.0ms | y | @ | -inf | ((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 353 |
| 1 | 421 | 319 |
| 2 | 1451 | 265 |
| 3 | 7864 | 263 |
| 0 | 8494 | 226 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* -2 (/ x y)) 1) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(* 2 (/ y x)) |
(/ (+ x (* 2 y)) x) |
(/ 2 x) |
1 |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x))) |
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2))))) |
(+ 1 (* 2 (/ y x))) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) |
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(- (* -1 (/ (- x (* -1 x)) y)) 1) |
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1) |
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ x y)) 1) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) (*.f64 y y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(/ (+ x (* 2 y)) x) |
(/.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(/.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)) |
(+ 1 (* 2 (/ y x))) |
(/.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) |
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y) x #s(literal -1 binary64))) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(/.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(- (* -1 (/ (- x (* -1 x)) y)) 1) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y) x #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) (*.f64 y y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 0 | 13 | 23 |
| 1 | 71 | 23 |
| 2 | 530 | 23 |
| 0 | 8453 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) x) y))) |
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #s(literal -1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64)))))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
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(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))) |
(/.f64 (+.f64 x (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 x x) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal -2 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
(neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -2 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
Compiled 5 378 to 589 computations (89% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 169 | 0 | 169 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 169 | 7 | 176 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (-.f64 x y)) |
| ✓ | 86.7% | (/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 (neg.f64 x) (/.f64 y x) x))) |
| ✓ | 53.6% | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
| ✓ | 48.6% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
| ✓ | 54.4% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
| ✓ | 47.4% | #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
| ✓ | 52.9% | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
Compiled 156 to 83 computations (46.8% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
(/.f64 (+.f64 x y) (-.f64 x y)) |
(/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 (neg.f64 x) (/.f64 y x) x))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 x y)) |
3 calls:
| 5.0ms | y |
| 3.0ms | x |
| 2.0ms | (/.f64 (+.f64 x y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (+.f64 x y) (-.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 (+.f64 x y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.8% | 3 | x |
| 77.1% | 3 | y |
| 99.8% | 2 | (/.f64 (+.f64 x y) (-.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (+.f64 x y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | (/.f64 (+.f64 x y) (-.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
1 calls:
| 1.0ms | (/.f64 (+.f64 x y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 2 | (/.f64 (+.f64 x y) (-.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
1 calls:
| 1.0ms | (/.f64 (+.f64 x y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 2 | (/.f64 (+.f64 x y) (-.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
3 calls:
| 4.0ms | (/.f64 (+.f64 x y) (-.f64 x y)) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.9% | 1 | y |
| 52.9% | 1 | x |
| 52.9% | 1 | (/.f64 (+.f64 x y) (-.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.999999993818703 | 0.999999952833106 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.999999993818703 | 0.999999952833106 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.999999993818703 | 0.999999952833106 |
Compiled 10 to 10 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | -0.999999993818703 | 0.999999952833106 |
| 4.0ms | 240× | 0 | valid |
Compiled 280 to 250 computations (10.7% saved)
ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 144 |
| 1 | 38 | 144 |
| 2 | 44 | 144 |
| 3 | 58 | 144 |
| 4 | 77 | 144 |
| 5 | 89 | 144 |
| 6 | 106 | 144 |
| 7 | 123 | 144 |
| 8 | 141 | 144 |
| 9 | 151 | 144 |
| 10 | 159 | 144 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) (-.f64 x y)) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -101201127/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 x y)) |
(/.f64 (+.f64 y x) (-.f64 x y)) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (+.f64 y x) #s(approx (- x y) (neg.f64 y))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -101201127/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -101201127/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 408 |
| 1 | 474 | 366 |
| 2 | 1640 | 312 |
| 3 | 7460 | 312 |
| 0 | 8041 | 274 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
Compiled 173 to 69 computations (60.1% saved)
Compiled 328 to 88 computations (73.2% saved)
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