
Time bar (total: 4.3s)
| 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 7 computations (22.2% saved)
| 357.0ms | 8 256× | 0 | valid |
ival-add: 60.0ms (34% of total)ival-div: 54.0ms (30.6% of total)ival-sub: 53.0ms (30% of total)ival-true: 6.0ms (3.4% of total)ival-assert: 3.0ms (1.7% 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 |
| 21.0ms | 512× | 0 | valid |
Compiled 56 to 24 computations (57.1% saved)
ival-sub: 3.0ms (31.5% of total)ival-div: 3.0ms (31.5% of total)ival-add: 3.0ms (31.5% 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 | 45 |
| 1 | 35 | 45 |
| 2 | 62 | 43 |
| 3 | 80 | 43 |
| 4 | 106 | 43 |
| 5 | 136 | 43 |
| 6 | 145 | 43 |
| 7 | 154 | 43 |
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 12 | 7 |
| 2 | 13 | 7 |
| 0 | 13 | 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 | 12 | 15 |
| 2 | 13 | 15 |
| 0 | 13 | 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 | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.02734375 | (/.f64 (+.f64 x y) (-.f64 x y)) |
| 10.0ms | 256× | 0 | valid |
Compiled 32 to 12 computations (62.5% saved)
ival-div: 2.0ms (44.1% of total)ival-sub: 1.0ms (22.1% of total)ival-add: 1.0ms (22.1% 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 | 402 |
| 1 | 440 | 364 |
| 2 | 1524 | 315 |
| 3 | 6695 | 315 |
| 0 | 8125 | 287 |
| 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) |
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64)) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(-.f64 (*.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) |
(-.f64 (*.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)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.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))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 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)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(-.f64 (*.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))) |
(-.f64 (*.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 (*.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 (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(- (* -1 (/ (- x (* -1 x)) y)) 1) |
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1) |
(-.f64 (*.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) |
(-.f64 (*.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 (-.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 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 | 32 | 13 |
| 2 | 226 | 13 |
| 0 | 2983 | 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 (neg.f64 (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (+.f64 y 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 (+.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 (+.f64 y x) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (+.f64 y x))) |
(*.f64 (*.f64 (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal 1 binary64)) (+.f64 y x)) |
(*.f64 (*.f64 (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x))) (*.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 (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (+.f64 y x) (-.f64 x y))) |
(*.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 x y) x (*.f64 y 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 x y) x (*.f64 y y)))) |
(*.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 y x) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x)) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 x y))) |
(*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (/.f64 (+.f64 y x) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (-.f64 x y)))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (+.f64 y x) (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x)))) |
(/.f64 (/.f64 (fma.f64 (-.f64 x y) y (*.f64 (-.f64 x y) x)) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (*.f64 (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (*.f64 (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(/.f64 (*.f64 (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y)) |
(/.f64 (*.f64 (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y))) |
(/.f64 (*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y))) |
(/.f64 (*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.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 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) |
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(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 y x))) |
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 y y))) (*.f64 (+.f64 y x) (+.f64 y x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (pow.f64 y #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 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(/.f64 (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 x y)) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(neg.f64 (neg.f64 (-.f64 x y))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (neg.f64 x) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (fabs.f64 x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (fabs.f64 x) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 x (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.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))) |
(fma.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))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.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))))))) |
(fma.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))))))) |
(fma.f64 x (/.f64 x (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(-.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(-.f64 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 x (/.f64 x (+.f64 y x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
Compiled 9 716 to 996 computations (89.7% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 342 | 7 | 349 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 342 | 8 | 350 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (-.f64 x y)) |
| ▶ | 48.6% | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
| 88.2% | (/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)) | |
| ▶ | 100.0% | (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
| ▶ | 52.4% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
| 48.9% | #s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64))) | |
| ▶ | 51.1% | #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
| ▶ | 47.8% | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
Compiled 171 to 117 computations (31.6% saved)
| 1× | egg-herbie |
Found 13 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))) | |
| 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 | (/.f64 x (-.f64 x y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 y (-.f64 x y)) | |
| cost-diff | 4 | (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 96 |
| 0 | 31 | 92 |
| 1 | 44 | 92 |
| 2 | 55 | 92 |
| 3 | 75 | 92 |
| 4 | 109 | 92 |
| 5 | 144 | 92 |
| 6 | 161 | 92 |
| 7 | 186 | 92 |
| 8 | 204 | 92 |
| 9 | 206 | 92 |
| 0 | 206 | 92 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
(/.f64 y (-.f64 x y)) |
y |
(-.f64 x y) |
x |
(/.f64 x (-.f64 x y)) |
#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) 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 |
|---|
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
(/.f64 (+.f64 x y) (-.f64 x y)) |
(/.f64 y (-.f64 x y)) |
y |
(-.f64 x y) |
x |
(/.f64 x (-.f64 x y)) |
#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) 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 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.1015625 | (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) | |
| accuracy | 30.4466164817586 | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) | |
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.02734375 | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) | |
| accuracy | 32.760263554619726 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 31.28709921082016 | #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) | |
| accuracy | 33.42228768727494 | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.01171875 | (/.f64 x (-.f64 x y)) | |
| accuracy | 0.015625 | (/.f64 y (-.f64 x y)) | |
| accuracy | 0.0234375 | (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
| 35.0ms | 256× | 0 | valid |
Compiled 178 to 38 computations (78.7% saved)
ival-neg: 11.0ms (45.7% of total)ival-div: 6.0ms (24.9% of total)ival-add: 3.0ms (12.5% of total)ival-sub: 2.0ms (8.3% of total)ival-mult: 2.0ms (8.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
(/.f64 y (-.f64 x y)) |
(-.f64 x y) |
(/.f64 x (-.f64 x y)) |
#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))) |
(+.f64 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) 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) |
(- (* -1 (/ x y)) 1) |
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1) |
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(* -1 y) |
(- x y) |
(* -1 (/ x y)) |
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
(* 2 (/ y x)) |
(/ (+ x (* 2 y)) x) |
(/ 2 x) |
1 |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(- (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ y x))) (* -1 (/ y x))) |
(- (+ 1 (+ (* 2 (/ (pow y 3) (pow x 3))) (/ y x))) (+ (* -2 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))) |
(/ y x) |
(/ (+ y (/ (pow y 2) x)) x) |
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(+ 1 (/ y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) |
(- (+ 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))) |
(+ 1 (* 2 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 y) y) x))) |
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (pow y 2) (* -1 (pow y 2))) x))) y) x))) |
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow y 3)) (pow y 3)) x)) (pow y 2)) (* -1 (pow y 2))) x))) y) x))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) |
(* -1 (* x (- (/ y x) 1))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) 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 (* 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))))) |
(* y (+ (/ 1 x) (/ y (pow x 2)))) |
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(+ x (* -1 y)) |
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(- (+ (* -2 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) (+ 1 (/ x y))) |
(- (+ (* -2 (/ (pow x 3) (pow y 3))) (* -1 (/ x y))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y)))) |
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) |
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(* y (- (/ x y) 1)) |
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) 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 (+ (* 2 (/ 1 x)) (/ 1 y))) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y)) (* 2 x)) y)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (* -1 (pow x 3))) y)) (* -1 (pow x 2))) (pow x 2)) y)) (* 2 x)) y)) 1) |
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (/ (+ x (/ (pow x 2) y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) 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 | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- 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 x) y) 1) (/ 2 x)) |
| 2.0ms | x | @ | inf | ((+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- 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 x) y) 1) (/ 2 x)) |
| 2.0ms | x | @ | -inf | ((+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- 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 x) y) 1) (/ 2 x)) |
| 1.0ms | y | @ | -inf | ((+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- 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 x) y) 1) (/ 2 x)) |
| 1.0ms | x | @ | 0 | ((+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- 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 x) y) 1) (/ 2 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 356 | 1162 |
| 1 | 1153 | 1045 |
| 2 | 3785 | 975 |
| 0 | 8371 | 907 |
| 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) |
(- (* -1 (/ x y)) 1) |
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1) |
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(* -1 y) |
(- x y) |
(* -1 (/ x y)) |
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
(* 2 (/ y x)) |
(/ (+ x (* 2 y)) x) |
(/ 2 x) |
1 |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(- (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ y x))) (* -1 (/ y x))) |
(- (+ 1 (+ (* 2 (/ (pow y 3) (pow x 3))) (/ y x))) (+ (* -2 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))) |
(/ y x) |
(/ (+ y (/ (pow y 2) x)) x) |
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(+ 1 (/ y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) |
(- (+ 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))) |
(+ 1 (* 2 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 y) y) x))) |
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (pow y 2) (* -1 (pow y 2))) x))) y) x))) |
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow y 3)) (pow y 3)) x)) (pow y 2)) (* -1 (pow y 2))) x))) y) x))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) |
(* -1 (* x (- (/ y x) 1))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) 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 (* 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))))) |
(* y (+ (/ 1 x) (/ y (pow x 2)))) |
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(+ x (* -1 y)) |
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(- (+ (* -2 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) (+ 1 (/ x y))) |
(- (+ (* -2 (/ (pow x 3) (pow y 3))) (* -1 (/ x y))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y)))) |
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) |
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(* y (- (/ x y) 1)) |
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) 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 (+ (* 2 (/ 1 x)) (/ 1 y))) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y)) (* 2 x)) y)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (* -1 (pow x 3))) y)) (* -1 (pow x 2))) (pow x 2)) y)) (* 2 x)) y)) 1) |
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (/ (+ x (/ (pow x 2) y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) 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 |
#s(literal -1 binary64) |
(- (* -2 (/ x y)) 1) |
(-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #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) |
(-.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 y y)) x (/.f64 #s(literal -2 binary64) y)) x) #s(literal 1 binary64)) |
(- (* -1 (/ x y)) 1) |
(-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1) |
(-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x) #s(literal 1 binary64)) |
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) (/.f64 #s(literal 1 binary64) y)) x) #s(literal 1 binary64)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x) |
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) (/.f64 #s(literal 1 binary64) y)) x) |
y |
(+ x y) |
(+.f64 x y) |
(* 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 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ y x))) (* -1 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* 2 (/ (pow y 3) (pow x 3))) (/ y x))) (+ (* -2 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 1 binary64))) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (/ (pow y 2) x)) x) |
(/.f64 (fma.f64 y (/.f64 y x) y) x) |
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x) |
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) x) |
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x) |
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y)) x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(+ 1 (/ y x)) |
(+.f64 (/.f64 y x) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) |
(fma.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) |
(+.f64 (/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) x) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y 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 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 1 binary64))) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(+ 1 (* 2 (/ y x))) |
(/.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(+ 1 (* -1 (/ (- (* -1 y) y) x))) |
(/.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (pow y 2) (* -1 (pow y 2))) x))) y) x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow y 3)) (pow y 3)) x)) (pow y 2)) (* -1 (pow y 2))) x))) y) x))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 1 binary64))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) |
(/.f64 (fma.f64 y (/.f64 y x) y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x)) |
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x) y) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) |
(fma.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) |
(+.f64 (/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y 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 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 1 binary64))) |
(* y (+ (/ 1 x) (/ y (pow x 2)))) |
(/.f64 (fma.f64 y (/.f64 y x) y) x) |
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))) |
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) x) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (/.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) x)) y (/.f64 #s(literal 1 binary64) x)) y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))) |
(+.f64 (/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) x) #s(literal 1 binary64)) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(- (+ (* -2 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) (+ 1 (/ x y))) |
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) y) x) #s(literal 1 binary64)) |
(- (+ (* -2 (/ (pow x 3) (pow y 3))) (* -1 (/ x y))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y)))) |
(-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 2 binary64))) y) #s(literal 1 binary64))) |
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) |
(-.f64 (*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64)) |
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(-.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y) |
(*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x))) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y) |
(/.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) y)) (neg.f64 y)) |
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) |
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #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 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 2 binary64))) y) #s(literal 1 binary64))) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(/.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y)) (* 2 x)) y)) 1) |
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) y) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (* -1 (pow x 3))) y)) (* -1 (pow x 2))) (pow x 2)) y)) (* 2 x)) y)) 1) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)))) y)) (neg.f64 y)) #s(literal 1 binary64)) |
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) |
(-.f64 (*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) |
(-.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* -1 (/ (+ x (/ (pow x 2) y)) y)) |
(*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x))) y) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) y)) (neg.f64 y)) |
(- (* -1 (/ (- x (* -1 x)) y)) 1) |
(-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1) |
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #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) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)))) y)) (neg.f64 y)) #s(literal 1 binary64)) |
(* -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 | 21 | 86 |
| 0 | 31 | 82 |
| 1 | 102 | 82 |
| 2 | 701 | 82 |
| 0 | 8596 | 82 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
(/.f64 y (-.f64 x y)) |
(-.f64 x y) |
(/.f64 x (-.f64 x y)) |
#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))) |
(+.f64 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) 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 |
|---|
(*.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (+.f64 x y)) |
(*.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(*.f64 (+.f64 (/.f64 (neg.f64 x) (-.f64 x y)) (fabs.f64 (/.f64 y (-.f64 x y)))) (-.f64 (/.f64 (neg.f64 x) (-.f64 x y)) (fabs.f64 (/.f64 y (-.f64 x y))))) |
(*.f64 (+.f64 (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 y (-.f64 x y))) (-.f64 (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 y (-.f64 x y)))) |
(*.f64 (+.f64 (fabs.f64 (/.f64 x (-.f64 x y))) (/.f64 (neg.f64 y) (-.f64 x y))) (-.f64 (fabs.f64 (/.f64 x (-.f64 x y))) (/.f64 (neg.f64 y) (-.f64 x y)))) |
(*.f64 (+.f64 (fabs.f64 (/.f64 x (-.f64 x y))) (fabs.f64 (/.f64 y (-.f64 x y)))) (-.f64 (fabs.f64 (/.f64 x (-.f64 x y))) (fabs.f64 (/.f64 y (-.f64 x y))))) |
(*.f64 (+.f64 (fabs.f64 (/.f64 x (-.f64 x y))) (/.f64 y (-.f64 x y))) (-.f64 (fabs.f64 (/.f64 x (-.f64 x y))) (/.f64 y (-.f64 x y)))) |
(*.f64 (+.f64 (/.f64 x (-.f64 x y)) (fabs.f64 (/.f64 y (-.f64 x y)))) (-.f64 (/.f64 x (-.f64 x y)) (fabs.f64 (/.f64 y (-.f64 x y))))) |
(*.f64 (/.f64 (+.f64 x y) (fabs.f64 (-.f64 y x))) (/.f64 (-.f64 x y) (fabs.f64 (-.f64 y x)))) |
(*.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (+.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) |
(*.f64 (/.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (-.f64 (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (neg.f64 y) (-.f64 x y)))) |
(*.f64 (/.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (/.f64 (-.f64 x y) (neg.f64 (-.f64 x y)))) |
(*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y)) |
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 x y)) (/.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(*.f64 (+.f64 x y) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (-.f64 x y) (-.f64 x y))) |
(/.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 y y (*.f64 (neg.f64 x) x))) (-.f64 y x)) |
(/.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 (-.f64 x y) x))) |
(/.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (+.f64 x y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (+.f64 x y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 4 binary64)) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 4 binary64))) (+.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y)))) (*.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))))) (+.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 x y) y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x y) y) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (pow.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 y x) (-.f64 x y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 6 binary64)) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 6 binary64))) (+.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 4 binary64)) (pow.f64 (/.f64 (*.f64 x y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))) (fma.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))) (*.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x y) y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 x y) y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x y) y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (-.f64 x y) y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (/.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (neg.f64 (/.f64 (-.f64 x y) (-.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (neg.f64 (-.f64 x y)) (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 y)))) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (-.f64 x y)) (neg.f64 y) (*.f64 (neg.f64 x) (neg.f64 (-.f64 x y))))) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 x (-.f64 x y))) (neg.f64 (-.f64 x y))) (*.f64 (neg.f64 (-.f64 x y)) (*.f64 (neg.f64 y) (/.f64 y (-.f64 x y))))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 x (-.f64 x y))) (-.f64 x y)) (*.f64 (neg.f64 (-.f64 x y)) (*.f64 (/.f64 y (-.f64 x y)) y))) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 x (-.f64 x y))) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (*.f64 (neg.f64 (-.f64 x y)) (*.f64 (neg.f64 y) y))) (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 x (-.f64 x y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (neg.f64 (-.f64 x y)) (*.f64 y y))) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (neg.f64 (-.f64 x y))) (*.f64 (-.f64 x y) (*.f64 (neg.f64 y) (/.f64 y (-.f64 x y))))) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (*.f64 (-.f64 x y) (*.f64 (neg.f64 y) y))) (*.f64 (-.f64 x y) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (-.f64 x y))) (*.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (/.f64 y (-.f64 x y))))) (*.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (neg.f64 (-.f64 x y)))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) y))) (*.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) |
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(+.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 x y) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 y (+.f64 x y)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 y (+.f64 x y)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) y)) |
(+.f64 (*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y y))) (*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x y))) |
(+.f64 (*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (+.f64 x y))) (*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (+.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (-.f64 x y) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 (-.f64 x y) x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 (-.f64 x y) x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (-.f64 x y) x)))) |
(+.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (*.f64 (neg.f64 y) (/.f64 y (-.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(+.f64 x y) |
(+.f64 y (*.f64 x #s(literal 1 binary64))) |
(+.f64 y x) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 (neg.f64 #s(approx (- x y) (neg.f64 y)))) |
(neg.f64 y) |
#s(approx (/ (+ x y) (- x y)) (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)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) (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 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) (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 (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)) (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 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) (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)))) (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 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) x) y)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) (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 3 binary64)) (pow.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)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) (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 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) (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 (*.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)) (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 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) (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)))) (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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (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 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) (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)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #s(literal 1 binary64))) (*.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))) (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 (-.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 (/.f64 #s(literal 2 binary64) x) y))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (*.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))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) x) y))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #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)) (-.f64 (*.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)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) x) y)))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (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)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (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))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #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)))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) x) y)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) x) y))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) x) y)))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 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)) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) (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 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) (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)))) (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 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -2 binary64) (neg.f64 x)) |
(/.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)) |
Compiled 20 178 to 1 781 computations (91.2% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 640 | 1 | 641 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 641 | 8 | 649 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (-.f64 x y)) |
| ✓ | 48.6% | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
| ▶ | 88.2% | (/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)) |
| ✓ | 100.0% | (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
| ✓ | 52.4% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
| ▶ | 48.9% | #s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))) |
| ✓ | 51.1% | #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
| ✓ | 47.8% | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
Compiled 89 to 61 computations (31.5% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)) | |
| cost-diff | 3 | (fma.f64 (/.f64 y x) x x) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) #s(literal -2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 72 |
| 0 | 24 | 72 |
| 1 | 39 | 72 |
| 2 | 56 | 69 |
| 3 | 82 | 63 |
| 4 | 138 | 63 |
| 5 | 399 | 63 |
| 6 | 1728 | 63 |
| 7 | 3261 | 63 |
| 8 | 4456 | 63 |
| 9 | 4734 | 63 |
| 10 | 5078 | 63 |
| 11 | 7505 | 63 |
| 0 | 8040 | 63 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) #s(literal -2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
(fma.f64 (/.f64 y x) x x) |
(/.f64 y x) |
y |
x |
(-.f64 x y) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)) |
(/.f64 #s(approx (+ x y) (+.f64 y x)) (-.f64 x y)) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ x y) (+.f64 y x)) |
(fma.f64 (/.f64 y x) x x) |
(+.f64 y x) |
(/.f64 y x) |
y |
x |
(-.f64 x y) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) | |
| accuracy | 0.01953125 | (/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)) | |
| accuracy | 7.248179778286258 | (fma.f64 (/.f64 y x) x x) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (*.f64 (/.f64 x y) #s(literal -2 binary64)) | |
| accuracy | 32.28340168585396 | #s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))) |
| 22.0ms | 254× | 0 | valid |
| 1.0ms | 2× | 5 | exit |
Compiled 125 to 31 computations (75.2% saved)
ival-div: 5.0ms (36.6% of total)ival-mult: 3.0ms (21.9% of total)ival-add: 3.0ms (21.9% of total)ival-sub: 2.0ms (14.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) #s(literal -2 binary64)) |
(/.f64 x y) |
(fma.f64 (/.f64 y x) x x) |
(/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
(/.f64 y x) |
(-.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) |
(* -2 (/ x y)) |
(/ x y) |
y |
(+ x y) |
(/ y x) |
(* -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))))) |
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x)))) |
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 x) (* 2 (/ 1 y))))) |
(* -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))))) |
(/ (+ (* -2 x) (* -1 y)) y) |
(+ 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) -2) 1) (* (/ x y) -2) (/ x y) (+ (* (/ y x) x) x) (/ (+ x y) (- x y)) (+ x y) (/ y x) (- x y)) |
| 1.0ms | x | @ | inf | ((/ (+ x y) (- x y)) (- (* (/ x y) -2) 1) (* (/ x y) -2) (/ x y) (+ (* (/ y x) x) x) (/ (+ x y) (- x y)) (+ x y) (/ y x) (- x y)) |
| 1.0ms | y | @ | -inf | ((/ (+ x y) (- x y)) (- (* (/ x y) -2) 1) (* (/ x y) -2) (/ x y) (+ (* (/ y x) x) x) (/ (+ x y) (- x y)) (+ x y) (/ y x) (- x y)) |
| 1.0ms | x | @ | 0 | ((/ (+ x y) (- x y)) (- (* (/ x y) -2) 1) (* (/ x y) -2) (/ x y) (+ (* (/ y x) x) x) (/ (+ x y) (- x y)) (+ x y) (/ y x) (- x y)) |
| 1.0ms | y | @ | inf | ((/ (+ x y) (- x y)) (- (* (/ x y) -2) 1) (* (/ x y) -2) (/ x y) (+ (* (/ y x) x) x) (/ (+ x y) (- x y)) (+ x y) (/ y x) (- x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 427 |
| 1 | 470 | 390 |
| 2 | 1676 | 333 |
| 3 | 7200 | 333 |
| 0 | 8574 | 302 |
| 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 (/ x y)) |
(/ x y) |
y |
(+ x y) |
(/ y x) |
(* -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))))) |
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x)))) |
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 x) (* 2 (/ 1 y))))) |
(* -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))))) |
(/ (+ (* -2 x) (* -1 y)) y) |
(+ 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 x y) #s(literal -2 binary64) #s(literal -1 binary64)) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(-.f64 (*.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) |
(-.f64 (*.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 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -2 binary64)) |
(/ x y) |
(/.f64 x y) |
y |
(+ x y) |
(+.f64 y x) |
(/ y x) |
(/.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)) |
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x)))) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.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 x) (* 2 (/ 1 y))))) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 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 x y) #s(literal -2 binary64) #s(literal -1 binary64)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- (* -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))) |
(-.f64 (*.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 (-.f64 (*.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 (/.f64 #s(literal 2 binary64) y) x)) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(- (* -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) |
(-.f64 (*.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) |
(-.f64 (*.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 (-.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 66 |
| 0 | 24 | 66 |
| 1 | 88 | 66 |
| 2 | 569 | 57 |
| 3 | 7364 | 57 |
| 0 | 8244 | 57 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) #s(literal -2 binary64)) |
(/.f64 x y) |
(fma.f64 (/.f64 y x) x x) |
(/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
(/.f64 y x) |
(-.f64 x y) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)))) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))))) (*.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 4 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
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(/.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.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 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.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 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x)))) (*.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))) (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 y (+.f64 y x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x))) (fma.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (+.f64 y x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (+.f64 y x)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 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 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 x y)) (fma.f64 (neg.f64 y) y (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 y y))) (*.f64 (+.f64 y x) (+.f64 y x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (pow.f64 y #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 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (+.f64 y x))) |
(/.f64 (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 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(neg.f64 (neg.f64 (-.f64 x y))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (fabs.f64 x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (fabs.f64 x) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (neg.f64 x) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 x (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y) (*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y))) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (*.f64 (-.f64 y x) y) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 x (/.f64 x (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(-.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(-.f64 x y) |
(+.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)) (*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y))) |
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
Compiled 13 485 to 1 549 computations (88.5% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 399 | 1 | 400 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 6 | 6 |
| Total | 400 | 8 | 408 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (-.f64 x y)) |
| ✓ | 48.6% | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
| ✓ | 88.2% | (/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)) |
| ✓ | 100.0% | (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
| ▶ | 48.9% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))) |
| ✓ | 52.4% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
| ✓ | 51.1% | #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
| ✓ | 47.8% | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
Compiled 88 to 60 computations (31.8% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 0 | 13 | 27 |
| 1 | 21 | 27 |
| 2 | 33 | 27 |
| 3 | 52 | 27 |
| 4 | 88 | 27 |
| 5 | 127 | 27 |
| 6 | 151 | 27 |
| 7 | 165 | 27 |
| 8 | 174 | 27 |
| 9 | 183 | 27 |
| 0 | 183 | 27 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 32.68178273441203 | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))) |
| 16.0ms | 256× | 0 | valid |
Compiled 50 to 22 computations (56% saved)
ival-div: 3.0ms (32.7% of total)ival-add: 3.0ms (32.7% of total)ival-mult: 2.0ms (21.8% of total)ival-sub: 1.0ms (10.9% 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 x y) #s(literal -2 binary64) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)) |
(/.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) |
(/ 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))))) |
(* -2 (/ x y)) |
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 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 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) |
(- (* -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)))) |
(- (* -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 | @ | -inf | ((/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y)) |
| 0.0ms | x | @ | inf | ((/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y)) |
| 0.0ms | y | @ | -inf | ((/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y)) |
| 0.0ms | x | @ | 0 | ((/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y)) |
| 0.0ms | y | @ | 0 | ((/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 354 |
| 1 | 404 | 318 |
| 2 | 1454 | 270 |
| 3 | 6821 | 270 |
| 0 | 8312 | 238 |
| 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) |
(/ 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))))) |
(* -2 (/ x y)) |
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 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 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) |
(- (* -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)))) |
(- (* -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) |
(-.f64 (*.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) |
(-.f64 (*.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)) |
(/ 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)) |
(* -2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -2 binary64)) |
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x)))) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)) |
(+ 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 x) (* 2 (/ 1 y))))) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #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 x y) #s(literal -2 binary64) #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))) |
(-.f64 (*.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 (*.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 (/ (- 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) |
(-.f64 (*.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) |
(-.f64 (*.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 | 57 | 23 |
| 2 | 393 | 23 |
| 3 | 4925 | 23 |
| 0 | 8938 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)) |
(/.f64 x y) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 x y)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64))) #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 x y) #s(literal 9 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 64 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)))) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (exp.f64 (log.f64 #s(literal -2 binary64))) (exp.f64 (log.f64 (/.f64 x y))) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal -2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 x y))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3/2 binary64)) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (neg.f64 y)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64)) |
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)) |
(fma.f64 x (exp.f64 (log.f64 (/.f64 #s(literal -2 binary64) y))) #s(literal -1 binary64)) |
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))) |
(-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))) |
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
Compiled 2 275 to 289 computations (87.3% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 68 | 0 | 68 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 68 | 8 | 76 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (-.f64 x y)) |
| ✓ | 48.6% | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
| ✓ | 88.2% | (/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)) |
| ✓ | 100.0% | (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
| ✓ | 48.9% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))) |
| ✓ | 52.4% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
| ✓ | 51.1% | #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
| ✓ | 47.8% | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
Compiled 206 to 97 computations (52.9% 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) x) y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))) |
(/.f64 (+.f64 x y) (-.f64 x y)) |
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
(/.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)) |
| Outputs |
|---|
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
3 calls:
| 7.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.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) x) y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))) |
(/.f64 (+.f64 x y) (-.f64 x y)) |
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 x y)) |
3 calls:
| 3.0ms | 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) x) y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #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:
| 4.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 (+.f64 x y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.8% | 3 | x |
| 77.3% | 3 | y |
| 98.4% | 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) x) y #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
1 calls:
| 1.0ms | (/.f64 (+.f64 x y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 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 |
|---|---|---|
| 97.4% | 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 |
|---|---|---|
| 97.3% | 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:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (+.f64 x y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.8% | 1 | x |
| 47.8% | 1 | y |
| 47.8% | 1 | (/.f64 (+.f64 x y) (-.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.999990544918181 | 0.9973803040264989 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.999990544918181 | 0.9973803040264989 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.999990544918181 | 0.9973803040264989 |
Compiled 10 to 10 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | -0.999990544918181 | 0.9973803040264989 |
| 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 | 34 | 156 |
| 1 | 45 | 156 |
| 2 | 47 | 156 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
(/.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 x y) #s(literal -2 binary64) #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)) (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #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)) (/.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 -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
(/.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 x y) #s(literal -2 binary64) #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)) (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #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)) (/.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 -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 | 402 |
| 1 | 440 | 364 |
| 2 | 1524 | 315 |
| 3 | 6695 | 315 |
| 0 | 8125 | 287 |
| 0 | 149 | 427 |
| 1 | 470 | 390 |
| 2 | 1676 | 333 |
| 3 | 7200 | 333 |
| 0 | 8574 | 302 |
| 0 | 356 | 1162 |
| 1 | 1153 | 1045 |
| 2 | 3785 | 975 |
| 0 | 8371 | 907 |
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 32 | 13 |
| 2 | 226 | 13 |
| 0 | 2983 | 13 |
| 1× | done |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 216 to 92 computations (57.4% saved)
Compiled 352 to 94 computations (73.3% saved)
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