
Time bar (total: 4.0s)
| 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 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 6 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 7 |
| 82% | 82% | 18% | 0.1% | 0% | 0% | 0% | 8 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 9 |
| 90.8% | 90.7% | 9.2% | 0.1% | 0% | 0% | 0% | 10 |
| 93.8% | 93.8% | 6.1% | 0.1% | 0% | 0% | 0% | 11 |
| 95.4% | 95.3% | 4.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 7 to 6 computations (14.3% saved)
| 328.0ms | 8 256× | 0 | valid |
ival-div: 68.0ms (51.2% of total)ival-add: 56.0ms (42.2% of total)ival-true: 6.0ms (4.5% of total)ival-assert: 3.0ms (2.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 x (+.f64 y x)) |
| 0 | 0 | - | 0 | - | (+.f64 y x) |
| 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 |
| 20.0ms | 512× | 0 | valid |
Compiled 29 to 16 computations (44.8% saved)
ival-div: 4.0ms (55.4% of total)ival-add: 3.0ms (41.5% 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 | 12 | 31 |
| 1 | 35 | 25 |
| 2 | 72 | 25 |
| 3 | 149 | 25 |
| 4 | 334 | 25 |
| 5 | 515 | 25 |
| 6 | 639 | 25 |
| 7 | 659 | 25 |
| 8 | 686 | 25 |
| 9 | 698 | 25 |
| 0 | 4 | 5 |
| 0 | 6 | 5 |
| 1 | 7 | 5 |
| 0 | 7 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 y x)) |
| Outputs |
|---|
(/.f64 x (+.f64 y x)) |
Compiled 5 to 4 computations (20% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 x (+.f64 y x)) |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 x (+.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 0 | 6 | 10 |
| 1 | 7 | 10 |
| 0 | 7 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
| Outputs |
|---|
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.0234375 | (/.f64 x (+.f64 y x)) |
| 9.0ms | 256× | 0 | valid |
Compiled 12 to 6 computations (50% saved)
ival-div: 2.0ms (55.8% of total)ival-add: 1.0ms (27.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
| Outputs |
|---|
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ 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) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (+ 1 (/ x y))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((/ x (+ y x)) (+ y x)) |
| 1.0ms | x | @ | inf | ((/ x (+ y x)) (+ y x)) |
| 0.0ms | x | @ | -inf | ((/ x (+ y x)) (+ y x)) |
| 0.0ms | x | @ | 0 | ((/ x (+ y x)) (+ y x)) |
| 0.0ms | y | @ | -inf | ((/ x (+ y x)) (+ y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 306 |
| 1 | 369 | 287 |
| 2 | 946 | 257 |
| 3 | 3744 | 255 |
| 0 | 8369 | 242 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ 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) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (+ 1 (/ x y))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) x (/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
y |
(+ x y) |
(+.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 0 | 6 | 8 |
| 1 | 28 | 8 |
| 2 | 189 | 8 |
| 3 | 1850 | 8 |
| 0 | 8197 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y x))) |
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 (neg.f64 x) (fma.f64 (neg.f64 x) x (*.f64 y y))) (fma.f64 #s(literal -1 binary64) y x)) |
(*.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))) (-.f64 y x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 x y) x (*.f64 y y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (+.f64 y x))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x)) |
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (-.f64 y x) x)) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) |
(*.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) (*.f64 (-.f64 y x) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) |
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (neg.f64 x) y))) |
(*.f64 (-.f64 y x) (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y x))) |
(*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) (pow.f64 (/.f64 (-.f64 y x) (-.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64)) |
(*.f64 x (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 y x) x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 (+.f64 y x) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 (neg.f64 x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (/.f64 #s(literal 0 binary64) (+.f64 y x)) (fma.f64 (/.f64 x (-.f64 (neg.f64 x) y)) (/.f64 x (-.f64 (neg.f64 x) y)) (*.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (/.f64 x (-.f64 (neg.f64 x) y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (-.f64 (neg.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (-.f64 (neg.f64 x) y)) (/.f64 x (-.f64 (neg.f64 x) y)) (*.f64 #s(literal 0 binary64) (/.f64 x (-.f64 (neg.f64 x) y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))) (*.f64 y (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))) (-.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))) (*.f64 (neg.f64 x) (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))))) (*.f64 (*.f64 y (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))) (*.f64 (neg.f64 x) (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x y) x) (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y y) (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 x y) x) (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 x y) x) (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 y y) (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (*.f64 (*.f64 (-.f64 x y) x) (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.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 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 #s(literal 1 binary64) (-.f64 x y))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 y x) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (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 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) (-.f64 y x)) (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) y x)))) |
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) (-.f64 y x)) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y x))) |
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) (-.f64 y x)) (fma.f64 #s(literal -1 binary64) y x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y x))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (fma.f64 #s(literal -1 binary64) y x))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 y x)))) (-.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))))) (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (neg.f64 (*.f64 (-.f64 (neg.f64 x) y) (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y x)) (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.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 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y))) (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y x) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (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 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y x)) (*.f64 (-.f64 (neg.f64 x) y) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) y x)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y))) |
(/.f64 (-.f64 (neg.f64 x) y) #s(literal -1 binary64)) |
(/.f64 (+.f64 y x) #s(literal 1 binary64)) |
(neg.f64 (-.f64 (neg.f64 x) y)) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (+.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x (*.f64 y y))) (+.f64 y x) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (neg.f64 y))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) y) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 (neg.f64 y))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) y) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 (neg.f64 y))) |
(fma.f64 #s(literal 1 binary64) x y) |
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x))))) |
(fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x))))) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 (neg.f64 y))) |
(fma.f64 x #s(literal 1 binary64) y) |
(-.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 y x))))) (/.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 y x)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 y x) (*.f64 x x)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 y x) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 y x) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (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 (pow.f64 x #s(literal 6 binary64)) (*.f64 (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 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y x))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) y x)) (-.f64 (neg.f64 x) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))) (-.f64 (neg.f64 x) y)) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (neg.f64 (fma.f64 #s(literal -1 binary64) y x))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (neg.f64 (fma.f64 #s(literal -1 binary64) y x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) y x))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) y x)))) |
(-.f64 (/.f64 (*.f64 y y) (neg.f64 (fma.f64 #s(literal -1 binary64) y x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 #s(literal -1 binary64) y x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (-.f64 y x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (-.f64 y x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 y x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 y x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.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 (pow.f64 x #s(literal 6 binary64)) (-.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 (fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (fma.f64 #s(literal -1 binary64) y x)) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) y x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x)) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x (neg.f64 y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y)) |
(-.f64 x (/.f64 y #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (neg.f64 y)) x) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x))))) |
(+.f64 y x) |
(+.f64 x (neg.f64 (neg.f64 y))) |
(+.f64 x y) |
Compiled 7 304 to 1 013 computations (86.1% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 296 | 7 | 303 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 296 | 8 | 304 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) | |
| 64.3% | (/.f64 (*.f64 (-.f64 y x) x) (fma.f64 (neg.f64 x) x (*.f64 y y))) | |
| ▶ | 100.0% | (/.f64 x (fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))) |
| ✓ | 100.0% | (/.f64 x (+.f64 y x)) |
| ▶ | 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) |
| ▶ | 51.1% | #s(approx (/ x (+ y x)) (/.f64 x y)) |
| ▶ | 49.8% | #s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
| ▶ | 50.3% | #s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
Compiled 155 to 108 computations (30.3% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (+.f64 y x)) | |
| cost-diff | 3 | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 y x)) | |
| cost-diff | 0 | #s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ x (+ y x)) (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ x (+ y x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 y (-.f64 y x)) | |
| cost-diff | 0 | (/.f64 x (fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))) | |
| cost-diff | 1 | (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))) | |
| cost-diff | 11 | (fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x))))) |
Useful iterations: 9 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 127 |
| 0 | 38 | 148 |
| 1 | 64 | 148 |
| 2 | 112 | 148 |
| 3 | 190 | 143 |
| 4 | 483 | 143 |
| 5 | 1047 | 143 |
| 6 | 1425 | 139 |
| 7 | 1544 | 131 |
| 8 | 1823 | 131 |
| 9 | 2607 | 99 |
| 10 | 3296 | 99 |
| 11 | 4044 | 99 |
| 12 | 4738 | 99 |
| 13 | 5065 | 99 |
| 14 | 5095 | 99 |
| 15 | 6989 | 99 |
| 16 | 7815 | 99 |
| 0 | 8319 | 99 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))) |
x |
(fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x))))) |
y |
(/.f64 y (-.f64 y x)) |
(-.f64 y x) |
(neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))) |
(*.f64 x (/.f64 x (-.f64 y x))) |
(/.f64 x (-.f64 y x)) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
#s(literal -1 binary64) |
(+.f64 y x) |
y |
x |
(neg.f64 x) |
| Outputs |
|---|
(/.f64 x (fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))) |
(/.f64 x (+.f64 y x)) |
x |
(fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x))))) |
(+.f64 y x) |
y |
(/.f64 y (-.f64 y x)) |
(-.f64 y x) |
(neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))) |
(/.f64 (*.f64 x x) (-.f64 x y)) |
(*.f64 x (/.f64 x (-.f64 y x))) |
(*.f64 (/.f64 x (-.f64 y x)) x) |
(/.f64 x (-.f64 y x)) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) |
(/.f64 x (+.f64 y x)) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
#s(literal -1 binary64) |
(+.f64 y x) |
y |
x |
(neg.f64 x) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.03515625 | (/.f64 #s(literal -1 binary64) (+.f64 y x)) | |
| accuracy | 0.18359375 | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (/.f64 y x)) | |
| accuracy | 32.14387336692997 | #s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 31.295505106051703 | #s(approx (/ x (+ y x)) (/.f64 x y)) | |
| accuracy | 31.835618515059018 | #s(approx (/ x (+ y x)) #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x))))) | |
| accuracy | 0.01953125 | (/.f64 y (-.f64 y x)) | |
| accuracy | 0.0234375 | (/.f64 x (fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))) | |
| accuracy | 0.0546875 | (*.f64 x (/.f64 x (-.f64 y x))) |
| 59.0ms | 256× | 0 | valid |
Compiled 119 to 22 computations (81.5% saved)
ival-div: 11.0ms (34.3% of total)ival-sub: 7.0ms (21.8% of total)ival-neg: 6.0ms (18.7% of total)ival-mult: 5.0ms (15.6% of total)ival-add: 2.0ms (6.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x))))) |
(neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))) |
(/.f64 x (fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))) |
(/.f64 y (-.f64 y x)) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 y x) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
(+.f64 y x) |
(neg.f64 x) |
(*.f64 x (/.f64 x (-.f64 y x))) |
| Outputs |
|---|
y |
(+ x y) |
(* -1 (/ (pow x 2) y)) |
(* (pow x 2) (- (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* (pow x 2) (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ 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))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (* x (+ (/ 1 y) (/ x (pow y 2))))) |
(+ 1 (* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)))) |
(* -1 (/ y x)) |
(/ (- x y) x) |
(/ y x) |
(/ -1 y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(* -1 x) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 y) (/ x (pow y 2)))) |
(* (pow x 2) (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))) |
(* (pow x 2) (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(* x (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -2 (pow y 2)) (pow y 2)))) (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2))))) (pow x 3)))) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow x 2)))) (/ (pow y 2) x)) x) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow x 3)))) (+ (/ (pow y 2) x) (/ (pow y 3) (pow x 2)))) x) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(/ -1 x) |
(/ (- (/ y x) 1) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x) |
(* x (- (* -1 (/ y x)) 1)) |
(* x (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x)))) |
(* x (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow y 2) x))) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (/ (* y (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (* -1 y)) x))) |
(* -1 (/ (+ y (/ (pow y 2) x)) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
(* -1 (* x (+ 1 (/ y x)))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))))) |
(- y (* -1 x)) |
(- (* y (+ 1 (/ y x))) (* -1 x)) |
(- (* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))) (* -1 x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) |
(* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) |
(* y (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(- (/ y (pow x 2)) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* -1 x) (* -1 y)) |
(+ (* -1 x) (* y (- (* -1 (/ y x)) 1))) |
(+ (* -1 x) (* y (- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1))) |
(* y (+ 1 (/ x y))) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y)))) |
(/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y) |
(/ (- (+ (* -1 (/ (pow x 3) y)) (* -1 (/ (pow x 4) (pow y 2)))) (pow x 2)) y) |
(/ (- (+ (* -1 (/ (pow x 3) y)) (+ (* -1 (/ (pow x 4) (pow y 2))) (* -1 (/ (pow x 5) (pow y 3))))) (pow x 2)) y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (pow y 3)))) (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)))) y) |
(- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) |
(- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (- (/ 1 y) (/ 1 x))) |
(/ (- (/ x y) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y) |
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) |
(/ (+ (/ (pow x 3) y) (pow x 2)) y) |
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (* -1 (/ (pow x 3) y))) y) |
(/ (- (+ (/ (pow x 5) (pow y 3)) (pow x 2)) (+ (* -1 (/ (pow x 3) y)) (* -1 (/ (pow x 4) (pow y 2))))) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (* -1 (pow x 4))) y)) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (/ (pow x 4) y)) y)) (* -1 (pow x 2))) y))) y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (/ 1 x) (/ 1 y)))) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y)) |
(* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 5) y)) (* -1 (pow x 4))) y)) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | ((+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (neg (* x (/ x (- y x)))) (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (/ y (- y x)) (/ x (+ y x)) (/ x (+ y x)) (/ x y) (/ x (+ y x)) (- 1 (/ y x)) (/ y x) (* (/ -1 (+ y x)) (neg x)) (/ -1 (+ y x)) (+ y x) (neg x) (* x (/ x (- y x)))) |
| 3.0ms | y | @ | inf | ((+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (neg (* x (/ x (- y x)))) (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (/ y (- y x)) (/ x (+ y x)) (/ x (+ y x)) (/ x y) (/ x (+ y x)) (- 1 (/ y x)) (/ y x) (* (/ -1 (+ y x)) (neg x)) (/ -1 (+ y x)) (+ y x) (neg x) (* x (/ x (- y x)))) |
| 3.0ms | x | @ | -inf | ((+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (neg (* x (/ x (- y x)))) (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (/ y (- y x)) (/ x (+ y x)) (/ x (+ y x)) (/ x y) (/ x (+ y x)) (- 1 (/ y x)) (/ y x) (* (/ -1 (+ y x)) (neg x)) (/ -1 (+ y x)) (+ y x) (neg x) (* x (/ x (- y x)))) |
| 3.0ms | x | @ | 0 | ((+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (neg (* x (/ x (- y x)))) (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (/ y (- y x)) (/ x (+ y x)) (/ x (+ y x)) (/ x y) (/ x (+ y x)) (- 1 (/ y x)) (/ y x) (* (/ -1 (+ y x)) (neg x)) (/ -1 (+ y x)) (+ y x) (neg x) (* x (/ x (- y x)))) |
| 3.0ms | x | @ | inf | ((+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (neg (* x (/ x (- y x)))) (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (/ y (- y x)) (/ x (+ y x)) (/ x (+ y x)) (/ x y) (/ x (+ y x)) (- 1 (/ y x)) (/ y x) (* (/ -1 (+ y x)) (neg x)) (/ -1 (+ y x)) (+ y x) (neg x) (* x (/ x (- y x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 490 | 1895 |
| 1 | 1591 | 1654 |
| 2 | 4803 | 1504 |
| 0 | 8277 | 1418 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ x y) |
(* -1 (/ (pow x 2) y)) |
(* (pow x 2) (- (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* (pow x 2) (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ 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))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (* x (+ (/ 1 y) (/ x (pow y 2))))) |
(+ 1 (* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)))) |
(* -1 (/ y x)) |
(/ (- x y) x) |
(/ y x) |
(/ -1 y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(* -1 x) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 y) (/ x (pow y 2)))) |
(* (pow x 2) (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))) |
(* (pow x 2) (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(* x (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -2 (pow y 2)) (pow y 2)))) (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2))))) (pow x 3)))) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow x 2)))) (/ (pow y 2) x)) x) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow x 3)))) (+ (/ (pow y 2) x) (/ (pow y 3) (pow x 2)))) x) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(/ -1 x) |
(/ (- (/ y x) 1) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x) |
(* x (- (* -1 (/ y x)) 1)) |
(* x (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x)))) |
(* x (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow y 2) x))) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (/ (* y (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (* -1 y)) x))) |
(* -1 (/ (+ y (/ (pow y 2) x)) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
(* -1 (* x (+ 1 (/ y x)))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))))) |
(- y (* -1 x)) |
(- (* y (+ 1 (/ y x))) (* -1 x)) |
(- (* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))) (* -1 x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) |
(* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) |
(* y (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(- (/ y (pow x 2)) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* -1 x) (* -1 y)) |
(+ (* -1 x) (* y (- (* -1 (/ y x)) 1))) |
(+ (* -1 x) (* y (- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1))) |
(* y (+ 1 (/ x y))) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y)))) |
(/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y) |
(/ (- (+ (* -1 (/ (pow x 3) y)) (* -1 (/ (pow x 4) (pow y 2)))) (pow x 2)) y) |
(/ (- (+ (* -1 (/ (pow x 3) y)) (+ (* -1 (/ (pow x 4) (pow y 2))) (* -1 (/ (pow x 5) (pow y 3))))) (pow x 2)) y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (pow y 3)))) (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)))) y) |
(- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) |
(- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (- (/ 1 y) (/ 1 x))) |
(/ (- (/ x y) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y) |
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) |
(/ (+ (/ (pow x 3) y) (pow x 2)) y) |
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (* -1 (/ (pow x 3) y))) y) |
(/ (- (+ (/ (pow x 5) (pow y 3)) (pow x 2)) (+ (* -1 (/ (pow x 3) y)) (* -1 (/ (pow x 4) (pow y 2))))) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (* -1 (pow x 4))) y)) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (/ (pow x 4) y)) y)) (* -1 (pow x 2))) y))) y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (/ 1 x) (/ 1 y)))) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y)) |
(* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 5) y)) (* -1 (pow x 4))) y)) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
| Outputs |
|---|
y |
(+ x y) |
(+.f64 x y) |
(* -1 (/ (pow x 2) y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(* (pow x 2) (- (* -1 (/ x (pow y 2))) (/ 1 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 (/.f64 x y) x x)) y)) |
(* (pow x 2) (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal -1 binary64) y)) (*.f64 x x)) |
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y)) (*.f64 x x)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(+.f64 (fma.f64 (neg.f64 x) (/.f64 x (*.f64 y y)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 x y)) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x y)) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(+ 1 (* x (+ (/ 1 y) (/ x (pow y 2))))) |
(+.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)))) |
(+.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(/ (- x y) x) |
(/.f64 (-.f64 x y) x) |
(/ y x) |
(/.f64 y x) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) |
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 (*.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) x (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(* -1 x) |
(neg.f64 x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* (pow x 2) (+ (/ 1 y) (/ x (pow y 2)))) |
(/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) |
(* (pow x 2) (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) x) |
(* (pow x 2) (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 x (fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) x (/.f64 x (*.f64 y y))) x (/.f64 x y))) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) y (/.f64 (-.f64 y (*.f64 (/.f64 y x) y)) x)) x x) |
(* x (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) x x) |
(* x (+ 1 (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))) |
(fma.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x)) x x) |
(+ 1 (* -1 (/ y x))) |
(/.f64 (-.f64 x y) x) |
(- (+ 1 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) |
(fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -2 (pow y 2)) (pow y 2)))) (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2))))) (pow x 3)))) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 (/.f64 y x) y) (/.f64 (fma.f64 (/.f64 y x) y y) x))) |
(/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x) |
(/.f64 (neg.f64 (fma.f64 (/.f64 y x) y y)) x) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow x 2)))) (/ (pow y 2) x)) x) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) y y)) x) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow x 3)))) (+ (/ (pow y 2) x) (/ (pow y 3) (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) y y)) x) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (/ y x) 1) x) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) (neg.f64 x)) |
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x) |
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64))) x) |
(* x (- (* -1 (/ y x)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x) |
(* x (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x)) x) |
(* x (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) x x) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) y y) x) x x) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow y 2) x))) (* -1 y)) x))) |
(fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (/ (* y (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(* -1 (/ (+ y (/ (pow y 2) x)) x)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 y x) y y)) x) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) y y)) x) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x) (*.f64 y y)) x) y) (neg.f64 x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 x))) x)) x) #s(literal -1 binary64)) x) |
(* -1 (* x (+ 1 (/ y x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) y y) x)) x) |
(- y (* -1 x)) |
(+.f64 x y) |
(- (* y (+ 1 (/ y x))) (* -1 x)) |
(fma.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) y x) |
(- (* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))) (* -1 x)) |
(fma.f64 (+.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) y x) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) (neg.f64 x)) y #s(literal 1 binary64)) |
(* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 y x) x)) y) |
(* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal -1 binary64) x)) y) |
(* y (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y (/.f64 #s(literal -1 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x)) y) |
(- (/ y (pow x 2)) (/ 1 x)) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) (neg.f64 x)) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (*.f64 (-.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) y (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
(+ (* -1 x) (* -1 y)) |
(-.f64 (neg.f64 y) x) |
(+ (* -1 x) (* y (- (* -1 (/ y x)) 1))) |
(fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) y (neg.f64 x)) |
(+ (* -1 x) (* y (- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 y x) x)) y #s(literal -1 binary64)) y (neg.f64 x)) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y)))) |
(fma.f64 (/.f64 x y) y y) |
(/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y) |
(/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) (neg.f64 y)) |
(/ (- (+ (* -1 (/ (pow x 3) y)) (* -1 (/ (pow x 4) (pow y 2)))) (pow x 2)) y) |
(/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 y)) |
(/ (- (+ (* -1 (/ (pow x 3) y)) (+ (* -1 (/ (pow x 4) (pow y 2))) (* -1 (/ (pow x 5) (pow y 3))))) (pow x 2)) y) |
(/.f64 (neg.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) y) (pow.f64 x #s(literal 4 binary64))) y) (pow.f64 x #s(literal 3 binary64))) y))) y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 2)))) (/ (pow x 2) y)) y) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (pow y 3)))) (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)))) y) |
(/.f64 (-.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 y))) y)) y) |
(- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) |
(+.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) |
(+.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (-.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 y))) y)) y) |
(* y (- (/ 1 y) (/ 1 x))) |
(/.f64 (-.f64 x y) x) |
(/ (- (/ x y) 1) y) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) |
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) |
(/.f64 (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y) |
(/ (+ (/ (pow x 3) y) (pow x 2)) y) |
(/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) |
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (* -1 (/ (pow x 3) y))) y) |
(/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) |
(/ (- (+ (/ (pow x 5) (pow y 3)) (pow x 2)) (+ (* -1 (/ (pow x 3) y)) (* -1 (/ (pow x 4) (pow y 2))))) y) |
(/.f64 (fma.f64 x x (+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) |
(/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
(/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (* -1 (pow x 4))) y)) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
(/.f64 (neg.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) y) (pow.f64 x #s(literal 4 binary64))) y) (pow.f64 x #s(literal 3 binary64))) y))) y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (/ (pow x 4) y)) y)) (* -1 (pow x 2))) y))) y)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) |
(+.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) |
(+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) x x) y) #s(literal 1 binary64)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y) |
(* -1 (* y (- (/ 1 x) (/ 1 y)))) |
(/.f64 (-.f64 x y) x) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y) #s(literal -1 binary64)) y) |
(* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) |
(/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) |
(* -1 (/ (+ (* -1 (/ (+ (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
(/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 5) y)) (* -1 (pow x 4))) y)) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
(/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) y) (pow.f64 x #s(literal 4 binary64))) y) (pow.f64 x #s(literal 3 binary64))) y)) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 108 |
| 0 | 38 | 129 |
| 1 | 139 | 81 |
| 2 | 1000 | 81 |
| 0 | 8788 | 81 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x))))) |
(neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))) |
(/.f64 x (fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))) |
(/.f64 y (-.f64 y x)) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 y x) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
(+.f64 y x) |
(neg.f64 x) |
(*.f64 x (/.f64 x (-.f64 y x))) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 x y) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x y) (*.f64 y y))) |
(*.f64 (fma.f64 x x (neg.f64 (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)) (-.f64 y x)))) |
(*.f64 (neg.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y x)) x) (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)) (-.f64 y x)) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal -1 binary64) (-.f64 y x))) |
(*.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x))) (pow.f64 (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y (-.f64 y x)) y) (*.f64 (/.f64 x (-.f64 y x)) x)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y x)) x) (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)) (-.f64 y x)) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (-.f64 y x))) |
(*.f64 (+.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) x)) |
(*.f64 #s(literal 1 binary64) (+.f64 x y)) |
(pow.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 y y (fma.f64 x x (*.f64 y (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x))) (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (neg.f64 y) x) (-.f64 (neg.f64 y) x) (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) x))))) |
(/.f64 (neg.f64 (fma.f64 x x (neg.f64 (*.f64 y y)))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)) (-.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y x)) x) (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)) (-.f64 y x)) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))))) |
(/.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 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) (-.f64 y x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x)))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x))) (*.f64 (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x)) (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x)) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 #s(literal -1 binary64) y x)) (*.f64 (fma.f64 #s(literal -1 binary64) y x) (neg.f64 (*.f64 x x)))) (*.f64 (fma.f64 #s(literal -1 binary64) y x) (fma.f64 #s(literal -1 binary64) y x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 #s(literal -1 binary64) y x)) (*.f64 (fma.f64 #s(literal -1 binary64) y x) (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 #s(literal -1 binary64) y x) (fma.f64 #s(literal -1 binary64) y x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 #s(literal -1 binary64) y x)) (*.f64 (fma.f64 #s(literal -1 binary64) y x) (*.f64 x (neg.f64 x)))) (*.f64 (fma.f64 #s(literal -1 binary64) y x) (fma.f64 #s(literal -1 binary64) y x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (-.f64 y x)) (*.f64 (fma.f64 #s(literal -1 binary64) y x) (*.f64 x x))) (*.f64 (fma.f64 #s(literal -1 binary64) y x) (-.f64 y x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (fma.f64 #s(literal -1 binary64) y x) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) y x) (/.f64 (-.f64 y x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 (-.f64 y x) x)) (*.f64 (fma.f64 #s(literal -1 binary64) y x) x)) (*.f64 (fma.f64 #s(literal -1 binary64) y x) (/.f64 (-.f64 y x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal -1 binary64) y x)) (*.f64 (fma.f64 #s(literal -1 binary64) y x) (neg.f64 (*.f64 x x)))) (*.f64 (fma.f64 #s(literal -1 binary64) y x) (fma.f64 #s(literal -1 binary64) y x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal -1 binary64) y x)) (*.f64 (fma.f64 #s(literal -1 binary64) y x) (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 #s(literal -1 binary64) y x) (fma.f64 #s(literal -1 binary64) y x))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (-.f64 y x)) (*.f64 (fma.f64 #s(literal -1 binary64) y x) (*.f64 x x))) (*.f64 (fma.f64 #s(literal -1 binary64) y x) (-.f64 y x))) |
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(fma.f64 (neg.f64 x) (/.f64 x (-.f64 y x)) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) y) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (-.f64 y x)) x) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 y x)) y) (*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y x)) x)) |
(fma.f64 #s(literal 1 binary64) x y) |
(fma.f64 #s(literal 1 binary64) y x) |
(fma.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal -1 binary64) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 (/.f64 x (-.f64 y x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 (/.f64 x (-.f64 y x)) (neg.f64 x) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 (/.f64 y (-.f64 y x)) y (*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y x)) x)) |
(fma.f64 x (/.f64 x (fma.f64 #s(literal -1 binary64) y x)) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 x #s(literal 1 binary64) y) |
(fma.f64 y #s(literal 1 binary64) x) |
(fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y x)) x)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)) (-.f64 y x))) (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)) (-.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y x)) x) (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)) (-.f64 y x)) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y x)) x) (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)) (-.f64 y x)) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 y x) (*.f64 x x)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) x)) |
(-.f64 (*.f64 (/.f64 y (-.f64 y x)) y) (*.f64 (/.f64 x (-.f64 y x)) x)) |
(-.f64 y (neg.f64 x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 y x))))) |
(+.f64 #s(literal 0 binary64) (+.f64 x y)) |
(+.f64 (*.f64 (/.f64 y (-.f64 y x)) y) (*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y x)) x)) |
(+.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y x)) x) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(+.f64 x y) |
(+.f64 y x) |
(*.f64 (neg.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 x x)) x) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(*.f64 (/.f64 x (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (fma.f64 #s(literal -1 binary64) y x))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 x (+.f64 x y))) |
(*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) (+.f64 x y)) |
(*.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x y) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 y x))) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (-.f64 y x))) |
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) (-.f64 y x))) |
(*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 x x) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 x (fma.f64 #s(literal -1 binary64) y x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y x)) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 y x)) x)) |
(*.f64 (/.f64 x (-.f64 y x)) x) |
(*.f64 x (/.f64 x (-.f64 y x))) |
(pow.f64 (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (-.f64 y x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (-.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (-.f64 y x)) |
(/.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64))) (*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y x)) x)) |
(/.f64 (neg.f64 (*.f64 x x)) (fma.f64 #s(literal -1 binary64) y x)) |
(/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1 binary64) y x)) |
(/.f64 (*.f64 x (neg.f64 x)) (fma.f64 #s(literal -1 binary64) y x)) |
(/.f64 (*.f64 x x) (-.f64 y x)) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (-.f64 y x) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y x) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) y x) (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) y x) (*.f64 x (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y x) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 x x))) |
(/.f64 x (/.f64 (-.f64 y x) x)) |
(neg.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y x)) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y x)) x)) |
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (-.f64 y x)) x)) |
Compiled 14 525 to 2 123 computations (85.4% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 590 | 3 | 593 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 592 | 9 | 601 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 64.3% | (/.f64 (*.f64 (-.f64 y x) x) (fma.f64 (neg.f64 x) x (*.f64 y y))) |
| ✓ | 100.0% | (/.f64 x (+.f64 y x)) |
| ▶ | 99.1% | (/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (fma.f64 (/.f64 y x) x x))) |
| ▶ | 65.7% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))) |
| ✓ | 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) |
| ▶ | 50.5% | #s(approx (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) |
| ✓ | 51.1% | #s(approx (/ x (+ y x)) (/.f64 x y)) |
| ✓ | 49.8% | #s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
| ✓ | 50.3% | #s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
Compiled 120 to 79 computations (34.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (neg.f64 x) x (*.f64 y y)) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (*.f64 (-.f64 y x) x) | |
| cost-diff | 8 | (/.f64 (*.f64 (-.f64 y x) x) (fma.f64 (neg.f64 x) x (*.f64 y y))) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (fma.f64 (/.f64 y x) x x)) | |
| cost-diff | 0 | (/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (fma.f64 (/.f64 y x) x x))) | |
| cost-diff | 3 | (fma.f64 (/.f64 y x) x x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (+.f64 y x)) | |
| cost-diff | 3 | (/.f64 x (neg.f64 (*.f64 x x))) | |
| cost-diff | 3 | (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) | |
| cost-diff | 3 | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 x y)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) | |
| cost-diff | 0 | #s(approx (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 196 |
| 0 | 56 | 197 |
| 1 | 104 | 193 |
| 2 | 199 | 166 |
| 3 | 587 | 158 |
| 4 | 1825 | 158 |
| 5 | 3995 | 158 |
| 6 | 6468 | 158 |
| 7 | 7932 | 158 |
| 0 | 8175 | 155 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 x y) |
x |
y |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
#s(literal -1 binary64) |
(+.f64 y x) |
y |
x |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) |
#s(literal 1 binary64) |
(/.f64 x (neg.f64 (*.f64 x x))) |
(neg.f64 (*.f64 x x)) |
(*.f64 x x) |
(/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (fma.f64 (/.f64 y x) x x))) |
x |
#s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (fma.f64 (/.f64 y x) x x)) |
(fma.f64 (/.f64 y x) x x) |
(/.f64 y x) |
y |
(/.f64 (*.f64 (-.f64 y x) x) (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(*.f64 (-.f64 y x) x) |
(-.f64 y x) |
y |
x |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(neg.f64 x) |
(*.f64 y y) |
| Outputs |
|---|
#s(approx (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 x y) |
x |
y |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))) |
(/.f64 x (+.f64 y x)) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
#s(literal -1 binary64) |
(+.f64 y x) |
y |
x |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) |
(neg.f64 x) |
#s(literal 1 binary64) |
(/.f64 x (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) x) |
(neg.f64 (*.f64 x x)) |
(*.f64 (neg.f64 x) x) |
(*.f64 x x) |
(/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (fma.f64 (/.f64 y x) x x))) |
(/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 y x))) |
x |
#s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 y x)) |
(fma.f64 (/.f64 y x) x x) |
(+.f64 y x) |
(/.f64 y x) |
y |
(/.f64 (*.f64 (-.f64 y x) x) (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(/.f64 x (+.f64 y x)) |
(*.f64 (-.f64 y x) x) |
(-.f64 y x) |
y |
x |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(neg.f64 x) |
(*.f64 y y) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 y x) x) | |
| accuracy | 1.7538869832389217 | (fma.f64 (neg.f64 x) x (*.f64 y y)) | |
| accuracy | 22.383321133397395 | (/.f64 (*.f64 (-.f64 y x) x) (fma.f64 (neg.f64 x) x (*.f64 y y))) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.0 | #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (fma.f64 (/.f64 y x) x x)) | |
| accuracy | 0.0234375 | (/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (fma.f64 (/.f64 y x) x x))) | |
| accuracy | 9.144394110474428 | (fma.f64 (/.f64 y x) x x) | |
| accuracy | 0.03515625 | (/.f64 #s(literal -1 binary64) (+.f64 y x)) | |
| accuracy | 0.171875 | (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) | |
| accuracy | 0.18359375 | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))) | |
| accuracy | 27.834044953063596 | (/.f64 x (neg.f64 (*.f64 x x))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (/.f64 x y)) | |
| accuracy | 0.06640625 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) | |
| accuracy | 2.012528154926953 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) | |
| accuracy | 31.58181435185983 | #s(approx (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) |
| 61.0ms | 256× | 0 | valid |
Compiled 177 to 34 computations (80.8% saved)
ival-div: 20.0ms (43.4% of total)ival-mult: 13.0ms (28.2% of total)ival-sub: 5.0ms (10.9% of total)ival-add: 4.0ms (8.7% of total)ival-neg: 3.0ms (6.5% 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 (/ y (- y x))) (neg (* x (/ x (- y x)))))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) |
(/.f64 x (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
(fma.f64 (/.f64 y x) x x) |
(/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (fma.f64 (/.f64 y x) x x))) |
#s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (fma.f64 (/.f64 y x) x x)) |
(/.f64 y x) |
(/.f64 (*.f64 (-.f64 y x) x) (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(*.f64 (-.f64 y x) x) |
(-.f64 y x) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(neg.f64 x) |
| Outputs |
|---|
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ 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))) |
(/ 1 y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
1 |
(+ 1 (* -1 (/ x y))) |
(* -1 x) |
(/ -1 x) |
(/ -1 y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
y |
(+ x y) |
(/ y x) |
(* x y) |
(* x (+ y (* -1 x))) |
(+ y (* -1 x)) |
(pow y 2) |
(+ (* -1 (pow x 2)) (pow y 2)) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -2 (pow y 2)) (pow y 2)))) (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2))))) (pow x 3)))) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* -1 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(* -1 (/ x (pow y 2))) |
(* x (- (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(* -1 (/ x y)) |
(* x (- (/ 1 x) (/ 1 y))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(/ (- (/ y x) 1) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 3) (pow x 3))))) (* -1 (/ (pow y 2) (pow x 2)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow y 2) x))) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (/ (* y (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (* -1 y)) x))) |
(* -1 (* x (- (/ 1 (pow y 2)) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1))) |
(+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))) |
(+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2)) |
(/ (+ y (* -1 x)) (pow y 2)) |
(/ (- y x) y) |
(- (/ y (pow x 2)) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- y (* -1 x)) |
(+ (* -1 (pow x 2)) (* x y)) |
(- y x) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (pow y 3)))) (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)))) y) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/ (- (/ x y) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y) |
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) |
(* y (+ 1 (/ x y))) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y)))) |
(/ (+ x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ x (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 4) (pow y 3))))) (* -1 (/ (pow x 3) (pow y 2)))) y) |
(* y (+ x (* -1 (/ (pow x 2) y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (/ (pow x 4) y)) y)) (* -1 (pow x 2))) y))) y)) |
(* -1 (/ (- (/ x y) 1) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y)))) |
(* -1 (* y (- (/ x y) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | ((/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (* (/ (- 1 (/ x y)) y) x) (/ (- 1 (/ x y)) y) (- 1 (/ x y)) (* (/ -1 (+ y x)) (/ 1 (/ x (neg (* x x))))) (/ 1 (/ x (neg (* x x)))) (/ x (neg (* x x))) (/ -1 (+ y x)) (+ (* (/ y x) x) x) (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (/ y x) (/ (* (- y x) x) (+ (* (neg x) x) (* y y))) (* (- y x) x) (- y x) (+ (* (neg x) x) (* y y)) (neg x)) |
| 2.0ms | y | @ | -inf | ((/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (* (/ (- 1 (/ x y)) y) x) (/ (- 1 (/ x y)) y) (- 1 (/ x y)) (* (/ -1 (+ y x)) (/ 1 (/ x (neg (* x x))))) (/ 1 (/ x (neg (* x x)))) (/ x (neg (* x x))) (/ -1 (+ y x)) (+ (* (/ y x) x) x) (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (/ y x) (/ (* (- y x) x) (+ (* (neg x) x) (* y y))) (* (- y x) x) (- y x) (+ (* (neg x) x) (* y y)) (neg x)) |
| 2.0ms | x | @ | -inf | ((/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (* (/ (- 1 (/ x y)) y) x) (/ (- 1 (/ x y)) y) (- 1 (/ x y)) (* (/ -1 (+ y x)) (/ 1 (/ x (neg (* x x))))) (/ 1 (/ x (neg (* x x)))) (/ x (neg (* x x))) (/ -1 (+ y x)) (+ (* (/ y x) x) x) (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (/ y x) (/ (* (- y x) x) (+ (* (neg x) x) (* y y))) (* (- y x) x) (- y x) (+ (* (neg x) x) (* y y)) (neg x)) |
| 2.0ms | x | @ | inf | ((/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (* (/ (- 1 (/ x y)) y) x) (/ (- 1 (/ x y)) y) (- 1 (/ x y)) (* (/ -1 (+ y x)) (/ 1 (/ x (neg (* x x))))) (/ 1 (/ x (neg (* x x)))) (/ x (neg (* x x))) (/ -1 (+ y x)) (+ (* (/ y x) x) x) (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (/ y x) (/ (* (- y x) x) (+ (* (neg x) x) (* y y))) (* (- y x) x) (- y x) (+ (* (neg x) x) (* y y)) (neg x)) |
| 2.0ms | y | @ | inf | ((/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (* (/ (- 1 (/ x y)) y) x) (/ (- 1 (/ x y)) y) (- 1 (/ x y)) (* (/ -1 (+ y x)) (/ 1 (/ x (neg (* x x))))) (/ 1 (/ x (neg (* x x)))) (/ x (neg (* x x))) (/ -1 (+ y x)) (+ (* (/ y x) x) x) (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (/ y x) (/ (* (- y x) x) (+ (* (neg x) x) (* y y))) (* (- y x) x) (- y x) (+ (* (neg x) x) (* y y)) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 338 | 1610 |
| 1 | 1096 | 1231 |
| 2 | 3217 | 1007 |
| 0 | 8474 | 953 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ 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))) |
(/ 1 y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
1 |
(+ 1 (* -1 (/ x y))) |
(* -1 x) |
(/ -1 x) |
(/ -1 y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
y |
(+ x y) |
(/ y x) |
(* x y) |
(* x (+ y (* -1 x))) |
(+ y (* -1 x)) |
(pow y 2) |
(+ (* -1 (pow x 2)) (pow y 2)) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -2 (pow y 2)) (pow y 2)))) (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2))))) (pow x 3)))) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* -1 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(* -1 (/ x (pow y 2))) |
(* x (- (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(* -1 (/ x y)) |
(* x (- (/ 1 x) (/ 1 y))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(/ (- (/ y x) 1) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 3) (pow x 3))))) (* -1 (/ (pow y 2) (pow x 2)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow y 2) x))) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (/ (* y (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (* -1 y)) x))) |
(* -1 (* x (- (/ 1 (pow y 2)) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1))) |
(+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))) |
(+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2)) |
(/ (+ y (* -1 x)) (pow y 2)) |
(/ (- y x) y) |
(- (/ y (pow x 2)) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- y (* -1 x)) |
(+ (* -1 (pow x 2)) (* x y)) |
(- y x) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (pow y 3)))) (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)))) y) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/ (- (/ x y) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y) |
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) |
(* y (+ 1 (/ x y))) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y)))) |
(/ (+ x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ x (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 4) (pow y 3))))) (* -1 (/ (pow x 3) (pow y 2)))) y) |
(* y (+ x (* -1 (/ (pow x 2) y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (/ (pow x 4) y)) y)) (* -1 (pow x 2))) y))) y)) |
(* -1 (/ (- (/ x y) 1) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y)))) |
(* -1 (* y (- (/ x y) 1))) |
| Outputs |
|---|
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) x) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x) x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 x) |
(neg.f64 x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) |
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
y |
(+ x y) |
(+.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* -1 x))) |
(*.f64 (-.f64 y x) x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(pow y 2) |
(*.f64 y y) |
(+ (* -1 (pow x 2)) (pow y 2)) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(- (+ 1 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -2 (pow y 2)) (pow y 2)))) (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2))))) (pow x 3)))) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64)) |
(* -1 (/ (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 x y) y)) |
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (*.f64 x x)) |
(* -1 (/ x (pow y 2))) |
(/.f64 (neg.f64 x) (*.f64 y y)) |
(* x (- (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (/ 1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64)) |
(/ (- (/ y x) 1) x) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) |
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)) x x) |
(+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 3) (pow x 3))))) (* -1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (/ y x) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* x (- (/ y x) 1)) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow y 2) x))) (* -1 y)) x))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (/ (* y (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 (pow y 2)) (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64)) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64)) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64)) |
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (-.f64 y x) x) y) y) |
(/ (+ y (* -1 x)) (pow y 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(/ (- y x) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(- (/ y (pow x 2)) (/ 1 x)) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (*.f64 (-.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) y (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
(- y (* -1 x)) |
(+.f64 y x) |
(+ (* -1 (pow x 2)) (* x y)) |
(*.f64 (-.f64 y x) x) |
(- y x) |
(-.f64 y x) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 2)))) (/ (pow x 2) y)) y) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (pow y 3)))) (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)))) y) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(/ (- (/ x y) 1) y) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) |
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y)))) |
(fma.f64 (/.f64 x y) y y) |
(/ (+ x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2)))) y) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(/ (- (+ x (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 4) (pow y 3))))) (* -1 (/ (pow x 3) (pow y 2)))) y) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(* y (+ x (* -1 (/ (pow x 2) y)))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 x) (/.f64 (/.f64 x y) y) #s(literal 1 binary64)) y) y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (/ (pow x 4) y)) y)) (* -1 (pow x 2))) y))) y)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(* -1 (/ (- (/ x y) 1) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y)))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y) |
(* -1 (* y (- (/ x y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 169 |
| 0 | 56 | 169 |
| 1 | 237 | 127 |
| 2 | 1809 | 101 |
| 0 | 8601 | 98 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) |
(/.f64 x (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
(fma.f64 (/.f64 y x) x x) |
(/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (fma.f64 (/.f64 y x) x x))) |
#s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (fma.f64 (/.f64 y x) x x)) |
(/.f64 y x) |
(/.f64 (*.f64 (-.f64 y x) x) (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(*.f64 (-.f64 y x) x) |
(-.f64 y x) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y)) |
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) |
(pow.f64 (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 x y)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) x) (neg.f64 y)) |
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x))) |
(/.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) |
(pow.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (/.f64 x y) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (/.f64 x y) y)) (neg.f64 (/.f64 (/.f64 x y) y))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 x y) y)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64))) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x y) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x y) y)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 y (/.f64 x y)))) (neg.f64 (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 x) y))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 (neg.f64 y) (*.f64 y (neg.f64 y)))) |
(/.f64 (-.f64 (neg.f64 y) (*.f64 (neg.f64 y) (/.f64 x y))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x y))) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 y (/.f64 x y)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (/.f64 y x))) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (*.f64 y (/.f64 y x)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 (neg.f64 y) x)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (neg.f64 x) y))) (*.f64 (/.f64 y #s(literal 1 binary64)) (neg.f64 y))) |
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(-.f64 (*.f64 y y) (*.f64 x x)) |
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(+.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) x) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 x x)) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) x)) |
(*.f64 x #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))))) |
(/.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (/.f64 (*.f64 x x) x)) |
(neg.f64 (neg.f64 (neg.f64 x))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(-.f64 #s(literal 0 binary64) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 14 625 to 2 055 computations (85.9% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 586 | 1 | 587 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 5 | 5 |
| Total | 587 | 9 | 596 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 64.3% | (/.f64 (*.f64 (-.f64 y x) x) (fma.f64 (neg.f64 x) x (*.f64 y y))) |
| ✓ | 100.0% | (/.f64 x (+.f64 y x)) |
| ✓ | 99.1% | (/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (fma.f64 (/.f64 y x) x x))) |
| ▶ | 99.1% | (/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))) |
| ✓ | 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) |
| ✓ | 50.5% | #s(approx (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) |
| ✓ | 51.1% | #s(approx (/ x (+ y x)) (/.f64 x y)) |
| ✓ | 49.8% | #s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
| ✓ | 50.3% | #s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
Compiled 132 to 83 computations (37.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (/.f64 y x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))) | |
| cost-diff | 4 | (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 68 |
| 0 | 19 | 66 |
| 1 | 39 | 66 |
| 2 | 72 | 66 |
| 3 | 118 | 66 |
| 4 | 260 | 54 |
| 5 | 682 | 54 |
| 6 | 1850 | 50 |
| 7 | 3385 | 50 |
| 8 | 4302 | 50 |
| 9 | 5083 | 50 |
| 10 | 5231 | 50 |
| 11 | 5293 | 50 |
| 12 | 5325 | 50 |
| 13 | 6300 | 50 |
| 14 | 7023 | 50 |
| 15 | 7273 | 50 |
| 16 | 7441 | 50 |
| 17 | 7493 | 50 |
| 18 | 7497 | 50 |
| 19 | 7871 | 50 |
| 0 | 8014 | 50 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))) |
x |
#s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(+.f64 (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))) |
(/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 y x))) |
x |
#s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
#s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 y x)) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(+.f64 y x) |
(+.f64 (/.f64 y x) #s(literal 1 binary64)) |
(-.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 y x) |
y |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 (/.f64 y x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)) | |
| accuracy | 0.0234375 | (/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))) | |
| accuracy | 9.148300360474428 | (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
| 46.0ms | 256× | 0 | valid |
Compiled 54 to 16 computations (70.4% saved)
ival-sub: 24.0ms (62.7% of total)ival-div: 7.0ms (18.3% of total)ival-mult: 4.0ms (10.5% of total)ival-add: 2.0ms (5.2% of total)ival-neg: 1.0ms (2.6% 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 (/.f64 y x) #s(literal 1 binary64)) x) |
(/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))) |
#s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
(+.f64 (/.f64 y x) #s(literal 1 binary64)) |
| Outputs |
|---|
y |
(+ x y) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ 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) |
(/ (+ x y) x) |
x |
(* x (+ 1 (/ y x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -2 (pow y 2)) (pow y 2)))) (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2))))) (pow x 3)))) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(+ 1 (/ y x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow y 2) x))) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (/ (* y (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(- y (* -1 x)) |
(* y (+ 1 (/ x y))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (pow y 3)))) (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)))) y) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y)))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (/ (pow x 4) y)) y)) (* -1 (pow x 2))) y))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | -inf | ((* (+ (/ y x) 1) x) (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+ (/ y x) 1)) |
| 1.0ms | y | @ | -inf | ((* (+ (/ y x) 1) x) (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+ (/ y x) 1)) |
| 1.0ms | x | @ | 0 | ((* (+ (/ y x) 1) x) (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+ (/ y x) 1)) |
| 1.0ms | y | @ | 0 | ((* (+ (/ y x) 1) x) (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+ (/ y x) 1)) |
| 1.0ms | y | @ | inf | ((* (+ (/ y x) 1) x) (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+ (/ y x) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 178 | 499 |
| 1 | 569 | 402 |
| 2 | 1877 | 314 |
| 3 | 7159 | 313 |
| 0 | 8054 | 301 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ x y) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ 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) |
(/ (+ x y) x) |
x |
(* x (+ 1 (/ y x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -2 (pow y 2)) (pow y 2)))) (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2))))) (pow x 3)))) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(+ 1 (/ y x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow y 2) x))) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (/ (* y (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(- y (* -1 x)) |
(* y (+ 1 (/ x y))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (pow y 3)))) (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)))) y) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y)))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (/ (pow x 4) y)) y)) (* -1 (pow x 2))) y))) y)) |
| Outputs |
|---|
y |
(+ x y) |
(+.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 x y)) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
(/ y x) |
(/.f64 y x) |
(/ (+ x y) x) |
(/.f64 (+.f64 x y) x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(- (+ 1 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -2 (pow y 2)) (pow y 2)))) (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2))))) (pow x 3)))) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (*.f64 y (fma.f64 (neg.f64 y) (/.f64 y x) y)) x)) x)) |
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 y x) x) y) (/.f64 y x)) x x) |
(+ 1 (/ y x)) |
(-.f64 (/.f64 y x) #s(literal -1 binary64)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow y 2) x))) (* -1 y)) x))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (/ (* y (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow y 2)))) x)) (* -1 y)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (*.f64 y (fma.f64 (neg.f64 y) (/.f64 y x) y)) x)) x)) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (*.f64 y (fma.f64 (neg.f64 y) (/.f64 y x) y)) x)) x)) |
(- y (* -1 x)) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 2)))) (/ (pow x 2) y)) y) |
(/.f64 (+.f64 (/.f64 (*.f64 x (fma.f64 (/.f64 x y) x (neg.f64 x))) y) x) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (pow y 3)))) (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)))) y) |
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 x (fma.f64 (/.f64 x y) x (neg.f64 x))) y) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) y) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y)))) |
(+.f64 x y) |
(* y (+ (/ 1 x) (/ 1 y))) |
(-.f64 (/.f64 y x) #s(literal -1 binary64)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) |
(/.f64 (+.f64 (/.f64 (*.f64 x (fma.f64 (/.f64 x y) x (neg.f64 x))) y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (/ (pow x 4) y)) y)) (* -1 (pow x 2))) y))) y)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 62 |
| 0 | 19 | 60 |
| 1 | 96 | 36 |
| 2 | 754 | 24 |
| 0 | 9173 | 24 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))) |
#s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
(+.f64 (/.f64 y x) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (/.f64 x (-.f64 y x))) |
(*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 x (-.f64 y x))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) x x) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) (-.f64 x y)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(*.f64 (*.f64 (neg.f64 (+.f64 x y)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) (-.f64 x y)) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 y y) (-.f64 y x) (*.f64 (-.f64 x y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 x y) (-.f64 (*.f64 (/.f64 y (+.f64 x y)) (/.f64 y (-.f64 y x))) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 x y) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))) (pow.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) |
(*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y (-.f64 y x)) y) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) (-.f64 x y)) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(*.f64 #s(literal 1 binary64) (+.f64 x y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(pow.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x))))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (+.f64 x y)) (neg.f64 (+.f64 x y)))) (+.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x y)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 y x) x) (*.f64 (/.f64 y x) x))) (-.f64 x (*.f64 (/.f64 y x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 y x) x) (*.f64 (/.f64 y x) x)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 y x) x) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (+.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (+.f64 x y)) (neg.f64 (+.f64 x y)) (*.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (/.f64 y x) x) (*.f64 (/.f64 y x) x)) (*.f64 x (*.f64 (/.f64 y x) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 y x) x) (*.f64 (/.f64 y x) x) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 y x) x) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (/.f64 (-.f64 x y) x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 x y) x)) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) x x)) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) (-.f64 x y)))) (neg.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) (-.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 x y)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x))))) (neg.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) (-.f64 x y)) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (-.f64 y x) (*.f64 (-.f64 x y) (*.f64 x x)))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))) (*.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x))) (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x))) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 (neg.f64 x) x))) (*.f64 (-.f64 x y) (-.f64 x y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (-.f64 y x)) (*.f64 (-.f64 x y) (*.f64 x x))) (*.f64 (-.f64 x y) (-.f64 y x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 x y) #s(literal 1 binary64))) (*.f64 (-.f64 x y) (/.f64 (-.f64 y x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 (-.f64 y x) x)) (*.f64 (-.f64 x y) x)) (*.f64 (-.f64 x y) (/.f64 (-.f64 y x) x))) |
(/.f64 (-.f64 (*.f64 y (/.f64 (-.f64 y x) (*.f64 x x))) (/.f64 (-.f64 y x) y)) (*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 y x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (-.f64 y x) (*.f64 (neg.f64 x) x))) (*.f64 (-.f64 y x) (-.f64 x y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x))) (-.f64 y x)) (*.f64 (-.f64 y x) (/.f64 (-.f64 y x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (/.f64 (-.f64 y x) x)) (*.f64 (-.f64 y x) x)) (*.f64 (-.f64 y x) (/.f64 (-.f64 y x) x))) |
(/.f64 (-.f64 (/.f64 (-.f64 y x) x) (*.f64 (/.f64 (-.f64 y x) (*.f64 y y)) x)) (*.f64 (/.f64 (-.f64 y x) (*.f64 y y)) (/.f64 (-.f64 y x) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (/.f64 (-.f64 y x) (*.f64 y y)) (*.f64 (neg.f64 x) x))) (*.f64 (/.f64 (-.f64 y x) (*.f64 y y)) (-.f64 x y))) |
(/.f64 (-.f64 (-.f64 y x) (*.f64 (/.f64 (-.f64 y x) (*.f64 y y)) (*.f64 x x))) (*.f64 (/.f64 (-.f64 y x) (*.f64 y y)) (-.f64 y x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (/.f64 (-.f64 y x) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 y x) (*.f64 y y)) (/.f64 (-.f64 y x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 y (-.f64 x y)) (*.f64 (/.f64 (-.f64 y x) y) (*.f64 (neg.f64 x) x))) (*.f64 (/.f64 (-.f64 y x) y) (-.f64 x y))) |
(/.f64 (-.f64 (*.f64 y (-.f64 y x)) (*.f64 (/.f64 (-.f64 y x) y) (*.f64 x x))) (*.f64 (/.f64 (-.f64 y x) y) (-.f64 y x))) |
(/.f64 (-.f64 (*.f64 y (/.f64 (-.f64 y x) x)) (*.f64 (/.f64 (-.f64 y x) y) x)) (*.f64 (/.f64 (-.f64 y x) y) (/.f64 (-.f64 y x) x))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (-.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 (-.f64 y x) (/.f64 (-.f64 y x) (*.f64 y y)))) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 y x) (*.f64 y y)) (/.f64 (-.f64 y x) x)) (*.f64 (/.f64 (-.f64 y x) x) (/.f64 (-.f64 y x) (*.f64 y y)))) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64))) (-.f64 x y) (*.f64 (*.f64 (/.f64 x (-.f64 y x)) x) (*.f64 (neg.f64 y) y))) (*.f64 (*.f64 (/.f64 x (-.f64 y x)) x) (-.f64 x y))) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64))) (/.f64 (-.f64 y x) y) (*.f64 (*.f64 (/.f64 x (-.f64 y x)) x) y)) (*.f64 (*.f64 (/.f64 x (-.f64 y x)) x) (/.f64 (-.f64 y x) y))) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64))) (-.f64 y x) (*.f64 (*.f64 (/.f64 x (-.f64 y x)) x) (*.f64 y y))) (*.f64 (*.f64 (/.f64 x (-.f64 y x)) x) (-.f64 y x))) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64))) (/.f64 (-.f64 y x) (*.f64 y y)) (*.f64 (/.f64 x (-.f64 y x)) x)) (*.f64 (*.f64 (/.f64 x (-.f64 y x)) x) (/.f64 (-.f64 y x) (*.f64 y y)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 3 binary64)) (-.f64 x y) (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (neg.f64 y) y))) (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 x y))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 3 binary64)) (-.f64 y x) (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 y y))) (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 y x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 3 binary64)) (/.f64 (-.f64 y x) (*.f64 y y)) (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (-.f64 y x) (*.f64 y y)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 3 binary64)) (/.f64 (-.f64 y x) y) (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) #s(literal 0 binary64)) y)) (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (-.f64 y x) y))) |
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(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (-.f64 y x) (*.f64 (-.f64 y x) (*.f64 y y))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
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(fma.f64 (/.f64 x (-.f64 x y)) x (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 y x) x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) y) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (-.f64 y x)) x) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x y)) x)) |
(fma.f64 (*.f64 x y) (pow.f64 x #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 x y)) x)) |
(fma.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))))) |
(fma.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 (neg.f64 x) (/.f64 x (-.f64 y x)) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal -1 binary64) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 (/.f64 x (-.f64 y x)) (neg.f64 x) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 (/.f64 y (-.f64 y x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x y)) x)) |
(fma.f64 (/.f64 y (-.f64 y x)) y (*.f64 (/.f64 x (-.f64 x y)) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 y x)) y) (*.f64 (/.f64 x (-.f64 x y)) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 y x) x)) |
(fma.f64 #s(literal 1 binary64) x y) |
(fma.f64 #s(literal 1 binary64) y x) |
(fma.f64 (/.f64 y x) x x) |
(fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 y x) x)) |
(fma.f64 x #s(literal 1 binary64) y) |
(fma.f64 x (/.f64 y x) x) |
(fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 (/.f64 x (-.f64 x y)) x)) |
(fma.f64 y #s(literal 1 binary64) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) (-.f64 x y))) (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) (-.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) (-.f64 x y)) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) (-.f64 x y)) (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (-.f64 y x) x) x) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x y))) |
(-.f64 (*.f64 (/.f64 y (-.f64 y x)) y) (*.f64 (/.f64 x (-.f64 y x)) x)) |
(-.f64 y (neg.f64 x)) |
(+.f64 (-.f64 y #s(literal 0 binary64)) x) |
(+.f64 (*.f64 (/.f64 y x) x) x) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 y x)) y) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 y x)) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))))) |
(+.f64 #s(literal 0 binary64) (+.f64 x y)) |
(+.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (*.f64 (/.f64 y (-.f64 y x)) y)) |
(+.f64 (*.f64 (/.f64 y (-.f64 y x)) y) (*.f64 (/.f64 x (-.f64 x y)) x)) |
(+.f64 x (*.f64 (/.f64 y x) x)) |
(+.f64 x y) |
(+.f64 y x) |
(*.f64 (pow.f64 (/.f64 #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)) x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)))) |
(*.f64 (pow.f64 #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)))) |
(*.f64 x (pow.f64 #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)) (neg.f64 x))) |
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)) x)) |
(/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)) x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y))))) |
(neg.f64 (/.f64 (neg.f64 x) #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)))) (/.f64 (neg.f64 x) #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)))) |
(*.f64 #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y))) |
#s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)) |
(/.f64 (neg.f64 #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y))) #s(literal -1 binary64)) |
(/.f64 #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (+.f64 x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 x (-.f64 x y))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 y x))) |
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (/.f64 y x)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 x (-.f64 y x))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 x (-.f64 y x)))) (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 x (-.f64 y x)) (/.f64 x (-.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 x (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) x) #s(literal -3 binary64))) (fma.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 x (-.f64 y x))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 x (-.f64 y x))) (+.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 x (-.f64 y x))) (/.f64 x (-.f64 y x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 y x) x)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 y x) x)) (/.f64 (-.f64 y x) x)) (*.f64 (/.f64 (-.f64 y x) x) (/.f64 (-.f64 y x) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 x y) x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (/.f64 y x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 y x) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (/.f64 y x))) |
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 y x) x))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x y) x))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 x (-.f64 y x)) (/.f64 x (-.f64 x y))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 y (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 x (-.f64 y x))) (/.f64 x (-.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 x (-.f64 y x))) (/.f64 x (-.f64 x y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+.f64 (/.f64 y x) #s(literal 1 binary64)) |
Compiled 12 212 to 1 357 computations (88.9% saved)
9 alts after pruning (0 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 299 | 0 | 299 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 299 | 9 | 308 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 64.3% | (/.f64 (*.f64 (-.f64 y x) x) (fma.f64 (neg.f64 x) x (*.f64 y y))) |
| ✓ | 100.0% | (/.f64 x (+.f64 y x)) |
| ✓ | 99.1% | (/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (fma.f64 (/.f64 y x) x x))) |
| ✓ | 99.1% | (/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))) |
| ✓ | 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) |
| ✓ | 50.5% | #s(approx (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) |
| ✓ | 51.1% | #s(approx (/ x (+ y x)) (/.f64 x y)) |
| ✓ | 49.8% | #s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
| ✓ | 50.3% | #s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
Compiled 305 to 138 computations (54.8% saved)
| Inputs |
|---|
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 x (+.f64 y x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) |
(/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (fma.f64 (/.f64 y x) x x))) |
#s(approx (/ x (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x)))))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) |
(/.f64 x #s(approx (+ (* y (/ y (- y x))) (neg (* x (/ x (- y x))))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 (-.f64 y x) x) (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))) |
(/.f64 x (fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
| Outputs |
|---|
(/.f64 x (+.f64 y x)) |
3 calls:
| 4.0ms | x |
| 4.0ms | y |
| 3.0ms | (/.f64 x (+.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 x (+.f64 y x)) |
Compiled 7 to 8 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
| Outputs |
|---|
#s(approx (/ x (+ y x)) (/.f64 x y)) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
3 calls:
| 26.0ms | x |
| 2.0ms | y |
| 1.0ms | (/.f64 x (+.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 3 | x |
| 76.7% | 3 | y |
| 98.4% | 2 | (/.f64 x (+.f64 y x)) |
Compiled 7 to 8 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
| Outputs |
|---|
#s(approx (/ x (+ y x)) (/.f64 x y)) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
1 calls:
| 1.0ms | (/.f64 x (+.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 2 | (/.f64 x (+.f64 y x)) |
Compiled 5 to 4 computations (20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 x (+.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 1 | y |
| 50.3% | 1 | x |
| 50.3% | 1 | (/.f64 x (+.f64 y x)) |
Compiled 7 to 8 computations (-14.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.2570155062941886e-6 | 0.9842403126670988 |
Compiled 8 to 9 computations (-12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.2570155062941886e-6 | 0.9842403126670988 |
Compiled 8 to 9 computations (-12.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 64 |
| 1 | 22 | 64 |
| 2 | 30 | 64 |
| 3 | 39 | 64 |
| 4 | 47 | 64 |
| 5 | 55 | 64 |
| 6 | 61 | 64 |
| 7 | 80 | 64 |
| 8 | 186 | 64 |
| 9 | 3519 | 64 |
| 10 | 7729 | 64 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 y x)) |
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 x (+.f64 y x)) |
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 306 |
| 1 | 369 | 287 |
| 2 | 946 | 257 |
| 3 | 3744 | 255 |
| 0 | 8369 | 242 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
Compiled 77 to 34 computations (55.8% saved)
Compiled 138 to 42 computations (69.6% saved)
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