
Time bar (total: 5.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 10 to 9 computations (10% saved)
| 490.0ms | 7 935× | 0 | valid |
| 14.0ms | 160× | 1 | valid |
| 14.0ms | 78× | 3 | valid |
| 11.0ms | 83× | 2 | valid |
ival-sub: 88.0ms (27.7% of total)ival-add: 72.0ms (22.7% of total)ival-fabs: 71.0ms (22.4% of total)ival-div: 63.0ms (19.8% of total)adjust: 9.0ms (2.8% of total)ival-true: 6.0ms (1.9% of total)exact: 5.0ms (1.6% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 y x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (fabs.f64 (-.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 |
| 26.0ms | 492× | 0 | valid |
| 2.0ms | 8× | 3 | valid |
| 1.0ms | 8× | 1 | valid |
| 1.0ms | 4× | 2 | valid |
Compiled 84 to 32 computations (61.9% saved)
ival-div: 4.0ms (27% of total)ival-sub: 4.0ms (27% of total)ival-fabs: 3.0ms (20.2% of total)ival-add: 3.0ms (20.2% of total)adjust: 1.0ms (6.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 48 |
| 1 | 46 | 40 |
| 2 | 127 | 40 |
| 3 | 252 | 40 |
| 4 | 363 | 40 |
| 5 | 442 | 40 |
| 6 | 486 | 40 |
| 7 | 528 | 40 |
| 8 | 541 | 40 |
| 9 | 546 | 40 |
| 10 | 549 | 40 |
| 11 | 551 | 40 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 16 | 8 |
| 2 | 23 | 8 |
| 3 | 31 | 8 |
| 4 | 50 | 8 |
| 5 | 97 | 8 |
| 6 | 157 | 8 |
| 7 | 194 | 8 |
| 8 | 242 | 8 |
| 9 | 279 | 8 |
| 10 | 320 | 8 |
| 11 | 332 | 8 |
| 12 | 338 | 8 |
| 13 | 341 | 8 |
| 14 | 343 | 8 |
| 0 | 343 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| Outputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
Compiled 8 to 7 computations (12.5% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
Compiled 8 to 7 computations (12.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (fabs.f64 (-.f64 y x)) | |
| cost-diff | 128 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) | |
| cost-diff | 384 | (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 0 | 11 | 24 |
| 1 | 16 | 24 |
| 2 | 23 | 24 |
| 3 | 31 | 24 |
| 4 | 50 | 24 |
| 5 | 97 | 24 |
| 6 | 157 | 24 |
| 7 | 194 | 24 |
| 8 | 242 | 24 |
| 9 | 279 | 24 |
| 10 | 320 | 24 |
| 11 | 332 | 24 |
| 12 | 338 | 24 |
| 13 | 341 | 24 |
| 14 | 343 | 24 |
| 0 | 343 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
x |
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
#s(literal 2 binary64) |
| Outputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
x |
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) |
(fabs.f64 (-.f64 y x)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
y |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (-.f64 y x) | |
| accuracy | 0.0 | (fabs.f64 (-.f64 y x)) | |
| accuracy | 0.05859375 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 12.0ms | 246× | 0 | valid |
| 1.0ms | 4× | 3 | valid |
| 0.0ms | 4× | 1 | valid |
| 0.0ms | 2× | 2 | valid |
Compiled 50 to 16 computations (68% saved)
ival-div: 2.0ms (29.2% of total)ival-sub: 2.0ms (29.2% of total)ival-fabs: 1.0ms (14.6% of total)ival-add: 1.0ms (14.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) |
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
| Outputs |
|---|
(* 1/2 (fabs (- y x))) |
(+ x (* 1/2 (fabs (- y x)))) |
(fabs (- y x)) |
y |
(+ y (* -1 x)) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(fabs (+ y (* -1 x))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(- y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(fabs (neg (+ x (* -1 y)))) |
(* -1 (* y (- (/ x y) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x)) |
| 1.0ms | y | @ | inf | ((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x)) |
| 1.0ms | x | @ | -inf | ((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x)) |
| 1.0ms | y | @ | -inf | ((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x)) |
| 1.0ms | x | @ | 0 | ((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 84 |
| 1 | 115 | 84 |
| 2 | 264 | 84 |
| 3 | 770 | 84 |
| 4 | 2415 | 84 |
| 5 | 3294 | 84 |
| 6 | 4325 | 84 |
| 7 | 5185 | 84 |
| 8 | 5760 | 84 |
| 9 | 6248 | 84 |
| 10 | 7951 | 84 |
| 0 | 8041 | 80 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (fabs (- y x))) |
(+ x (* 1/2 (fabs (- y x)))) |
(fabs (- y x)) |
y |
(+ y (* -1 x)) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(fabs (+ y (* -1 x))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(- y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(fabs (neg (+ x (* -1 y)))) |
(* -1 (* y (- (/ x y) 1))) |
| Outputs |
|---|
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(fabs (+ y (* -1 x))) |
(fabs.f64 (-.f64 y x)) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(fabs (neg (+ x (* -1 y)))) |
(fabs.f64 (-.f64 y x)) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 0 | 11 | 21 |
| 1 | 51 | 21 |
| 2 | 380 | 21 |
| 3 | 5351 | 21 |
| 0 | 8398 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) |
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal -1 binary64)) (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 (-.f64 x y)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))) |
(*.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1 binary64)) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y))) |
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) (fabs.f64 (+.f64 x y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 #s(literal 2 binary64) (fabs.f64 (+.f64 x y)))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (fabs.f64 (-.f64 x y)))) |
(/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal -2 binary64)) |
(/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) (fma.f64 #s(literal -1/512 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fabs.f64 (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
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(/.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) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (neg.f64 (+.f64 x y)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) y)))) |
(/.f64 (-.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 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x y) x (*.f64 y y))) |
(neg.f64 (-.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 x (-.f64 x y) (*.f64 y y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y))))) |
(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 x y))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 x y) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 x y) x) (-.f64 (*.f64 (+.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y 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) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(fma.f64 x #s(literal -1 binary64) (neg.f64 (neg.f64 y))) |
(fma.f64 x #s(literal -1 binary64) y) |
(fma.f64 y (/.f64 y (+.f64 x y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y))))) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(-.f64 (+.f64 y #s(literal 0 binary64)) x) |
(-.f64 (*.f64 y (/.f64 y (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x y)) |
(-.f64 y x) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)) |
(+.f64 (*.f64 y (/.f64 y (+.f64 x y))) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(+.f64 (neg.f64 x) (neg.f64 (neg.f64 y))) |
(+.f64 (neg.f64 x) y) |
(+.f64 y (neg.f64 x)) |
Compiled 5 440 to 931 computations (82.9% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 234 | 10 | 244 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 235 | 10 | 245 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x) | |
| ▶ | 99.9% | (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
| 52.3% | (/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) | |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) |
| 99.3% | (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) | |
| ▶ | 53.5% | (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64))) |
| 99.9% | (+.f64 x (/.f64 (fabs.f64 (fma.f64 y (/.f64 y (+.f64 x y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))) #s(literal 2 binary64))) | |
| ▶ | 51.0% | (+.f64 x (/.f64 (fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))) #s(literal 2 binary64))) |
| 99.9% | (+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))) #s(literal 2 binary64))) | |
| ▶ | 99.7% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) |
Compiled 318 to 210 computations (34% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (+.f64 x (/.f64 (fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))) #s(literal 2 binary64))) | |
| cost-diff | 384 | (/.f64 (fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))) #s(literal 2 binary64)) | |
| cost-diff | 2816 | (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))) | |
| cost-diff | 6080 | (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fabs.f64 (-.f64 x y)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) | |
| cost-diff | 0 | (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) | |
| cost-diff | 128 | (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64))) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) | |
| cost-diff | 0 | (fabs.f64 (-.f64 x y)) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) | |
| cost-diff | 128 | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) | |
| cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (fabs.f64 (-.f64 x y)) | |
| cost-diff | 0 | (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 332 |
| 0 | 64 | 242 |
| 1 | 97 | 238 |
| 2 | 167 | 234 |
| 3 | 451 | 234 |
| 4 | 2070 | 234 |
| 5 | 6774 | 234 |
| 0 | 8276 | 233 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) |
#s(literal 2 binary64) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
y |
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64))) |
x |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) |
#s(literal 1 binary64) |
(/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(fabs.f64 (+.f64 x y)) |
(+.f64 x y) |
y |
(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(neg.f64 x) |
(*.f64 y y) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
#s(literal 1/2 binary64) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
x |
y |
#s(literal -1 binary64) |
(+.f64 x (/.f64 (fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))) #s(literal 2 binary64))) |
x |
(/.f64 (fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))) |
(*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))) |
(fma.f64 (+.f64 x y) x (*.f64 y y)) |
(+.f64 x y) |
y |
(*.f64 y y) |
(*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) |
(-.f64 y x) |
(pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
(fabs.f64 (-.f64 x y)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) |
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) |
#s(literal 2 binary64) |
(fabs.f64 (-.f64 x y)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 x y) |
y |
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) x) |
x |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) |
(/.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (+.f64 y x))) |
#s(literal 1 binary64) |
(/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(/.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) |
(fabs.f64 (+.f64 x y)) |
(fabs.f64 (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
y |
(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(neg.f64 x) |
(*.f64 y y) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
#s(literal 1/2 binary64) |
(fabs.f64 (-.f64 x y)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 x y) |
x |
y |
#s(literal -1 binary64) |
(+.f64 x (/.f64 (fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
x |
(/.f64 (fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) |
(fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))) |
(fabs.f64 (-.f64 y x)) |
(*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))) |
(-.f64 y x) |
(fma.f64 (+.f64 x y) x (*.f64 y y)) |
(fma.f64 (+.f64 y x) x (*.f64 y y)) |
(+.f64 x y) |
(+.f64 y x) |
y |
(*.f64 y y) |
(*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) |
(/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(-.f64 y x) |
(pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05859375 | (+.f64 x (/.f64 (fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))) #s(literal 2 binary64))) | |
| accuracy | 0.6495571332109922 | (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) | |
| accuracy | 28.532985295450437 | (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) | |
| accuracy | 29.33421414264446 | (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (fabs.f64 (-.f64 x y)) | |
| accuracy | 0.05859375 | (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) | |
| accuracy | 0.09765625 | (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) | |
| accuracy | 0.21484375 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) | |
| accuracy | 0.05859375 | (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64))) | |
| accuracy | 0.17578125 | (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) | |
| accuracy | 2.503878726055602 | (fma.f64 (neg.f64 x) x (*.f64 y y)) | |
| accuracy | 29.277604003256723 | (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) | |
| accuracy | 0.0 | (fabs.f64 (-.f64 x y)) | |
| accuracy | 0.015625 | (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) | |
| accuracy | 0.05859375 | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) | |
| accuracy | 0.17578125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (fabs.f64 (-.f64 x y)) | |
| accuracy | 0.05859375 | (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
| 80.0ms | 236× | 0 | valid |
| 25.0ms | 9× | 1 | valid |
| 9.0ms | 8× | 3 | valid |
| 2.0ms | 3× | 2 | valid |
Compiled 687 to 72 computations (89.5% saved)
ival-mult: 31.0ms (33.1% of total)ival-sub: 24.0ms (25.6% of total)ival-div: 12.0ms (12.8% of total)ival-add: 10.0ms (10.7% of total)ival-fabs: 6.0ms (6.4% of total)ival-pow: 6.0ms (6.4% of total)adjust: 3.0ms (3.2% of total)exact: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) |
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64)) |
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64))) |
(/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))) |
(/.f64 (fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(+.f64 x (/.f64 (fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) |
| Outputs |
|---|
(* 1/2 (fabs (- x y))) |
(+ x (* 1/2 (fabs (- x y)))) |
(fabs (- x y)) |
(* -1 y) |
(- x y) |
(/ 2 (fabs (- x y))) |
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))) |
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))) |
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))) |
(/ (fabs (+ x y)) (fabs (+ (* -1 (pow x 2)) (pow y 2)))) |
(+ (* -4 (/ x (pow (fabs (- x y)) 2))) (* 2 (/ 1 (fabs (- x y))))) |
(+ (* x (- (* 8 (/ x (pow (fabs (- x y)) 3))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y))))) |
(+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- x y)) 4))) (* 8 (/ 1 (pow (fabs (- x y)) 3))))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y))))) |
(/ 1 y) |
(+ (* -2 (/ x (pow y 2))) (/ 1 y)) |
(+ (* x (- (/ x (pow y 3)) (* 2 (/ 1 (pow y 2))))) (/ 1 y)) |
(+ (* x (- (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (* 2 (/ 1 (pow y 2))))) (/ 1 y)) |
y |
(+ y (* -1 x)) |
(* 1/2 (fabs (- y x))) |
(+ x (* 1/2 (fabs (- y x)))) |
(pow y 2) |
(+ (* -1 (pow x 2)) (pow y 2)) |
(/ 1 (pow y 2)) |
(+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2))) |
(+ (* x (- (/ (pow x 2) (pow y 5)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) |
(+ (* x (- (* (pow x 2) (+ (* -1 (/ x (pow y 6))) (/ 1 (pow y 5)))) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(/ (fabs (- (pow y 2) (pow x 2))) (fabs (+ x y))) |
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (+ x y)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y))))))) |
(/ (fabs (+ x y)) (fabs (- (pow y 2) (pow x 2)))) |
(/ 1 x) |
(/ (+ 1 (* -1/2 (/ (fabs (- x y)) x))) x) |
(/ (- (+ 1 (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- x y)) x))) x) |
(/ (- (+ 1 (* -1/8 (/ (pow (fabs (- x y)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))) x) |
(/ -1 x) |
(/ (- (/ y x) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (* (pow y 2) (- y (* -1 y)))) (pow x 3))) (/ y x)) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (* y (- y (* -1 y))) (pow x 2)))))) x) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ y x))) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (pow y 3))) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) (pow x 2)) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(fabs (neg (+ y (* -1 x)))) |
(* -1 (* x (- (/ y x) 1))) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(/ 2 (fabs (neg (+ y (* -1 x))))) |
(/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x)))) |
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x))))) |
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1))) |
(/ (fabs (- y (* -1 x))) (fabs (- (pow y 2) (pow x 2)))) |
(* -1 (/ (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (neg (+ y (* -1 x)))) 3) x)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2))) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- y (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (+ (* -1 (/ (* y (- y (* -1 y))) x)) (/ (pow y 2) x))) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (+ (/ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x) (/ (* (pow y 2) (- y (* -1 y))) x)) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x))) (* -1 y)) x))) x)) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)) (* -1 y)) x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x) (/ (pow y 3) x)) (+ (* -1 (pow y 2)) (pow y 2))) x)) (* -1 y)) x))) (pow x 2)) |
(+ x (* -1 y)) |
(/ 1 (+ x (* 1/2 (fabs (- x y))))) |
(- (* 2 (/ y (pow x 2))) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)) |
(- (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)) |
(- y x) |
(+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2))) |
(+ (* y (- (/ (pow y 2) (pow x 5)) (/ 1 (pow x 3)))) (/ 1 (pow x 2))) |
(+ (* y (- (* (pow y 2) (+ (* -1 (/ y (pow x 6))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2))) |
(* y (- (/ x y) 1)) |
(/ (- (+ 1 (* -1 (/ x y))) (/ x y)) y) |
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* x (- (* -1 x) x)) (pow x 2)) (pow y 2))))) (/ x y)) y) |
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (* x (+ (* x (- (* -1 x) x)) (pow x 2)))) (* (pow x 2) (- (* -1 x) x))) (pow y 3))))) (+ (/ x y) (+ (/ (* x (- (* -1 x) x)) (pow y 2)) (/ (pow x 2) (pow y 2))))) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(/ (+ 1 (* -1 (/ x y))) (pow y 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (/ x y)) (pow y 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (pow y 2)) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fabs (+ x (* -1 y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(/ 2 (fabs (+ x (* -1 y)))) |
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y)))) |
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))) |
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y)))))) |
(/ (fabs (- x (* -1 y))) (fabs (+ (* -1 (pow x 2)) (pow y 2)))) |
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y)))))) |
(* -1 (/ (- (/ x y) (+ 1 (* -1 (/ x y)))) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)) y))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (+ (* -1 (/ (+ (* x (+ (* -1 (* x (- x (* -1 x)))) (pow x 2))) (* (pow x 2) (- x (* -1 x)))) y)) (pow x 2))) y))) y)) 1) y)) |
(* -1 (* y (- (/ x y) 1))) |
(* 1/2 (fabs (* -1 (+ x (* -1 y))))) |
(+ x (* 1/2 (fabs (* -1 (+ x (* -1 y)))))) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (* -1 x)) y))) (pow y 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) y) (/ (pow x 3) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)) (* -1 x)) y))) (pow y 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | y | @ | -inf | ((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ 1 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (* (- y x) (pow (+ (* (+ x y) x) (* y y)) -1)) (* (+ (* (+ x y) x) (* y y)) (* (- y x) (pow (+ (* (+ x y) x) (* y y)) -1))) (/ (fabs (* (+ (* (+ x y) x) (* y y)) (* (- y x) (pow (+ (* (+ x y) x) (* y y)) -1)))) 2) (+ x (/ (fabs (* (+ (* (+ x y) x) (* y y)) (* (- y x) (pow (+ (* (+ x y) x) (* y y)) -1)))) 2)) (+ (* (neg x) x) (* y y)) (pow (+ (* (+ x y) x) (* y y)) -1)) |
| 8.0ms | y | @ | inf | ((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ 1 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (* (- y x) (pow (+ (* (+ x y) x) (* y y)) -1)) (* (+ (* (+ x y) x) (* y y)) (* (- y x) (pow (+ (* (+ x y) x) (* y y)) -1))) (/ (fabs (* (+ (* (+ x y) x) (* y y)) (* (- y x) (pow (+ (* (+ x y) x) (* y y)) -1)))) 2) (+ x (/ (fabs (* (+ (* (+ x y) x) (* y y)) (* (- y x) (pow (+ (* (+ x y) x) (* y y)) -1)))) 2)) (+ (* (neg x) x) (* y y)) (pow (+ (* (+ x y) x) (* y y)) -1)) |
| 6.0ms | x | @ | inf | ((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ 1 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (* (- y x) (pow (+ (* (+ x y) x) (* y y)) -1)) (* (+ (* (+ x y) x) (* y y)) (* (- y x) (pow (+ (* (+ x y) x) (* y y)) -1))) (/ (fabs (* (+ (* (+ x y) x) (* y y)) (* (- y x) (pow (+ (* (+ x y) x) (* y y)) -1)))) 2) (+ x (/ (fabs (* (+ (* (+ x y) x) (* y y)) (* (- y x) (pow (+ (* (+ x y) x) (* y y)) -1)))) 2)) (+ (* (neg x) x) (* y y)) (pow (+ (* (+ x y) x) (* y y)) -1)) |
| 5.0ms | x | @ | -inf | ((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ 1 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (* (- y x) (pow (+ (* (+ x y) x) (* y y)) -1)) (* (+ (* (+ x y) x) (* y y)) (* (- y x) (pow (+ (* (+ x y) x) (* y y)) -1))) (/ (fabs (* (+ (* (+ x y) x) (* y y)) (* (- y x) (pow (+ (* (+ x y) x) (* y y)) -1)))) 2) (+ x (/ (fabs (* (+ (* (+ x y) x) (* y y)) (* (- y x) (pow (+ (* (+ x y) x) (* y y)) -1)))) 2)) (+ (* (neg x) x) (* y y)) (pow (+ (* (+ x y) x) (* y y)) -1)) |
| 5.0ms | x | @ | 0 | ((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ 1 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (* (- y x) (pow (+ (* (+ x y) x) (* y y)) -1)) (* (+ (* (+ x y) x) (* y y)) (* (- y x) (pow (+ (* (+ x y) x) (* y y)) -1))) (/ (fabs (* (+ (* (+ x y) x) (* y y)) (* (- y x) (pow (+ (* (+ x y) x) (* y y)) -1)))) 2) (+ x (/ (fabs (* (+ (* (+ x y) x) (* y y)) (* (- y x) (pow (+ (* (+ x y) x) (* y y)) -1)))) 2)) (+ (* (neg x) x) (* y y)) (pow (+ (* (+ x y) x) (* y y)) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 449 | 1647 |
| 1 | 1314 | 1514 |
| 2 | 3763 | 1299 |
| 0 | 8511 | 1246 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (fabs (- x y))) |
(+ x (* 1/2 (fabs (- x y)))) |
(fabs (- x y)) |
(* -1 y) |
(- x y) |
(/ 2 (fabs (- x y))) |
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))) |
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))) |
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))) |
(/ (fabs (+ x y)) (fabs (+ (* -1 (pow x 2)) (pow y 2)))) |
(+ (* -4 (/ x (pow (fabs (- x y)) 2))) (* 2 (/ 1 (fabs (- x y))))) |
(+ (* x (- (* 8 (/ x (pow (fabs (- x y)) 3))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y))))) |
(+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- x y)) 4))) (* 8 (/ 1 (pow (fabs (- x y)) 3))))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y))))) |
(/ 1 y) |
(+ (* -2 (/ x (pow y 2))) (/ 1 y)) |
(+ (* x (- (/ x (pow y 3)) (* 2 (/ 1 (pow y 2))))) (/ 1 y)) |
(+ (* x (- (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (* 2 (/ 1 (pow y 2))))) (/ 1 y)) |
y |
(+ y (* -1 x)) |
(* 1/2 (fabs (- y x))) |
(+ x (* 1/2 (fabs (- y x)))) |
(pow y 2) |
(+ (* -1 (pow x 2)) (pow y 2)) |
(/ 1 (pow y 2)) |
(+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2))) |
(+ (* x (- (/ (pow x 2) (pow y 5)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) |
(+ (* x (- (* (pow x 2) (+ (* -1 (/ x (pow y 6))) (/ 1 (pow y 5)))) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(/ (fabs (- (pow y 2) (pow x 2))) (fabs (+ x y))) |
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (+ x y)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y))))))) |
(/ (fabs (+ x y)) (fabs (- (pow y 2) (pow x 2)))) |
(/ 1 x) |
(/ (+ 1 (* -1/2 (/ (fabs (- x y)) x))) x) |
(/ (- (+ 1 (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- x y)) x))) x) |
(/ (- (+ 1 (* -1/8 (/ (pow (fabs (- x y)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))) x) |
(/ -1 x) |
(/ (- (/ y x) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (* (pow y 2) (- y (* -1 y)))) (pow x 3))) (/ y x)) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (* y (- y (* -1 y))) (pow x 2)))))) x) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ y x))) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (pow y 3))) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) (pow x 2)) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(fabs (neg (+ y (* -1 x)))) |
(* -1 (* x (- (/ y x) 1))) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(/ 2 (fabs (neg (+ y (* -1 x))))) |
(/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x)))) |
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x))))) |
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1))) |
(/ (fabs (- y (* -1 x))) (fabs (- (pow y 2) (pow x 2)))) |
(* -1 (/ (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (neg (+ y (* -1 x)))) 3) x)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2))) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- y (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (+ (* -1 (/ (* y (- y (* -1 y))) x)) (/ (pow y 2) x))) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (+ (/ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x) (/ (* (pow y 2) (- y (* -1 y))) x)) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x))) (* -1 y)) x))) x)) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)) (* -1 y)) x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x) (/ (pow y 3) x)) (+ (* -1 (pow y 2)) (pow y 2))) x)) (* -1 y)) x))) (pow x 2)) |
(+ x (* -1 y)) |
(/ 1 (+ x (* 1/2 (fabs (- x y))))) |
(- (* 2 (/ y (pow x 2))) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)) |
(- (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)) |
(- y x) |
(+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2))) |
(+ (* y (- (/ (pow y 2) (pow x 5)) (/ 1 (pow x 3)))) (/ 1 (pow x 2))) |
(+ (* y (- (* (pow y 2) (+ (* -1 (/ y (pow x 6))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2))) |
(* y (- (/ x y) 1)) |
(/ (- (+ 1 (* -1 (/ x y))) (/ x y)) y) |
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* x (- (* -1 x) x)) (pow x 2)) (pow y 2))))) (/ x y)) y) |
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (* x (+ (* x (- (* -1 x) x)) (pow x 2)))) (* (pow x 2) (- (* -1 x) x))) (pow y 3))))) (+ (/ x y) (+ (/ (* x (- (* -1 x) x)) (pow y 2)) (/ (pow x 2) (pow y 2))))) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(/ (+ 1 (* -1 (/ x y))) (pow y 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (/ x y)) (pow y 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (pow y 2)) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fabs (+ x (* -1 y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(/ 2 (fabs (+ x (* -1 y)))) |
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y)))) |
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))) |
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y)))))) |
(/ (fabs (- x (* -1 y))) (fabs (+ (* -1 (pow x 2)) (pow y 2)))) |
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y)))))) |
(* -1 (/ (- (/ x y) (+ 1 (* -1 (/ x y)))) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)) y))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (+ (* -1 (/ (+ (* x (+ (* -1 (* x (- x (* -1 x)))) (pow x 2))) (* (pow x 2) (- x (* -1 x)))) y)) (pow x 2))) y))) y)) 1) y)) |
(* -1 (* y (- (/ x y) 1))) |
(* 1/2 (fabs (* -1 (+ x (* -1 y))))) |
(+ x (* 1/2 (fabs (* -1 (+ x (* -1 y)))))) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (* -1 x)) y))) (pow y 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) y) (/ (pow x 3) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)) (* -1 x)) y))) (pow y 2)) |
| Outputs |
|---|
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(/ 2 (fabs (- x y))) |
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) |
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))) |
(/.f64 (fabs.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))) (fabs.f64 (+.f64 y x))) |
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))) |
(*.f64 (/.f64 (fabs.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))) (fabs.f64 (+.f64 y x))) #s(literal 1/2 binary64)) |
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))) |
(fma.f64 (/.f64 (fabs.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))) (fabs.f64 (+.f64 y x))) #s(literal 1/2 binary64) x) |
(/ (fabs (+ x y)) (fabs (+ (* -1 (pow x 2)) (pow y 2)))) |
(/.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)))) |
(+ (* -4 (/ x (pow (fabs (- x y)) 2))) (* 2 (/ 1 (fabs (- x y))))) |
(fma.f64 (/.f64 x (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) |
(+ (* x (- (* 8 (/ x (pow (fabs (- x y)) 3))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y))))) |
(fma.f64 (fma.f64 (/.f64 x (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64))) #s(literal 8 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) x (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) |
(+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- x y)) 4))) (* 8 (/ 1 (pow (fabs (- x y)) 3))))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64))) #s(literal -16 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))) x (/.f64 #s(literal -4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) x (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -2 (/ x (pow y 2))) (/ 1 y)) |
(fma.f64 (/.f64 x (*.f64 y y)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+ (* x (- (/ x (pow y 3)) (* 2 (/ 1 (pow y 2))))) (/ 1 y)) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) |
(+ (* x (- (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (* 2 (/ 1 (pow y 2))))) (/ 1 y)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal -2 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(pow y 2) |
(*.f64 y y) |
(+ (* -1 (pow x 2)) (pow y 2)) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(/ 1 (pow y 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) y) |
(+ (* x (- (/ (pow x 2) (pow y 5)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) |
(fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 5 binary64)))) x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) y)) |
(+ (* x (- (* (pow x 2) (+ (* -1 (/ x (pow y 6))) (/ 1 (pow y 5)))) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x)) x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) y)) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(/ (fabs (- (pow y 2) (pow x 2))) (fabs (+ x y))) |
(/.f64 (fabs.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))) (fabs.f64 (+.f64 y x))) |
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (+ x y)))) |
(*.f64 (/.f64 (fabs.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))) (fabs.f64 (+.f64 y x))) #s(literal 1/2 binary64)) |
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y))))))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fabs.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))) (*.f64 (fabs.f64 (+.f64 y x)) x)) x) |
(/ (fabs (+ x y)) (fabs (- (pow y 2) (pow x 2)))) |
(/.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/2 (/ (fabs (- x y)) x))) x) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 (-.f64 x y)) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- x y)) x))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) x))) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (* -1/8 (/ (pow (fabs (- x y)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))) x) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) x))) x) #s(literal 1 binary64))) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (/ y x) (+ 1 (* -1 (/ y x)))) x) |
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -1 binary64)) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x)))) x) |
(/.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -1 binary64))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (* (pow y 2) (- y (* -1 y)))) (pow x 3))) (/ y x)) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (* y (- y (* -1 y))) (pow x 2)))))) x) |
(/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) 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 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/ (+ 1 (* -1 (/ y x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) x) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) x) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (pow y 3))) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (*.f64 x x)) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 x y)) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(/ 2 (fabs (neg (+ y (* -1 x))))) |
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) |
(/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x)))) |
(/.f64 (fabs.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))) (fabs.f64 (+.f64 y x))) |
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x))))) |
(*.f64 (/.f64 (fabs.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))) (fabs.f64 (+.f64 y x))) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (fabs.f64 (+.f64 y x))) (/.f64 (fabs.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))) x) #s(literal -1 binary64)) (neg.f64 x)) |
(/ (fabs (- y (* -1 x))) (fabs (- (pow y 2) (pow x 2)))) |
(/.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)))) |
(* -1 (/ (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1) x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 (-.f64 x y)) x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) x))) x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (neg (+ y (* -1 x)))) 3) x)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2))) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))) (/.f64 (fma.f64 (/.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) x) #s(literal 1/8 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) x)) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- y (* -1 y)) x))) x)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (+ (* -1 (/ (* y (- y (* -1 y))) x)) (/ (pow y 2) x))) (* -1 y)) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 y (/.f64 (neg.f64 y) x) (*.f64 #s(literal 2 binary64) y)) x) #s(literal -1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (+ (/ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x) (/ (* (pow y 2) (- y (* -1 y))) x)) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x))) (* -1 y)) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y (/.f64 (fma.f64 y y (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) x))) (neg.f64 x))) x) #s(literal -1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)) (* -1 y)) x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) x) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x) (/ (pow y 3) x)) (+ (* -1 (pow y 2)) (pow y 2))) x)) (* -1 y)) x))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (*.f64 x x)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(/ 1 (+ x (* 1/2 (fabs (- x y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) |
(- (* 2 (/ y (pow x 2))) (/ 1 x)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -1 binary64)) x) |
(- (* y (+ (* -1 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)) |
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal -1 binary64) x)) |
(- (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)) |
(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 2 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x)) |
(- y x) |
(-.f64 y x) |
(+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) x) |
(+ (* y (- (/ (pow y 2) (pow x 5)) (/ 1 (pow x 3)))) (/ 1 (pow x 2))) |
(fma.f64 y (*.f64 y (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) x)) |
(+ (* y (- (* (pow y 2) (+ (* -1 (/ y (pow x 6))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2))) |
(fma.f64 y (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (*.f64 y y)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) x)) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (- (+ 1 (* -1 (/ x y))) (/ x y)) y) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64)) y) |
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* x (- (* -1 x) x)) (pow x 2)) (pow y 2))))) (/ x y)) y) |
(/.f64 (+.f64 (/.f64 (fma.f64 x (/.f64 x y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 1 binary64)) y) |
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (* x (+ (* x (- (* -1 x) x)) (pow x 2)))) (* (pow x 2) (- (* -1 x) x))) (pow y 3))))) (+ (/ x y) (+ (/ (* x (- (* -1 x) x)) (pow y 2)) (/ (pow x 2) (pow y 2))))) y) |
(/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 x))) 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 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(/ (+ 1 (* -1 (/ x y))) (pow y 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) y) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (/ x y)) (pow y 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) y) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (pow y 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y)) y)) (*.f64 y y)) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 x y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(/ 2 (fabs (+ x (* -1 y)))) |
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) |
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y)))) |
(/.f64 (fabs.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))) (fabs.f64 (+.f64 y x))) |
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))) |
(*.f64 (/.f64 (fabs.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))) (fabs.f64 (+.f64 y x))) #s(literal 1/2 binary64)) |
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y)))))) |
(fma.f64 (/.f64 (fabs.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))) (fabs.f64 (+.f64 y x))) #s(literal 1/2 binary64) x) |
(/ (fabs (- x (* -1 y))) (fabs (+ (* -1 (pow x 2)) (pow y 2)))) |
(/.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)))) |
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) |
(* -1 (/ (- (/ x y) (+ 1 (* -1 (/ x y)))) y)) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)) y))) y)) 1) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 x (/.f64 x y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (+ (* -1 (/ (+ (* x (+ (* -1 (* x (- x (* -1 x)))) (pow x 2))) (* (pow x 2) (- x (* -1 x)))) y)) (pow x 2))) y))) y)) 1) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 x (fma.f64 x (/.f64 x y) x)) y)) y) #s(literal 1 binary64)) y) |
(* -1 (* y (- (/ x y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(* 1/2 (fabs (* -1 (+ x (* -1 y))))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(+ x (* 1/2 (fabs (* -1 (+ x (* -1 y)))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (* -1 x)) y))) (pow y 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) y) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) y) (/ (pow x 3) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)) (* -1 x)) y))) (pow y 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y)) y)) (*.f64 y y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 237 |
| 0 | 64 | 152 |
| 1 | 269 | 124 |
| 2 | 2024 | 124 |
| 0 | 8232 | 124 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) |
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64)) |
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64))) |
(/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))) |
(/.f64 (fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(+.f64 x (/.f64 (fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))) (pow.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (*.f64 x x)) (fma.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))))))) |
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(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (*.f64 x x)) (fma.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1 binary64))) |
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1 binary64)) x) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64)) x) |
(fma.f64 (pow.f64 (fabs.f64 (+.f64 y x)) #s(literal -1 binary64)) (/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 2 binary64)) x) |
(fma.f64 (pow.f64 (fabs.f64 (+.f64 y x)) #s(literal -1 binary64)) (*.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 (neg.f64 (fabs.f64 (-.f64 y x))) #s(literal -1/2 binary64) x) |
(fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (/.f64 (fabs.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y)))) #s(literal 2 binary64)) x) |
(fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y)))) #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))))) |
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 y y (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 y y)) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(fma.f64 y y (*.f64 (neg.f64 x) x)) |
(fma.f64 x (neg.f64 x) (*.f64 y y)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)))) |
(-.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 (fabs.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (fabs.f64 (-.f64 (*.f64 y y) (*.f64 (+.f64 y x) x)))) |
(*.f64 (fabs.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64))) #s(literal -1 binary64))) (fabs.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (+.f64 y x) x)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) x (*.f64 (neg.f64 y) y))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (+.f64 y x) x)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (+.f64 y x) x)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(pow.f64 (/.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fabs.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)))) |
(fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal -1/2 binary64) (*.f64 (log.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal -1 binary64))) |
Compiled 23 481 to 3 615 computations (84.6% saved)
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 844 | 10 | 854 |
| Fresh | 5 | 0 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 852 | 12 | 864 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.5% | (fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))))) #s(literal 1/2 binary64) x) |
| ▶ | 51.0% | (fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y)))) #s(literal 1/2 binary64)) x) |
| ✓ | 99.9% | (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
| 88.5% | (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) | |
| ▶ | 58.1% | (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
| ▶ | 73.7% | (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))) |
| 52.2% | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)))) | |
| 99.3% | (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) | |
| 51.0% | (+.f64 x (/.f64 (fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) x (*.f64 y y)))))) #s(literal 2 binary64))) | |
| ✓ | 99.7% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) |
| 73.6% | (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))) |
Compiled 361 to 239 computations (33.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fabs.f64 (-.f64 y x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) | |
| cost-diff | 0 | (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (fma.f64 (+.f64 y x) x (*.f64 y y)) | |
| cost-diff | 0 | (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) | |
| cost-diff | 2944 | (fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y)))) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | (fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y)))) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))))) #s(literal 1/2 binary64) x) | |
| cost-diff | 832 | (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- x y) (neg.f64 y)) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- x y) (neg.f64 y))) | |
| cost-diff | 0 | (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (fabs.f64 (-.f64 y x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 271 |
| 0 | 61 | 228 |
| 1 | 98 | 216 |
| 2 | 164 | 216 |
| 3 | 299 | 216 |
| 4 | 791 | 216 |
| 5 | 2238 | 216 |
| 6 | 4380 | 216 |
| 7 | 7456 | 216 |
| 0 | 8022 | 216 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
#s(literal 1/2 binary64) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
x |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
(fabs.f64 #s(approx (- x y) (neg.f64 y))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(literal 1/2 binary64) |
x |
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))))) #s(literal 1/2 binary64) x) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))))) |
#s(literal 1 binary64) |
(fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y)))) |
(/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))) |
(+.f64 y x) |
y |
x |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(-.f64 x y) |
#s(literal 1/2 binary64) |
(fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y)))) #s(literal 1/2 binary64)) x) |
(fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fma.f64 (+.f64 y x) x (*.f64 y y)) |
(+.f64 y x) |
y |
x |
(*.f64 y y) |
(*.f64 (fabs.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y)))) #s(literal 1/2 binary64)) |
(fabs.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(-.f64 y x) |
#s(literal 1/2 binary64) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
#s(literal 1/2 binary64) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
x |
#s(literal -1/2 binary64) |
#s(literal -2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(fabs.f64 (-.f64 y x)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
y |
x |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
(fabs.f64 #s(approx (- x y) (neg.f64 y))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(literal 1/2 binary64) |
x |
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))))) #s(literal 1/2 binary64) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))))) |
(fabs.f64 (-.f64 x y)) |
#s(literal 1 binary64) |
(fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y)))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y))) |
(/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))) |
(/.f64 #s(literal -1 binary64) (-.f64 y x)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(-.f64 x y) |
#s(literal 1/2 binary64) |
(fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y)))) #s(literal 1/2 binary64)) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) |
(fma.f64 (+.f64 y x) x (*.f64 y y)) |
(fma.f64 (+.f64 x y) x (*.f64 y y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(*.f64 y y) |
(*.f64 (fabs.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y)))) #s(literal 1/2 binary64)) |
(*.f64 (fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y)))) #s(literal 1/2 binary64)) |
(fabs.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(/.f64 (-.f64 y x) (fma.f64 (+.f64 x y) x (*.f64 y y))) |
(-.f64 y x) |
#s(literal 1/2 binary64) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(fabs.f64 (-.f64 y x)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
y |
x |
#s(literal -1/2 binary64) |
#s(literal -2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fabs.f64 (-.f64 y x)) | |
| accuracy | 0.05859375 | (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) | |
| accuracy | 0.05859375 | (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1/2 binary64)) | |
| accuracy | 0.34802631837909415 | (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| accuracy | 0.0 | (fabs.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y)))) | |
| accuracy | 0.00390625 | (fma.f64 (+.f64 y x) x (*.f64 y y)) | |
| accuracy | 20.23378010305298 | (fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y)))) #s(literal 1/2 binary64)) x) | |
| accuracy | 20.37427871408646 | (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) | |
| accuracy | 0.0 | (fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y)))) | |
| accuracy | 0.05859375 | (fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))))) #s(literal 1/2 binary64) x) | |
| accuracy | 0.1328125 | (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))))) | |
| accuracy | 20.366466273681056 | (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.0 | (fabs.f64 #s(approx (- x y) (neg.f64 y))) | |
| accuracy | 0.05859375 | (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) | |
| accuracy | 16.115863840514226 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 0.0 | (fabs.f64 (-.f64 y x)) | |
| accuracy | 0.05859375 | (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) | |
| accuracy | 0.08984375 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) | |
| accuracy | 0.171875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))) |
| 63.0ms | 170× | 0 | valid |
| 46.0ms | 8× | 3 | valid |
| 16.0ms | 66× | 0 | invalid |
| 5.0ms | 9× | 1 | valid |
| 3.0ms | 3× | 2 | valid |
Compiled 551 to 69 computations (87.5% saved)
adjust: 25.0ms (30.4% of total)ival-mult: 13.0ms (15.8% of total)ival-add: 12.0ms (14.6% of total)ival-pow: 11.0ms (13.4% of total)ival-div: 9.0ms (10.9% of total)ival-fabs: 7.0ms (8.5% of total)ival-sub: 3.0ms (3.6% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
(fabs.f64 (-.f64 y x)) |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
(fabs.f64 #s(approx (- x y) (neg.f64 y))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))))) |
(/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))))) #s(literal 1/2 binary64) x) |
(fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y)))) |
(fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y)))) #s(literal 1/2 binary64)) x) |
(fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fma.f64 (+.f64 y x) x (*.f64 y y)) |
(+.f64 y x) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1/2 binary64)) |
(/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fabs.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
| Outputs |
|---|
(* 1/2 (fabs (- y x))) |
(+ x (* 1/2 (fabs (- y x)))) |
(/ 2 (fabs (- y x))) |
(+ (* -4 (/ x (pow (fabs (- y x)) 2))) (* 2 (/ 1 (fabs (- y x))))) |
(+ (* x (- (* 8 (/ x (pow (fabs (- y x)) 3))) (* 4 (/ 1 (pow (fabs (- y x)) 2))))) (* 2 (/ 1 (fabs (- y x))))) |
(+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- y x)) 4))) (* 8 (/ 1 (pow (fabs (- y x)) 3))))) (* 4 (/ 1 (pow (fabs (- y x)) 2))))) (* 2 (/ 1 (fabs (- y x))))) |
(fabs (- y x)) |
(* 1/2 (fabs (- x y))) |
(+ x (* 1/2 (fabs (- x y)))) |
(fabs (- x y)) |
(* -1 y) |
(- x y) |
(/ 1 (fabs (/ 1 (- x y)))) |
(/ -1 y) |
(- (* -1 (/ x (pow y 2))) (/ 1 y)) |
(- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(/ 1/2 (fabs (/ 1 (- x y)))) |
(+ x (* 1/2 (/ 1 (fabs (/ 1 (- x y)))))) |
(fabs (/ 1 (- x y))) |
(* 1/2 (* (fabs (+ (* x (+ x y)) (pow y 2))) (fabs (/ (- y x) (+ (* x (+ x y)) (pow y 2)))))) |
(+ x (* 1/2 (* (fabs (+ (* x (+ x y)) (pow y 2))) (fabs (/ (- y x) (+ (* x (+ x y)) (pow y 2))))))) |
(fabs (+ (* x (+ x y)) (pow y 2))) |
(pow y 2) |
(+ (* x y) (pow y 2)) |
(+ (* x (+ x y)) (pow y 2)) |
y |
(+ x y) |
(* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2)) |
(+ (* -2 (* (/ x (sqrt 2)) (sqrt (/ 1 (pow (fabs (- y x)) 3))))) (* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2))) |
(+ (* x (+ (* -2 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (sqrt 2)))) (* 1/2 (* (/ (* x (- (* 8 (/ 1 (pow (fabs (- y x)) 3))) (* 4 (/ 1 (* (pow (fabs (- y x)) 3) (pow (sqrt 2) 2)))))) (sqrt 2)) (sqrt (fabs (- y x))))))) (* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2))) |
(+ (* x (+ (* -2 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (sqrt 2)))) (* x (+ (* -1/2 (* (/ (* x (+ (* -2 (/ (- (* 8 (/ 1 (pow (fabs (- y x)) 3))) (* 4 (/ 1 (* (pow (fabs (- y x)) 3) (pow (sqrt 2) 2))))) (* (fabs (- y x)) (pow (sqrt 2) 2)))) (* 16 (/ 1 (pow (fabs (- y x)) 4))))) (sqrt 2)) (sqrt (fabs (- y x))))) (* 1/2 (* (sqrt (fabs (- y x))) (/ (- (* 8 (/ 1 (pow (fabs (- y x)) 3))) (* 4 (/ 1 (* (pow (fabs (- y x)) 3) (pow (sqrt 2) 2))))) (sqrt 2)))))))) (* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2))) |
(/ 1 y) |
(+ (* -2 (/ x (pow y 2))) (/ 1 y)) |
(+ (* x (- (/ x (pow y 3)) (* 2 (/ 1 (pow y 2))))) (/ 1 y)) |
(+ (* x (- (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (* 2 (/ 1 (pow y 2))))) (/ 1 y)) |
(fabs (/ (- y x) (+ (* x (+ x y)) (pow y 2)))) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(/ 1 x) |
(/ (+ 1 (* -1/2 (/ (fabs (- y x)) x))) x) |
(/ (- (+ 1 (* 1/4 (/ (pow (fabs (- y x)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- y x)) x))) x) |
(/ (- (+ 1 (* -1/8 (/ (pow (fabs (- y x)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- y x)) 2) (pow x 2))) (* 1/2 (/ (fabs (- y x)) x)))) x) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(/ (+ 1 (/ y x)) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) x) |
(/ (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x) |
(* x (+ 1 (* 1/2 (/ 1 (* x (fabs (/ 1 (- x y)))))))) |
(* x (+ 1 (* 1/2 (/ (* (fabs (+ (* x y) (+ (pow x 2) (pow y 2)))) (fabs (/ (- y x) (+ (* x y) (+ (pow x 2) (pow y 2)))))) x)))) |
(fabs (+ (* x y) (+ (pow x 2) (pow y 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (/ y x))) |
(sqrt (/ 1 x)) |
(+ (sqrt (/ 1 x)) (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- y x))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- y x)))) (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (- y x)) 2))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ (* 1/16 (* x (pow (fabs (- y x)) 2))) (* 1/8 (pow (fabs (- y x)) 3))))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- y x)))) (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (- y x)) 2)))))) |
(/ -1 x) |
(/ (- (/ y x) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (* (pow y 2) (- y (* -1 y)))) (pow x 3))) (/ y x)) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (* y (- y (* -1 y))) (pow x 2)))))) x) |
(fabs (/ (- y x) (+ (* x y) (+ (pow x 2) (pow y 2))))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(* -1 (/ (- (* 1/2 (/ (fabs (+ y (* -1 x))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (+ y (* -1 x))) 2) x)) (* 1/2 (fabs (+ y (* -1 x))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (+ y (* -1 x))) 3) x)) (* 1/4 (pow (fabs (+ y (* -1 x))) 2))) x)) (* 1/2 (fabs (+ y (* -1 x))))) x)) 1) x)) |
(fabs (+ y (* -1 x))) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(fabs (neg (+ y (* -1 x)))) |
(* -1 (* x (- (/ y x) 1))) |
(/ 1 (fabs (/ -1 (+ y (* -1 x))))) |
(* -1 (/ (- (* -1 (/ y x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x)) |
(* x (+ 1 (* 1/2 (/ 1 (* x (fabs (/ -1 (+ y (* -1 x))))))))) |
(fabs (/ -1 (+ y (* -1 x)))) |
(* -1 (* x (- (* -1/2 (/ (* (fabs (+ (* x (- y (* -1 x))) (pow y 2))) (fabs (/ (+ y (* -1 x)) (+ (* x (- y (* -1 x))) (pow y 2))))) x)) 1))) |
(fabs (+ (* x (- y (* -1 x))) (pow y 2))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (+ y (* -1 x))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (+ y (* -1 x))))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (+ y (* -1 x))) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (pow (fabs (+ y (* -1 x))) 2))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1/16 (/ (* x (pow (fabs (+ y (* -1 x))) 2)) (pow (sqrt -1) 2))) (* 1/8 (pow (fabs (+ y (* -1 x))) 3)))))) (pow x 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (+ y (* -1 x))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (/ (+ 1 (* -1 (/ (- y (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (+ (* -1 (/ (* y (- y (* -1 y))) x)) (/ (pow y 2) x))) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (+ (/ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x) (/ (* (pow y 2) (- y (* -1 y))) x)) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x))) (* -1 y)) x))) x)) |
(fabs (/ (+ y (* -1 x)) (+ (* x (- y (* -1 x))) (pow y 2)))) |
(/ 1 (+ x (* 1/2 (fabs (- y x))))) |
(+ x (* -1 y)) |
(+ (/ 1 x) (/ y (pow x 2))) |
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)) |
(+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* x y) (pow x 2)) |
(+ (* y (+ x y)) (pow x 2)) |
(sqrt (/ 1 (+ x (* 1/2 (fabs (- y x)))))) |
(- (* 2 (/ y (pow x 2))) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)) |
(- (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)) |
(* y (- (/ x y) 1)) |
(/ (- (* -1 (/ x y)) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y) |
(/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y) |
(* (pow y 2) (+ 1 (/ x y))) |
(* (pow y 2) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (/ x y))) |
(/ (- (+ 1 (* -1 (/ x y))) (/ x y)) y) |
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* x (- (* -1 x) x)) (pow x 2)) (pow y 2))))) (/ x y)) y) |
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (* x (+ (* x (- (* -1 x) x)) (pow x 2)))) (* (pow x 2) (- (* -1 x) x))) (pow y 3))))) (+ (/ x y) (+ (/ (* x (- (* -1 x) x)) (pow y 2)) (/ (pow x 2) (pow y 2))))) y) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))) |
(fabs (neg (+ x (* -1 y)))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fabs (+ x (* -1 y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(/ 1 (fabs (/ 1 (+ x (* -1 y))))) |
(* -1 (/ (+ 1 (/ x y)) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) y)) |
(+ x (* 1/2 (/ 1 (fabs (/ 1 (+ x (* -1 y))))))) |
(fabs (/ 1 (+ x (* -1 y)))) |
(+ x (* 1/2 (* (fabs (* -1 (/ (+ x (* -1 y)) (+ (* x (- x (* -1 y))) (pow y 2))))) (fabs (+ (* x (- x (* -1 y))) (pow y 2)))))) |
(fabs (+ (* x (- x (* -1 y))) (pow y 2))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(sqrt (/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))) |
(* -1 (/ (- (/ x y) (+ 1 (* -1 (/ x y)))) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)) y))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (+ (* -1 (/ (+ (* x (+ (* -1 (* x (- x (* -1 x)))) (pow x 2))) (* (pow x 2) (- x (* -1 x)))) y)) (pow x 2))) y))) y)) 1) y)) |
(fabs (* -1 (/ (+ x (* -1 y)) (+ (* x (- x (* -1 y))) (pow y 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | y | @ | -inf | ((/ 1 (/ 1 (+ (* 1/2 (fabs (- y x))) x))) (/ 1 (+ (* 1/2 (fabs (- y x))) x)) (+ (* 1/2 (fabs (- y x))) x) (fabs (- y x)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (/ 1 (fabs (/ (+ y x) (* (+ y x) (- x y))))) (/ (+ y x) (* (+ y x) (- x y))) (+ (* (/ 1 (fabs (/ (+ y x) (* (+ y x) (- x y))))) 1/2) x) (fabs (/ (+ y x) (* (+ y x) (- x y)))) (+ (* (fabs (+ (* (+ y x) x) (* y y))) (* (fabs (/ (- y x) (+ (* (+ y x) x) (* y y)))) 1/2)) x) (fabs (+ (* (+ y x) x) (* y y))) (+ (* (+ y x) x) (* y y)) (+ y x) (pow (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) -2) (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (/ (- y x) (+ (* (+ y x) x) (* y y))) (fabs (/ (- y x) (+ (* (+ y x) x) (* y y))))) |
| 11.0ms | y | @ | inf | ((/ 1 (/ 1 (+ (* 1/2 (fabs (- y x))) x))) (/ 1 (+ (* 1/2 (fabs (- y x))) x)) (+ (* 1/2 (fabs (- y x))) x) (fabs (- y x)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (/ 1 (fabs (/ (+ y x) (* (+ y x) (- x y))))) (/ (+ y x) (* (+ y x) (- x y))) (+ (* (/ 1 (fabs (/ (+ y x) (* (+ y x) (- x y))))) 1/2) x) (fabs (/ (+ y x) (* (+ y x) (- x y)))) (+ (* (fabs (+ (* (+ y x) x) (* y y))) (* (fabs (/ (- y x) (+ (* (+ y x) x) (* y y)))) 1/2)) x) (fabs (+ (* (+ y x) x) (* y y))) (+ (* (+ y x) x) (* y y)) (+ y x) (pow (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) -2) (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (/ (- y x) (+ (* (+ y x) x) (* y y))) (fabs (/ (- y x) (+ (* (+ y x) x) (* y y))))) |
| 5.0ms | y | @ | 0 | ((/ 1 (/ 1 (+ (* 1/2 (fabs (- y x))) x))) (/ 1 (+ (* 1/2 (fabs (- y x))) x)) (+ (* 1/2 (fabs (- y x))) x) (fabs (- y x)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (/ 1 (fabs (/ (+ y x) (* (+ y x) (- x y))))) (/ (+ y x) (* (+ y x) (- x y))) (+ (* (/ 1 (fabs (/ (+ y x) (* (+ y x) (- x y))))) 1/2) x) (fabs (/ (+ y x) (* (+ y x) (- x y)))) (+ (* (fabs (+ (* (+ y x) x) (* y y))) (* (fabs (/ (- y x) (+ (* (+ y x) x) (* y y)))) 1/2)) x) (fabs (+ (* (+ y x) x) (* y y))) (+ (* (+ y x) x) (* y y)) (+ y x) (pow (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) -2) (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (/ (- y x) (+ (* (+ y x) x) (* y y))) (fabs (/ (- y x) (+ (* (+ y x) x) (* y y))))) |
| 4.0ms | x | @ | 0 | ((/ 1 (/ 1 (+ (* 1/2 (fabs (- y x))) x))) (/ 1 (+ (* 1/2 (fabs (- y x))) x)) (+ (* 1/2 (fabs (- y x))) x) (fabs (- y x)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (/ 1 (fabs (/ (+ y x) (* (+ y x) (- x y))))) (/ (+ y x) (* (+ y x) (- x y))) (+ (* (/ 1 (fabs (/ (+ y x) (* (+ y x) (- x y))))) 1/2) x) (fabs (/ (+ y x) (* (+ y x) (- x y)))) (+ (* (fabs (+ (* (+ y x) x) (* y y))) (* (fabs (/ (- y x) (+ (* (+ y x) x) (* y y)))) 1/2)) x) (fabs (+ (* (+ y x) x) (* y y))) (+ (* (+ y x) x) (* y y)) (+ y x) (pow (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) -2) (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (/ (- y x) (+ (* (+ y x) x) (* y y))) (fabs (/ (- y x) (+ (* (+ y x) x) (* y y))))) |
| 4.0ms | x | @ | -inf | ((/ 1 (/ 1 (+ (* 1/2 (fabs (- y x))) x))) (/ 1 (+ (* 1/2 (fabs (- y x))) x)) (+ (* 1/2 (fabs (- y x))) x) (fabs (- y x)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (/ 1 (fabs (/ (+ y x) (* (+ y x) (- x y))))) (/ (+ y x) (* (+ y x) (- x y))) (+ (* (/ 1 (fabs (/ (+ y x) (* (+ y x) (- x y))))) 1/2) x) (fabs (/ (+ y x) (* (+ y x) (- x y)))) (+ (* (fabs (+ (* (+ y x) x) (* y y))) (* (fabs (/ (- y x) (+ (* (+ y x) x) (* y y)))) 1/2)) x) (fabs (+ (* (+ y x) x) (* y y))) (+ (* (+ y x) x) (* y y)) (+ y x) (pow (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) -2) (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (/ (- y x) (+ (* (+ y x) x) (* y y))) (fabs (/ (- y x) (+ (* (+ y x) x) (* y y))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 571 | 2209 |
| 1 | 1703 | 2065 |
| 2 | 4651 | 1927 |
| 0 | 8375 | 1803 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (fabs (- y x))) |
(+ x (* 1/2 (fabs (- y x)))) |
(/ 2 (fabs (- y x))) |
(+ (* -4 (/ x (pow (fabs (- y x)) 2))) (* 2 (/ 1 (fabs (- y x))))) |
(+ (* x (- (* 8 (/ x (pow (fabs (- y x)) 3))) (* 4 (/ 1 (pow (fabs (- y x)) 2))))) (* 2 (/ 1 (fabs (- y x))))) |
(+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- y x)) 4))) (* 8 (/ 1 (pow (fabs (- y x)) 3))))) (* 4 (/ 1 (pow (fabs (- y x)) 2))))) (* 2 (/ 1 (fabs (- y x))))) |
(fabs (- y x)) |
(* 1/2 (fabs (- x y))) |
(+ x (* 1/2 (fabs (- x y)))) |
(fabs (- x y)) |
(* -1 y) |
(- x y) |
(/ 1 (fabs (/ 1 (- x y)))) |
(/ -1 y) |
(- (* -1 (/ x (pow y 2))) (/ 1 y)) |
(- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(/ 1/2 (fabs (/ 1 (- x y)))) |
(+ x (* 1/2 (/ 1 (fabs (/ 1 (- x y)))))) |
(fabs (/ 1 (- x y))) |
(* 1/2 (* (fabs (+ (* x (+ x y)) (pow y 2))) (fabs (/ (- y x) (+ (* x (+ x y)) (pow y 2)))))) |
(+ x (* 1/2 (* (fabs (+ (* x (+ x y)) (pow y 2))) (fabs (/ (- y x) (+ (* x (+ x y)) (pow y 2))))))) |
(fabs (+ (* x (+ x y)) (pow y 2))) |
(pow y 2) |
(+ (* x y) (pow y 2)) |
(+ (* x (+ x y)) (pow y 2)) |
y |
(+ x y) |
(* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2)) |
(+ (* -2 (* (/ x (sqrt 2)) (sqrt (/ 1 (pow (fabs (- y x)) 3))))) (* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2))) |
(+ (* x (+ (* -2 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (sqrt 2)))) (* 1/2 (* (/ (* x (- (* 8 (/ 1 (pow (fabs (- y x)) 3))) (* 4 (/ 1 (* (pow (fabs (- y x)) 3) (pow (sqrt 2) 2)))))) (sqrt 2)) (sqrt (fabs (- y x))))))) (* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2))) |
(+ (* x (+ (* -2 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (sqrt 2)))) (* x (+ (* -1/2 (* (/ (* x (+ (* -2 (/ (- (* 8 (/ 1 (pow (fabs (- y x)) 3))) (* 4 (/ 1 (* (pow (fabs (- y x)) 3) (pow (sqrt 2) 2))))) (* (fabs (- y x)) (pow (sqrt 2) 2)))) (* 16 (/ 1 (pow (fabs (- y x)) 4))))) (sqrt 2)) (sqrt (fabs (- y x))))) (* 1/2 (* (sqrt (fabs (- y x))) (/ (- (* 8 (/ 1 (pow (fabs (- y x)) 3))) (* 4 (/ 1 (* (pow (fabs (- y x)) 3) (pow (sqrt 2) 2))))) (sqrt 2)))))))) (* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2))) |
(/ 1 y) |
(+ (* -2 (/ x (pow y 2))) (/ 1 y)) |
(+ (* x (- (/ x (pow y 3)) (* 2 (/ 1 (pow y 2))))) (/ 1 y)) |
(+ (* x (- (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (* 2 (/ 1 (pow y 2))))) (/ 1 y)) |
(fabs (/ (- y x) (+ (* x (+ x y)) (pow y 2)))) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(/ 1 x) |
(/ (+ 1 (* -1/2 (/ (fabs (- y x)) x))) x) |
(/ (- (+ 1 (* 1/4 (/ (pow (fabs (- y x)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- y x)) x))) x) |
(/ (- (+ 1 (* -1/8 (/ (pow (fabs (- y x)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- y x)) 2) (pow x 2))) (* 1/2 (/ (fabs (- y x)) x)))) x) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(/ (+ 1 (/ y x)) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) x) |
(/ (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x) |
(* x (+ 1 (* 1/2 (/ 1 (* x (fabs (/ 1 (- x y)))))))) |
(* x (+ 1 (* 1/2 (/ (* (fabs (+ (* x y) (+ (pow x 2) (pow y 2)))) (fabs (/ (- y x) (+ (* x y) (+ (pow x 2) (pow y 2)))))) x)))) |
(fabs (+ (* x y) (+ (pow x 2) (pow y 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (/ y x))) |
(sqrt (/ 1 x)) |
(+ (sqrt (/ 1 x)) (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- y x))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- y x)))) (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (- y x)) 2))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ (* 1/16 (* x (pow (fabs (- y x)) 2))) (* 1/8 (pow (fabs (- y x)) 3))))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- y x)))) (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (- y x)) 2)))))) |
(/ -1 x) |
(/ (- (/ y x) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (* (pow y 2) (- y (* -1 y)))) (pow x 3))) (/ y x)) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (* y (- y (* -1 y))) (pow x 2)))))) x) |
(fabs (/ (- y x) (+ (* x y) (+ (pow x 2) (pow y 2))))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(* -1 (/ (- (* 1/2 (/ (fabs (+ y (* -1 x))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (+ y (* -1 x))) 2) x)) (* 1/2 (fabs (+ y (* -1 x))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (+ y (* -1 x))) 3) x)) (* 1/4 (pow (fabs (+ y (* -1 x))) 2))) x)) (* 1/2 (fabs (+ y (* -1 x))))) x)) 1) x)) |
(fabs (+ y (* -1 x))) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(fabs (neg (+ y (* -1 x)))) |
(* -1 (* x (- (/ y x) 1))) |
(/ 1 (fabs (/ -1 (+ y (* -1 x))))) |
(* -1 (/ (- (* -1 (/ y x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x)) |
(* x (+ 1 (* 1/2 (/ 1 (* x (fabs (/ -1 (+ y (* -1 x))))))))) |
(fabs (/ -1 (+ y (* -1 x)))) |
(* -1 (* x (- (* -1/2 (/ (* (fabs (+ (* x (- y (* -1 x))) (pow y 2))) (fabs (/ (+ y (* -1 x)) (+ (* x (- y (* -1 x))) (pow y 2))))) x)) 1))) |
(fabs (+ (* x (- y (* -1 x))) (pow y 2))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (+ y (* -1 x))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (+ y (* -1 x))))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (+ y (* -1 x))) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (pow (fabs (+ y (* -1 x))) 2))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1/16 (/ (* x (pow (fabs (+ y (* -1 x))) 2)) (pow (sqrt -1) 2))) (* 1/8 (pow (fabs (+ y (* -1 x))) 3)))))) (pow x 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (+ y (* -1 x))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (/ (+ 1 (* -1 (/ (- y (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (+ (* -1 (/ (* y (- y (* -1 y))) x)) (/ (pow y 2) x))) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (+ (/ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x) (/ (* (pow y 2) (- y (* -1 y))) x)) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x))) (* -1 y)) x))) x)) |
(fabs (/ (+ y (* -1 x)) (+ (* x (- y (* -1 x))) (pow y 2)))) |
(/ 1 (+ x (* 1/2 (fabs (- y x))))) |
(+ x (* -1 y)) |
(+ (/ 1 x) (/ y (pow x 2))) |
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)) |
(+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* x y) (pow x 2)) |
(+ (* y (+ x y)) (pow x 2)) |
(sqrt (/ 1 (+ x (* 1/2 (fabs (- y x)))))) |
(- (* 2 (/ y (pow x 2))) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)) |
(- (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)) |
(* y (- (/ x y) 1)) |
(/ (- (* -1 (/ x y)) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y) |
(/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y) |
(* (pow y 2) (+ 1 (/ x y))) |
(* (pow y 2) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (/ x y))) |
(/ (- (+ 1 (* -1 (/ x y))) (/ x y)) y) |
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* x (- (* -1 x) x)) (pow x 2)) (pow y 2))))) (/ x y)) y) |
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (* x (+ (* x (- (* -1 x) x)) (pow x 2)))) (* (pow x 2) (- (* -1 x) x))) (pow y 3))))) (+ (/ x y) (+ (/ (* x (- (* -1 x) x)) (pow y 2)) (/ (pow x 2) (pow y 2))))) y) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))) |
(fabs (neg (+ x (* -1 y)))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fabs (+ x (* -1 y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(/ 1 (fabs (/ 1 (+ x (* -1 y))))) |
(* -1 (/ (+ 1 (/ x y)) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) y)) |
(+ x (* 1/2 (/ 1 (fabs (/ 1 (+ x (* -1 y))))))) |
(fabs (/ 1 (+ x (* -1 y)))) |
(+ x (* 1/2 (* (fabs (* -1 (/ (+ x (* -1 y)) (+ (* x (- x (* -1 y))) (pow y 2))))) (fabs (+ (* x (- x (* -1 y))) (pow y 2)))))) |
(fabs (+ (* x (- x (* -1 y))) (pow y 2))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(sqrt (/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))) |
(* -1 (/ (- (/ x y) (+ 1 (* -1 (/ x y)))) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)) y))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (+ (* -1 (/ (+ (* x (+ (* -1 (* x (- x (* -1 x)))) (pow x 2))) (* (pow x 2) (- x (* -1 x)))) y)) (pow x 2))) y))) y)) 1) y)) |
(fabs (* -1 (/ (+ x (* -1 y)) (+ (* x (- x (* -1 y))) (pow y 2))))) |
| Outputs |
|---|
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(/ 2 (fabs (- y x))) |
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) |
(+ (* -4 (/ x (pow (fabs (- y x)) 2))) (* 2 (/ 1 (fabs (- y x))))) |
(fma.f64 (/.f64 x (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) |
(+ (* x (- (* 8 (/ x (pow (fabs (- y x)) 3))) (* 4 (/ 1 (pow (fabs (- y x)) 2))))) (* 2 (/ 1 (fabs (- y x))))) |
(fma.f64 (fma.f64 (/.f64 x (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64))) #s(literal 8 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) x (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) |
(+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- y x)) 4))) (* 8 (/ 1 (pow (fabs (- y x)) 3))))) (* 4 (/ 1 (pow (fabs (- y x)) 2))))) (* 2 (/ 1 (fabs (- y x))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64))) #s(literal -16 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))) x (/.f64 #s(literal -4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) x (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(/ 1 (fabs (/ 1 (- x y)))) |
(fabs.f64 (-.f64 x y)) |
(/ -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) |
(- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y)) |
(- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(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)) |
(/ 1/2 (fabs (/ 1 (- x y)))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(+ x (* 1/2 (/ 1 (fabs (/ 1 (- x y)))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fabs (/ 1 (- x y))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(* 1/2 (* (fabs (+ (* x (+ x y)) (pow y 2))) (fabs (/ (- y x) (+ (* x (+ x y)) (pow y 2)))))) |
(*.f64 (*.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(+ x (* 1/2 (* (fabs (+ (* x (+ x y)) (pow y 2))) (fabs (/ (- y x) (+ (* x (+ x y)) (pow y 2))))))) |
(fma.f64 (*.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y)))) x) |
(fabs (+ (* x (+ x y)) (pow y 2))) |
(fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) |
(pow y 2) |
(*.f64 y y) |
(+ (* x y) (pow y 2)) |
(*.f64 (+.f64 x y) y) |
(+ (* x (+ x y)) (pow y 2)) |
(fma.f64 (+.f64 x y) x (*.f64 y y)) |
y |
(+ x y) |
(+.f64 x y) |
(* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))) |
(+ (* -2 (* (/ x (sqrt 2)) (sqrt (/ 1 (pow (fabs (- y x)) 3))))) (* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2))) |
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))))) |
(+ (* x (+ (* -2 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (sqrt 2)))) (* 1/2 (* (/ (* x (- (* 8 (/ 1 (pow (fabs (- y x)) 3))) (* 4 (/ 1 (* (pow (fabs (- y x)) 3) (pow (sqrt 2) 2)))))) (sqrt 2)) (sqrt (fabs (- y x))))))) (* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64))) x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))))) |
(+ (* x (+ (* -2 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (sqrt 2)))) (* x (+ (* -1/2 (* (/ (* x (+ (* -2 (/ (- (* 8 (/ 1 (pow (fabs (- y x)) 3))) (* 4 (/ 1 (* (pow (fabs (- y x)) 3) (pow (sqrt 2) 2))))) (* (fabs (- y x)) (pow (sqrt 2) 2)))) (* 16 (/ 1 (pow (fabs (- y x)) 4))))) (sqrt 2)) (sqrt (fabs (- y x))))) (* 1/2 (* (sqrt (fabs (- y x))) (/ (- (* 8 (/ 1 (pow (fabs (- y x)) 3))) (* 4 (/ 1 (* (pow (fabs (- y x)) 3) (pow (sqrt 2) 2))))) (sqrt 2)))))))) (* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))) (fabs.f64 (-.f64 x y))) (/.f64 #s(literal 16 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64)))) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) x (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64))) x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -2 (/ x (pow y 2))) (/ 1 y)) |
(fma.f64 #s(literal -2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(+ (* x (- (/ x (pow y 3)) (* 2 (/ 1 (pow y 2))))) (/ 1 y)) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) |
(+ (* x (- (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (* 2 (/ 1 (pow y 2))))) (/ 1 y)) |
(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 -2 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) |
(fabs (/ (- y x) (+ (* x (+ x y)) (pow y 2)))) |
(fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/2 (/ (fabs (- y x)) x))) x) |
(/.f64 (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (* 1/4 (/ (pow (fabs (- y x)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- y x)) x))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) x))) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (* -1/8 (/ (pow (fabs (- y x)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- y x)) 2) (pow x 2))) (* 1/2 (/ (fabs (- y x)) x)))) x) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) x))) x) #s(literal 1 binary64))) x) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(/ (+ 1 (/ y x)) x) |
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) x) |
(/.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x) |
(/.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x) |
(* x (+ 1 (* 1/2 (/ 1 (* x (fabs (/ 1 (- x y)))))))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/2 (/ (* (fabs (+ (* x y) (+ (pow x 2) (pow y 2)))) (fabs (/ (- y x) (+ (* x y) (+ (pow x 2) (pow y 2)))))) x)))) |
(*.f64 (fma.f64 (*.f64 (fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y)))) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(fabs (+ (* x y) (+ (pow x 2) (pow y 2)))) |
(fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (fma.f64 (/.f64 y x) x x) x) |
(* (pow x 2) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(*.f64 x (fma.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) x x)) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(+ (sqrt (/ 1 x)) (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- y x))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (-.f64 x y))) #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (sqrt (/ 1 x)) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- y x)))) (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (- y x)) 2))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64)) (fabs.f64 (-.f64 x y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ (* 1/16 (* x (pow (fabs (- y x)) 2))) (* 1/8 (pow (fabs (- y x)) 3))))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- y x)))) (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (- y x)) 2)))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 1/16 binary64) x))) (fma.f64 (fabs.f64 (-.f64 x y)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64)) (fabs.f64 (-.f64 x y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (/ y x) (+ 1 (* -1 (/ y x)))) x) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal -1 binary64)) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x)))) x) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 y (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64)) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (* (pow y 2) (- y (* -1 y)))) (pow x 3))) (/ y x)) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (* y (- y (* -1 y))) (pow x 2)))))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 y (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64)) (/.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 y (fma.f64 #s(literal -2 binary64) y y)))) (pow.f64 x #s(literal 3 binary64)))) x) |
(fabs (/ (- y x) (+ (* x y) (+ (pow x 2) (pow y 2))))) |
(fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* 1/2 (/ (fabs (+ y (* -1 x))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (+ y (* -1 x))) 2) x)) (* 1/2 (fabs (+ y (* -1 x))))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) x))) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (+ y (* -1 x))) 3) x)) (* 1/4 (pow (fabs (+ y (* -1 x))) 2))) x)) (* 1/2 (fabs (+ y (* -1 x))))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (/.f64 (fma.f64 (/.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) x) #s(literal 1/8 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) (neg.f64 x))) x)) (neg.f64 x)) |
(fabs (+ y (* -1 x))) |
(fabs.f64 (-.f64 x y)) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 x y)) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(/ 1 (fabs (/ -1 (+ y (* -1 x))))) |
(fabs.f64 (-.f64 x y)) |
(* -1 (/ (- (* -1 (/ y x)) 1) x)) |
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x)) |
(/.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 y (/.f64 y x) y)) x) y) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/2 (/ 1 (* x (fabs (/ -1 (+ y (* -1 x))))))))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(fabs (/ -1 (+ y (* -1 x)))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(* -1 (* x (- (* -1/2 (/ (* (fabs (+ (* x (- y (* -1 x))) (pow y 2))) (fabs (/ (+ y (* -1 x)) (+ (* x (- y (* -1 x))) (pow y 2))))) x)) 1))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))) (/.f64 (fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y)))) x) #s(literal -1 binary64)) (neg.f64 x)) |
(fabs (+ (* x (- y (* -1 x))) (pow y 2))) |
(fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)))) |
(*.f64 x (fma.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) x x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (+ y (* -1 x))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (fabs.f64 (-.f64 x y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (+ y (* -1 x))))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (+ y (* -1 x))) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64)) (fabs.f64 (-.f64 x y)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (pow (fabs (+ y (* -1 x))) 2))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1/16 (/ (* x (pow (fabs (+ y (* -1 x))) 2)) (pow (sqrt -1) 2))) (* 1/8 (pow (fabs (+ y (* -1 x))) 3)))))) (pow x 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (+ y (* -1 x))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (fabs.f64 (-.f64 x y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/16 binary64) x) (/.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (/ (+ 1 (* -1 (/ (- y (* -1 y)) x))) x)) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal -1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (+ (* -1 (/ (* y (- y (* -1 y))) x)) (/ (pow y 2) x))) (* -1 y)) x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (-.f64 y (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) y)) x)) (neg.f64 x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (+ (/ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x) (/ (* (pow y 2) (- y (* -1 y))) x)) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x))) (* -1 y)) x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 y (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -2 binary64) y y)) (/.f64 y x) (fma.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y (/.f64 y x) y) (*.f64 (neg.f64 y) y))) x)) y) x)) (neg.f64 x)) |
(fabs (/ (+ y (* -1 x)) (+ (* x (- y (* -1 x))) (pow y 2)))) |
(fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(/ 1 (+ x (* 1/2 (fabs (- y x))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ (/ 1 x) (/ y (pow x 2))) |
(+.f64 (/.f64 (/.f64 y x) x) (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)) |
(fma.f64 (+.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* x y) (pow x 2)) |
(*.f64 (+.f64 x y) x) |
(+ (* y (+ x y)) (pow x 2)) |
(fma.f64 (+.f64 x y) x (*.f64 y y)) |
(sqrt (/ 1 (+ x (* 1/2 (fabs (- y x)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))) |
(- (* 2 (/ y (pow x 2))) (/ 1 x)) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal -1 binary64)) x) |
(- (* y (+ (* -1 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)) |
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal -1 binary64) x)) |
(- (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)) |
(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 2 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x)) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (- (* -1 (/ x y)) 1) y) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) y)) y) |
(/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y) |
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) y)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y) |
(* (pow y 2) (+ 1 (/ x y))) |
(*.f64 (fma.f64 (/.f64 x y) y y) y) |
(* (pow y 2) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(*.f64 y (fma.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) y y)) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(/ (- (+ 1 (* -1 (/ x y))) (/ x y)) y) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64)) y) |
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* x (- (* -1 x) x)) (pow x 2)) (pow y 2))))) (/ x y)) y) |
(/.f64 (+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)) y) |
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (* x (+ (* x (- (* -1 x) x)) (pow x 2)))) (* (pow x 2) (- (* -1 x) x))) (pow y 3))))) (+ (/ x y) (+ (/ (* x (- (* -1 x) x)) (pow y 2)) (/ (pow x 2) (pow y 2))))) y) |
(/.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 x y)) (fma.f64 (/.f64 x (*.f64 y y)) (neg.f64 x) (/.f64 x y))) y) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) |
(fabs (neg (+ x (* -1 y)))) |
(fabs.f64 (-.f64 x y)) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 x y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/ 1 (fabs (/ 1 (+ x (* -1 y))))) |
(fabs.f64 (-.f64 x y)) |
(* -1 (/ (+ 1 (/ x y)) y)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) y)) y) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) y)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y) #s(literal 1 binary64)) (neg.f64 y)) |
(+ x (* 1/2 (/ 1 (fabs (/ 1 (+ x (* -1 y))))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fabs (/ 1 (+ x (* -1 y)))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(+ x (* 1/2 (* (fabs (* -1 (/ (+ x (* -1 y)) (+ (* x (- x (* -1 y))) (pow y 2))))) (fabs (+ (* x (- x (* -1 y))) (pow y 2)))))) |
(fma.f64 (*.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y)))) x) |
(fabs (+ (* x (- x (* -1 y))) (pow y 2))) |
(fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)))) |
(*.f64 y (fma.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) y y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(sqrt (/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))) |
(* -1 (/ (- (/ x y) (+ 1 (* -1 (/ x y)))) y)) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)) y))) y)) 1) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 x (/.f64 x y))) y) #s(literal 1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (+ (* -1 (/ (+ (* x (+ (* -1 (* x (- x (* -1 x)))) (pow x 2))) (* (pow x 2) (- x (* -1 x)))) y)) (pow x 2))) y))) y)) 1) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (neg.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) (neg.f64 y))) y) #s(literal 1 binary64)) y) |
(fabs (* -1 (/ (+ x (* -1 y)) (+ (* x (- x (* -1 y))) (pow y 2))))) |
(fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 201 |
| 0 | 61 | 154 |
| 1 | 232 | 142 |
| 2 | 1650 | 142 |
| 0 | 8840 | 142 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
(fabs.f64 (-.f64 y x)) |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
(fabs.f64 #s(approx (- x y) (neg.f64 y))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))))) |
(/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))))) #s(literal 1/2 binary64) x) |
(fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y)))) |
(fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y)))) #s(literal 1/2 binary64)) x) |
(fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fma.f64 (+.f64 y x) x (*.f64 y y)) |
(+.f64 y x) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1/2 binary64)) |
(/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fabs.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (fma.f64 x (-.f64 x (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) (sqrt.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))) |
(*.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))))) |
(*.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))) |
(*.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y))))))) |
(*.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (/.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (log.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))) (/.f64 (neg.f64 (-.f64 y x)) (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(-.f64 (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (-.f64 y x))) #s(literal -1 binary64))) |
(+.f64 (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(*.f64 (fabs.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) (fabs.f64 (-.f64 (*.f64 y y) (*.f64 (+.f64 x y) x)))) |
(*.f64 (fabs.f64 (/.f64 (-.f64 y x) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (+.f64 x y) x)) (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (fabs.f64 (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) (fabs.f64 (-.f64 x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 (pow.f64 (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal -1 binary64)))) |
(*.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(pow.f64 (fabs.f64 (/.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (-.f64 x y))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (-.f64 x y)))) (neg.f64 (neg.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))) (fabs.f64 (+.f64 x y))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 y x) #s(literal 1 binary64))) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 2 binary64)) (*.f64 (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))))))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal 2 binary64))) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64))) (fabs.f64 (*.f64 (+.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(/.f64 (fabs.f64 (-.f64 (*.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))) (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) x))) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal 2 binary64))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (fabs.f64 (-.f64 x y))) (neg.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 y x) (+.f64 x y))) (fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (+.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (/.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (-.f64 x y))))) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (/.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (-.f64 x y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (-.f64 x y)))) |
(fabs.f64 (-.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 0 binary64))) |
(fabs.f64 (/.f64 (neg.f64 (neg.f64 (-.f64 y x))) (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(fabs.f64 (/.f64 (neg.f64 (-.f64 x y)) (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(fabs.f64 (/.f64 (-.f64 x y) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))) |
(fabs.f64 (/.f64 (-.f64 y x) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))) |
(fabs.f64 (*.f64 (neg.f64 (-.f64 x y)) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))) |
(fabs.f64 (neg.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(fabs.f64 (neg.f64 (/.f64 (-.f64 x y) (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))) |
(fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(fabs.f64 (/.f64 (-.f64 x y) (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(fabs.f64 (/.f64 (neg.f64 (-.f64 y x)) (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(fabs.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
Compiled 33 047 to 4 305 computations (87% saved)
12 alts after pruning (8 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 036 | 7 | 1 043 |
| Fresh | 4 | 1 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 043 | 12 | 1 055 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.5% | (fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (fabs.f64 (*.f64 (-.f64 y x) (+.f64 x y))) x) |
| 51.0% | (fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (*.f64 (neg.f64 (fabs.f64 (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))) #s(literal 1/2 binary64)) x) | |
| ▶ | 25.9% | (fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)))) #s(literal 1/2 binary64)) x) |
| ✓ | 99.9% | (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
| ▶ | 88.5% | (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) |
| ✓ | 58.1% | (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
| 73.1% | (pow.f64 (pow.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #s(literal -1/4 binary64)) #s(literal -4 binary64)) | |
| ▶ | 73.6% | (pow.f64 #s(approx (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)) |
| ✓ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))) |
| ▶ | 52.2% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) |
| ✓ | 99.7% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) |
| 73.6% | (*.f64 (sqrt.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) (sqrt.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))) |
Compiled 376 to 256 computations (31.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) | |
| cost-diff | 448 | (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) | |
| cost-diff | 5888 | (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))) | |
| cost-diff | 0 | #s(approx (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)))) | |
| cost-diff | 0 | (pow.f64 #s(approx (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (fma.f64 (+.f64 y x) x (*.f64 y y)) | |
| cost-diff | 0 | (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) | |
| cost-diff | 0 | (fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)))) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (fabs.f64 (+.f64 x y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) | |
| cost-diff | 1664 | (fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (fabs.f64 (*.f64 (-.f64 y x) (+.f64 x y))) x) | |
| cost-diff | 0 | #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) | |
| cost-diff | 0 | (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) | |
| cost-diff | 1024 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 423 |
| 0 | 98 | 438 |
| 1 | 151 | 438 |
| 2 | 244 | 432 |
| 3 | 498 | 414 |
| 4 | 1180 | 390 |
| 5 | 3971 | 390 |
| 0 | 8258 | 385 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) |
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) |
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (fabs.f64 (*.f64 (-.f64 y x) (+.f64 x y))) x) |
(/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) |
#s(literal 1/2 binary64) |
(fabs.f64 (+.f64 x y)) |
(+.f64 x y) |
x |
y |
(fabs.f64 (*.f64 (-.f64 y x) (+.f64 x y))) |
(*.f64 (-.f64 y x) (+.f64 x y)) |
(-.f64 y x) |
(fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)))) #s(literal 1/2 binary64)) x) |
(fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fma.f64 (+.f64 y x) x (*.f64 y y)) |
(+.f64 y x) |
y |
x |
(*.f64 y y) |
(*.f64 (fabs.f64 (/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)))) #s(literal 1/2 binary64)) |
(fabs.f64 (/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)))) |
(/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x))) |
(-.f64 y x) |
#s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(pow.f64 #s(approx (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)) |
#s(approx (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) |
#s(literal 1 binary64) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(literal -2 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
(neg.f64 x) |
(pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) |
(pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/4 binary64) |
(*.f64 (neg.f64 x) x) |
#s(literal -1 binary64) |
| Outputs |
|---|
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (-.f64 x y))) x) |
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) |
(fabs.f64 #s(approx (- x y) (-.f64 x y))) |
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
#s(approx (- x y) (-.f64 x y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(-.f64 x y) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (fabs.f64 (*.f64 (-.f64 y x) (+.f64 x y))) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) |
(/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) |
#s(literal 1/2 binary64) |
(fabs.f64 (+.f64 x y)) |
(fabs.f64 (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
(fabs.f64 (*.f64 (-.f64 y x) (+.f64 x y))) |
(fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) |
(*.f64 (-.f64 y x) (+.f64 x y)) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(-.f64 y x) |
(fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)))) #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (/.f64 (-.f64 x y) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)))) x) |
(fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fma.f64 (+.f64 y x) x (*.f64 y y)) |
(+.f64 y x) |
y |
x |
(*.f64 y y) |
(*.f64 (fabs.f64 (/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)))) #s(literal 1/2 binary64)) |
(*.f64 (fabs.f64 (/.f64 (-.f64 x y) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)))) #s(literal 1/2 binary64)) |
(fabs.f64 (/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)))) |
(fabs.f64 (/.f64 (-.f64 x y) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)))) |
(/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x))) |
(-.f64 y x) |
#s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(pow.f64 #s(approx (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)) |
#s(approx (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) |
#s(literal 1 binary64) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(literal -2 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal -1/2 binary64) x)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal -1/2 binary64) x) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
(neg.f64 x) |
(pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) |
(fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) |
(pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/4 binary64) |
(*.f64 (neg.f64 x) x) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.171875 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) | |
| accuracy | 0.25579541546706264 | (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) | |
| accuracy | 8.062442203245762 | (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) | |
| accuracy | 20.140667184909926 | (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))) | |
| accuracy | 0.05859375 | (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) | |
| accuracy | 0.08984375 | (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) | |
| accuracy | 0.09375 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))) | |
| accuracy | 0.34802631837909415 | (pow.f64 #s(approx (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 (+.f64 y x) x (*.f64 y y)) | |
| accuracy | 20.23378010305298 | (fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)))) #s(literal 1/2 binary64)) x) | |
| accuracy | 20.37427871408646 | (/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x))) | |
| accuracy | 26.49117628133691 | #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)) | |
| accuracy | 0.0 | (fabs.f64 (+.f64 x y)) | |
| accuracy | 0.0 | (fabs.f64 (*.f64 (-.f64 y x) (+.f64 x y))) | |
| accuracy | 0.015625 | (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) | |
| accuracy | 20.22206135305298 | (fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (fabs.f64 (*.f64 (-.f64 y x) (+.f64 x y))) x) | |
| accuracy | 0.0 | (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) | |
| accuracy | 0.0 | #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) | |
| accuracy | 0.05859375 | (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) | |
| accuracy | 7.306490018632396 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
| 279.0ms | 170× | 0 | valid |
| 136.0ms | 8× | 3 | valid |
| 34.0ms | 66× | 0 | invalid |
| 7.0ms | 9× | 1 | valid |
| 4.0ms | 3× | 2 | valid |
Compiled 808 to 111 computations (86.3% saved)
ival-add: 121.0ms (29.5% of total)ival-pow2: 114.0ms (27.8% of total)ival-neg: 110.0ms (26.8% of total)ival-mult: 20.0ms (4.9% of total)ival-pow: 16.0ms (3.9% of total)ival-div: 9.0ms (2.2% of total)ival-fabs: 8.0ms (1.9% of total)adjust: 4.0ms (1% of total)ival-sub: 4.0ms (1% of total)ival-sqrt: 2.0ms (0.5% of total)exact: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) |
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) |
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (fabs.f64 (*.f64 (-.f64 y x) (+.f64 x y))) x) |
(/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) |
(fabs.f64 (+.f64 x y)) |
(+.f64 x y) |
(fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)))) #s(literal 1/2 binary64)) x) |
(fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fma.f64 (+.f64 y x) x (*.f64 y y)) |
(+.f64 y x) |
(pow.f64 #s(approx (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)) |
#s(approx (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) |
(pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) |
(fabs.f64 (*.f64 (-.f64 y x) (+.f64 x y))) |
#s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)) |
(/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) |
| Outputs |
|---|
(* -1 y) |
(+ x (* -1 y)) |
(* 1/2 (fabs (- x y))) |
(+ x (* 1/2 (fabs (- x y)))) |
(fabs (- x y)) |
(- x y) |
(* 1/2 (/ (fabs (* (+ x y) (- y x))) (fabs (+ x y)))) |
(+ x (* 1/2 (/ (fabs (* (+ x y) (- y x))) (fabs (+ x y))))) |
(/ 1/2 (fabs (+ x y))) |
(fabs (+ x y)) |
y |
(+ x y) |
(* 1/2 (* (fabs (+ (* x (+ x y)) (pow y 2))) (fabs (/ (- y x) (+ (* x (+ x y)) (pow y 2)))))) |
(+ x (* 1/2 (* (fabs (+ (* x (+ x y)) (pow y 2))) (fabs (/ (- y x) (+ (* x (+ x y)) (pow y 2))))))) |
(fabs (+ (* x (+ x y)) (pow y 2))) |
(pow y 2) |
(+ (* x y) (pow y 2)) |
(+ (* x (+ x y)) (pow y 2)) |
(* 1/2 (fabs (- y x))) |
(+ x (* 1/2 (fabs (- y x)))) |
(* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2)) |
(+ (* -2 (* (/ x (sqrt 2)) (sqrt (/ 1 (pow (fabs (- y x)) 3))))) (* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2))) |
(+ (* x (+ (* -2 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (sqrt 2)))) (* 1/2 (* (/ (* x (- (* 8 (/ 1 (pow (fabs (- y x)) 3))) (* 4 (/ 1 (* (pow (fabs (- y x)) 3) (pow (sqrt 2) 2)))))) (sqrt 2)) (sqrt (fabs (- y x))))))) (* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2))) |
(+ (* x (+ (* -2 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (sqrt 2)))) (* x (+ (* -1/2 (* (/ (* x (+ (* -2 (/ (- (* 8 (/ 1 (pow (fabs (- y x)) 3))) (* 4 (/ 1 (* (pow (fabs (- y x)) 3) (pow (sqrt 2) 2))))) (* (fabs (- y x)) (pow (sqrt 2) 2)))) (* 16 (/ 1 (pow (fabs (- y x)) 4))))) (sqrt 2)) (sqrt (fabs (- y x))))) (* 1/2 (* (sqrt (fabs (- y x))) (/ (- (* 8 (/ 1 (pow (fabs (- y x)) 3))) (* 4 (/ 1 (* (pow (fabs (- y x)) 3) (pow (sqrt 2) 2))))) (sqrt 2)))))))) (* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2))) |
(* (sqrt (/ 1 (fabs (- x y)))) (sqrt 2)) |
(+ (* -2 (* (/ x (sqrt 2)) (sqrt (/ 1 (pow (fabs (- x y)) 3))))) (* (sqrt (/ 1 (fabs (- x y)))) (sqrt 2))) |
(+ (* x (+ (* -2 (* (sqrt (/ 1 (pow (fabs (- x y)) 3))) (/ 1 (sqrt 2)))) (* 1/2 (* (/ (* x (- (* 8 (/ 1 (pow (fabs (- x y)) 3))) (* 4 (/ 1 (* (pow (fabs (- x y)) 3) (pow (sqrt 2) 2)))))) (sqrt 2)) (sqrt (fabs (- x y))))))) (* (sqrt (/ 1 (fabs (- x y)))) (sqrt 2))) |
(+ (* x (+ (* -2 (* (sqrt (/ 1 (pow (fabs (- x y)) 3))) (/ 1 (sqrt 2)))) (* x (+ (* -1/2 (* (/ (* x (+ (* -2 (/ (- (* 8 (/ 1 (pow (fabs (- x y)) 3))) (* 4 (/ 1 (* (pow (fabs (- x y)) 3) (pow (sqrt 2) 2))))) (* (fabs (- x y)) (pow (sqrt 2) 2)))) (* 16 (/ 1 (pow (fabs (- x y)) 4))))) (sqrt 2)) (sqrt (fabs (- x y))))) (* 1/2 (* (sqrt (fabs (- x y))) (/ (- (* 8 (/ 1 (pow (fabs (- x y)) 3))) (* 4 (/ 1 (* (pow (fabs (- x y)) 3) (pow (sqrt 2) 2))))) (sqrt 2)))))))) (* (sqrt (/ 1 (fabs (- x y)))) (sqrt 2))) |
(/ 2 (fabs (- x y))) |
(+ (* -4 (/ x (pow (fabs (- x y)) 2))) (* 2 (/ 1 (fabs (- x y))))) |
(+ (* x (- (* 8 (/ x (pow (fabs (- x y)) 3))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y))))) |
(+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- x y)) 4))) (* 8 (/ 1 (pow (fabs (- x y)) 3))))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y))))) |
(/ 4 (pow (fabs (- x y)) 2)) |
(+ (* 16 (/ (pow x 2) (pow (fabs (- x y)) 4))) (* 4 (/ 1 (pow (fabs (- x y)) 2)))) |
(+ (* (pow x 2) (+ (* 64 (/ (pow x 2) (pow (fabs (- x y)) 6))) (* 16 (/ 1 (pow (fabs (- x y)) 4))))) (* 4 (/ 1 (pow (fabs (- x y)) 2)))) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 256 (/ (pow x 2) (pow (fabs (- x y)) 8))) (* 64 (/ 1 (pow (fabs (- x y)) 6))))) (* 16 (/ 1 (pow (fabs (- x y)) 4))))) (* 4 (/ 1 (pow (fabs (- x y)) 2)))) |
(+ (* -1 x) (* 1/2 (fabs (- x y)))) |
(fabs (* (+ x y) (- y x))) |
(/ 1 y) |
(+ (* -2 (/ x (pow y 2))) (/ 1 y)) |
(+ (* x (- (/ x (pow y 3)) (* 2 (/ 1 (pow y 2))))) (/ 1 y)) |
(+ (* x (- (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (* 2 (/ 1 (pow y 2))))) (/ 1 y)) |
(* 1/4 (pow (fabs (- x y)) 2)) |
(+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (- x y)) 2))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (* (+ x y) (- y x))) (* x (fabs (+ x y))))))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (* 1/2 (/ (* (fabs (+ (* x y) (+ (pow x 2) (pow y 2)))) (fabs (/ (- y x) (+ (* x y) (+ (pow x 2) (pow y 2)))))) x)))) |
(fabs (+ (* x y) (+ (pow x 2) (pow y 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(sqrt (/ 1 x)) |
(+ (sqrt (/ 1 x)) (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- y x))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- y x)))) (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (- y x)) 2))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ (* 1/16 (* x (pow (fabs (- y x)) 2))) (* 1/8 (pow (fabs (- y x)) 3))))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- y x)))) (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (- y x)) 2)))))) |
(+ (sqrt (/ 1 x)) (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- x y))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- x y)))) (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (- x y)) 2))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ (* 1/16 (* x (pow (fabs (- x y)) 2))) (* 1/8 (pow (fabs (- x y)) 3))))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- x y)))) (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (- x y)) 2)))))) |
(/ 1 x) |
(/ (+ 1 (* -1/2 (/ (fabs (- x y)) x))) x) |
(/ (- (+ 1 (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- x y)) x))) x) |
(/ (- (+ 1 (* -1/8 (/ (pow (fabs (- x y)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))) x) |
(/ -1 (pow x 2)) |
(/ (- (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) 1) (pow x 2)) |
(/ (- (* -1/16 (/ (pow (fabs (- x y)) 4) (pow x 4))) (+ 1 (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))))) (pow x 2)) |
(/ (- (* -1/64 (/ (pow (fabs (- x y)) 6) (pow x 6))) (+ 1 (+ (* 1/16 (/ (pow (fabs (- x y)) 4) (pow x 4))) (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))))) (pow x 2)) |
(/ (+ 1 (+ (* -1/2 (/ (fabs (- x y)) x)) (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))))) x) |
(/ (- (+ 1 (+ (* -1/2 (/ (fabs (- x y)) x)) (* -1/8 (/ (pow (fabs (- x y)) 3) (pow x 3))))) (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))) x) |
(* -1 x) |
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1)) |
(/ -1 x) |
(/ (- (/ y x) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (* (pow y 2) (- y (* -1 y)))) (pow x 3))) (/ y x)) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (* y (- y (* -1 y))) (pow x 2)))))) x) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) 1)) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(fabs (neg (+ y (* -1 x)))) |
(* -1 (* x (- (* -1/2 (/ (fabs (* (+ y (* -1 x)) (- y (* -1 x)))) (* x (fabs (- y (* -1 x)))))) 1))) |
(/ 1/2 (fabs (- y (* -1 x)))) |
(fabs (- y (* -1 x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (* (fabs (+ (* x (- y (* -1 x))) (pow y 2))) (fabs (/ (+ y (* -1 x)) (+ (* x (- y (* -1 x))) (pow y 2))))) x)) 1))) |
(fabs (+ (* x (- y (* -1 x))) (pow y 2))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (+ y (* -1 x))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (+ y (* -1 x))))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (+ y (* -1 x))) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (pow (fabs (+ y (* -1 x))) 2))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1/16 (/ (* x (pow (fabs (+ y (* -1 x))) 2)) (pow (sqrt -1) 2))) (* 1/8 (pow (fabs (+ y (* -1 x))) 3)))))) (pow x 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (+ y (* -1 x))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (neg (+ y (* -1 x)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (neg (+ y (* -1 x)))))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (neg (+ y (* -1 x)))) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (pow (fabs (neg (+ y (* -1 x)))) 2))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1/16 (/ (* x (pow (fabs (neg (+ y (* -1 x)))) 2)) (pow (sqrt -1) 2))) (* 1/8 (pow (fabs (neg (+ y (* -1 x)))) 3)))))) (pow x 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (neg (+ y (* -1 x)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (/ (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (neg (+ y (* -1 x)))) 3) x)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2))) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x)) |
(/ (- (* -1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) (pow x 2))) 1) (pow x 2)) |
(/ (- (* -1/16 (/ (pow (fabs (neg (+ y (* -1 x)))) 4) (pow x 4))) (+ 1 (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) (pow x 2))))) (pow x 2)) |
(/ (- (* -1/64 (/ (pow (fabs (neg (+ y (* -1 x)))) 6) (pow x 6))) (+ 1 (+ (* 1/16 (/ (pow (fabs (neg (+ y (* -1 x)))) 4) (pow x 4))) (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) (pow x 2)))))) (pow x 2)) |
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (fabs (neg (+ y (* -1 x))))) (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (pow (fabs (neg (+ y (* -1 x)))) 3) x)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2))) x)) (* -1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x)) |
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x))))) |
(fabs (* (+ y (* -1 x)) (- y (* -1 x)))) |
(* -1 (/ (+ 1 (* -1 (/ (- y (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (+ (* -1 (/ (* y (- y (* -1 y))) x)) (/ (pow y 2) x))) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (+ (/ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x) (/ (* (pow y 2) (- y (* -1 y))) x)) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x))) (* -1 y)) x))) x)) |
(* (pow x 2) (- (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) (pow x 2))) 1)) |
(+ (* x y) (pow x 2)) |
(+ (* y (+ x y)) (pow x 2)) |
(sqrt (/ 1 (+ x (* 1/2 (fabs (- y x)))))) |
(sqrt (/ 1 (+ x (* 1/2 (fabs (- x y)))))) |
(/ 1 (+ x (* 1/2 (fabs (- x y))))) |
(/ 1 (+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (- x y)) 2)))) |
(/ (+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (- x y)) 2))) (- (* 1/2 (fabs (- x y))) x)) |
(/ (- (* 1/2 (fabs (- x y))) x) (+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (- x y)) 2)))) |
(- (* 1/2 (fabs (- x y))) x) |
(- (* 2 (/ y (pow x 2))) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)) |
(- (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)) |
(* y (- (/ x y) 1)) |
(* y (+ 1 (/ x y))) |
(* (pow y 2) (+ 1 (/ x y))) |
(* (pow y 2) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(/ (- (+ 1 (* -1 (/ x y))) (/ x y)) y) |
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* x (- (* -1 x) x)) (pow x 2)) (pow y 2))))) (/ x y)) y) |
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (* x (+ (* x (- (* -1 x) x)) (pow x 2)))) (* (pow x 2) (- (* -1 x) x))) (pow y 3))))) (+ (/ x y) (+ (/ (* x (- (* -1 x) x)) (pow y 2)) (/ (pow x 2) (pow y 2))))) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fabs (+ x (* -1 y))) |
(+ x (* 1/2 (/ (fabs (* -1 (* (+ x (* -1 y)) (- x (* -1 y))))) (fabs (- x (* -1 y)))))) |
(/ 1/2 (fabs (- x (* -1 y)))) |
(fabs (- x (* -1 y))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ x (* 1/2 (* (fabs (* -1 (/ (+ x (* -1 y)) (+ (* x (- x (* -1 y))) (pow y 2))))) (fabs (+ (* x (- x (* -1 y))) (pow y 2)))))) |
(fabs (+ (* x (- x (* -1 y))) (pow y 2))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(sqrt (/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))) |
(sqrt (/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y))))))) |
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y)))))) |
(/ 1 (+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (+ x (* -1 y))) 2)))) |
(/ (+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (+ x (* -1 y))) 2))) (- (* 1/2 (fabs (+ x (* -1 y)))) x)) |
(/ (- (* 1/2 (fabs (+ x (* -1 y)))) x) (+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (+ x (* -1 y))) 2)))) |
(- (* 1/2 (fabs (+ x (* -1 y)))) x) |
(fabs (* -1 (* (+ x (* -1 y)) (- x (* -1 y))))) |
(* -1 (/ (- (/ x y) (+ 1 (* -1 (/ x y)))) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)) y))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (+ (* -1 (/ (+ (* x (+ (* -1 (* x (- x (* -1 x)))) (pow x 2))) (* (pow x 2) (- x (* -1 x)))) y)) (pow x 2))) y))) y)) 1) y)) |
(+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (+ x (* -1 y))) 2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | y | @ | -inf | ((* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (/ 1/2 (fabs (+ x y))) (fabs (* (- y x) (+ x y)))) x) (/ 1/2 (fabs (+ x y))) (fabs (+ x y)) (+ x y) (+ (* (fabs (+ (* (+ y x) x) (* y y))) (* (fabs (/ (- y x) (+ (* (+ y x) x) (* y y)))) 1/2)) x) (fabs (+ (* (+ y x) x) (* y y))) (+ (* (+ y x) x) (* y y)) (+ y x) (pow (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) -2) (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (sqrt (/ 1 (+ (* (fabs (- x y)) 1/2) x))) (/ 1 (+ (* (fabs (- x y)) 1/2) x)) (pow (+ (* (pow (fabs (- x y)) 2) 1/4) (* (neg x) x)) -1) (/ 1 (* (+ (* (fabs (- x y)) 1/2) (neg x)) (pow (+ (* (pow (fabs (- x y)) 2) 1/4) (* (neg x) x)) -1))) (* (+ (* (fabs (- x y)) 1/2) (neg x)) (pow (+ (* (pow (fabs (- x y)) 2) 1/4) (* (neg x) x)) -1)) (+ (* (fabs (- x y)) 1/2) (neg x)) (fabs (* (- y x) (+ x y))) (+ (* (+ y x) x) (* y y)) (/ (- y x) (+ (* (+ y x) x) (* y y))) (+ (* (fabs (- x y)) 1/2) x) (+ (* (pow (fabs (- x y)) 2) 1/4) (* (neg x) x))) |
| 8.0ms | y | @ | 0 | ((* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (/ 1/2 (fabs (+ x y))) (fabs (* (- y x) (+ x y)))) x) (/ 1/2 (fabs (+ x y))) (fabs (+ x y)) (+ x y) (+ (* (fabs (+ (* (+ y x) x) (* y y))) (* (fabs (/ (- y x) (+ (* (+ y x) x) (* y y)))) 1/2)) x) (fabs (+ (* (+ y x) x) (* y y))) (+ (* (+ y x) x) (* y y)) (+ y x) (pow (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) -2) (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (sqrt (/ 1 (+ (* (fabs (- x y)) 1/2) x))) (/ 1 (+ (* (fabs (- x y)) 1/2) x)) (pow (+ (* (pow (fabs (- x y)) 2) 1/4) (* (neg x) x)) -1) (/ 1 (* (+ (* (fabs (- x y)) 1/2) (neg x)) (pow (+ (* (pow (fabs (- x y)) 2) 1/4) (* (neg x) x)) -1))) (* (+ (* (fabs (- x y)) 1/2) (neg x)) (pow (+ (* (pow (fabs (- x y)) 2) 1/4) (* (neg x) x)) -1)) (+ (* (fabs (- x y)) 1/2) (neg x)) (fabs (* (- y x) (+ x y))) (+ (* (+ y x) x) (* y y)) (/ (- y x) (+ (* (+ y x) x) (* y y))) (+ (* (fabs (- x y)) 1/2) x) (+ (* (pow (fabs (- x y)) 2) 1/4) (* (neg x) x))) |
| 8.0ms | x | @ | 0 | ((* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (/ 1/2 (fabs (+ x y))) (fabs (* (- y x) (+ x y)))) x) (/ 1/2 (fabs (+ x y))) (fabs (+ x y)) (+ x y) (+ (* (fabs (+ (* (+ y x) x) (* y y))) (* (fabs (/ (- y x) (+ (* (+ y x) x) (* y y)))) 1/2)) x) (fabs (+ (* (+ y x) x) (* y y))) (+ (* (+ y x) x) (* y y)) (+ y x) (pow (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) -2) (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (sqrt (/ 1 (+ (* (fabs (- x y)) 1/2) x))) (/ 1 (+ (* (fabs (- x y)) 1/2) x)) (pow (+ (* (pow (fabs (- x y)) 2) 1/4) (* (neg x) x)) -1) (/ 1 (* (+ (* (fabs (- x y)) 1/2) (neg x)) (pow (+ (* (pow (fabs (- x y)) 2) 1/4) (* (neg x) x)) -1))) (* (+ (* (fabs (- x y)) 1/2) (neg x)) (pow (+ (* (pow (fabs (- x y)) 2) 1/4) (* (neg x) x)) -1)) (+ (* (fabs (- x y)) 1/2) (neg x)) (fabs (* (- y x) (+ x y))) (+ (* (+ y x) x) (* y y)) (/ (- y x) (+ (* (+ y x) x) (* y y))) (+ (* (fabs (- x y)) 1/2) x) (+ (* (pow (fabs (- x y)) 2) 1/4) (* (neg x) x))) |
| 6.0ms | x | @ | -inf | ((* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (/ 1/2 (fabs (+ x y))) (fabs (* (- y x) (+ x y)))) x) (/ 1/2 (fabs (+ x y))) (fabs (+ x y)) (+ x y) (+ (* (fabs (+ (* (+ y x) x) (* y y))) (* (fabs (/ (- y x) (+ (* (+ y x) x) (* y y)))) 1/2)) x) (fabs (+ (* (+ y x) x) (* y y))) (+ (* (+ y x) x) (* y y)) (+ y x) (pow (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) -2) (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (sqrt (/ 1 (+ (* (fabs (- x y)) 1/2) x))) (/ 1 (+ (* (fabs (- x y)) 1/2) x)) (pow (+ (* (pow (fabs (- x y)) 2) 1/4) (* (neg x) x)) -1) (/ 1 (* (+ (* (fabs (- x y)) 1/2) (neg x)) (pow (+ (* (pow (fabs (- x y)) 2) 1/4) (* (neg x) x)) -1))) (* (+ (* (fabs (- x y)) 1/2) (neg x)) (pow (+ (* (pow (fabs (- x y)) 2) 1/4) (* (neg x) x)) -1)) (+ (* (fabs (- x y)) 1/2) (neg x)) (fabs (* (- y x) (+ x y))) (+ (* (+ y x) x) (* y y)) (/ (- y x) (+ (* (+ y x) x) (* y y))) (+ (* (fabs (- x y)) 1/2) x) (+ (* (pow (fabs (- x y)) 2) 1/4) (* (neg x) x))) |
| 6.0ms | y | @ | inf | ((* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (/ 1/2 (fabs (+ x y))) (fabs (* (- y x) (+ x y)))) x) (/ 1/2 (fabs (+ x y))) (fabs (+ x y)) (+ x y) (+ (* (fabs (+ (* (+ y x) x) (* y y))) (* (fabs (/ (- y x) (+ (* (+ y x) x) (* y y)))) 1/2)) x) (fabs (+ (* (+ y x) x) (* y y))) (+ (* (+ y x) x) (* y y)) (+ y x) (pow (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) -2) (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (sqrt (/ 1 (+ (* (fabs (- x y)) 1/2) x))) (/ 1 (+ (* (fabs (- x y)) 1/2) x)) (pow (+ (* (pow (fabs (- x y)) 2) 1/4) (* (neg x) x)) -1) (/ 1 (* (+ (* (fabs (- x y)) 1/2) (neg x)) (pow (+ (* (pow (fabs (- x y)) 2) 1/4) (* (neg x) x)) -1))) (* (+ (* (fabs (- x y)) 1/2) (neg x)) (pow (+ (* (pow (fabs (- x y)) 2) 1/4) (* (neg x) x)) -1)) (+ (* (fabs (- x y)) 1/2) (neg x)) (fabs (* (- y x) (+ x y))) (+ (* (+ y x) x) (* y y)) (/ (- y x) (+ (* (+ y x) x) (* y y))) (+ (* (fabs (- x y)) 1/2) x) (+ (* (pow (fabs (- x y)) 2) 1/4) (* (neg x) x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 687 | 3076 |
| 1 | 2072 | 2897 |
| 2 | 5055 | 2751 |
| 0 | 8242 | 2601 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 y) |
(+ x (* -1 y)) |
(* 1/2 (fabs (- x y))) |
(+ x (* 1/2 (fabs (- x y)))) |
(fabs (- x y)) |
(- x y) |
(* 1/2 (/ (fabs (* (+ x y) (- y x))) (fabs (+ x y)))) |
(+ x (* 1/2 (/ (fabs (* (+ x y) (- y x))) (fabs (+ x y))))) |
(/ 1/2 (fabs (+ x y))) |
(fabs (+ x y)) |
y |
(+ x y) |
(* 1/2 (* (fabs (+ (* x (+ x y)) (pow y 2))) (fabs (/ (- y x) (+ (* x (+ x y)) (pow y 2)))))) |
(+ x (* 1/2 (* (fabs (+ (* x (+ x y)) (pow y 2))) (fabs (/ (- y x) (+ (* x (+ x y)) (pow y 2))))))) |
(fabs (+ (* x (+ x y)) (pow y 2))) |
(pow y 2) |
(+ (* x y) (pow y 2)) |
(+ (* x (+ x y)) (pow y 2)) |
(* 1/2 (fabs (- y x))) |
(+ x (* 1/2 (fabs (- y x)))) |
(* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2)) |
(+ (* -2 (* (/ x (sqrt 2)) (sqrt (/ 1 (pow (fabs (- y x)) 3))))) (* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2))) |
(+ (* x (+ (* -2 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (sqrt 2)))) (* 1/2 (* (/ (* x (- (* 8 (/ 1 (pow (fabs (- y x)) 3))) (* 4 (/ 1 (* (pow (fabs (- y x)) 3) (pow (sqrt 2) 2)))))) (sqrt 2)) (sqrt (fabs (- y x))))))) (* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2))) |
(+ (* x (+ (* -2 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (sqrt 2)))) (* x (+ (* -1/2 (* (/ (* x (+ (* -2 (/ (- (* 8 (/ 1 (pow (fabs (- y x)) 3))) (* 4 (/ 1 (* (pow (fabs (- y x)) 3) (pow (sqrt 2) 2))))) (* (fabs (- y x)) (pow (sqrt 2) 2)))) (* 16 (/ 1 (pow (fabs (- y x)) 4))))) (sqrt 2)) (sqrt (fabs (- y x))))) (* 1/2 (* (sqrt (fabs (- y x))) (/ (- (* 8 (/ 1 (pow (fabs (- y x)) 3))) (* 4 (/ 1 (* (pow (fabs (- y x)) 3) (pow (sqrt 2) 2))))) (sqrt 2)))))))) (* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2))) |
(* (sqrt (/ 1 (fabs (- x y)))) (sqrt 2)) |
(+ (* -2 (* (/ x (sqrt 2)) (sqrt (/ 1 (pow (fabs (- x y)) 3))))) (* (sqrt (/ 1 (fabs (- x y)))) (sqrt 2))) |
(+ (* x (+ (* -2 (* (sqrt (/ 1 (pow (fabs (- x y)) 3))) (/ 1 (sqrt 2)))) (* 1/2 (* (/ (* x (- (* 8 (/ 1 (pow (fabs (- x y)) 3))) (* 4 (/ 1 (* (pow (fabs (- x y)) 3) (pow (sqrt 2) 2)))))) (sqrt 2)) (sqrt (fabs (- x y))))))) (* (sqrt (/ 1 (fabs (- x y)))) (sqrt 2))) |
(+ (* x (+ (* -2 (* (sqrt (/ 1 (pow (fabs (- x y)) 3))) (/ 1 (sqrt 2)))) (* x (+ (* -1/2 (* (/ (* x (+ (* -2 (/ (- (* 8 (/ 1 (pow (fabs (- x y)) 3))) (* 4 (/ 1 (* (pow (fabs (- x y)) 3) (pow (sqrt 2) 2))))) (* (fabs (- x y)) (pow (sqrt 2) 2)))) (* 16 (/ 1 (pow (fabs (- x y)) 4))))) (sqrt 2)) (sqrt (fabs (- x y))))) (* 1/2 (* (sqrt (fabs (- x y))) (/ (- (* 8 (/ 1 (pow (fabs (- x y)) 3))) (* 4 (/ 1 (* (pow (fabs (- x y)) 3) (pow (sqrt 2) 2))))) (sqrt 2)))))))) (* (sqrt (/ 1 (fabs (- x y)))) (sqrt 2))) |
(/ 2 (fabs (- x y))) |
(+ (* -4 (/ x (pow (fabs (- x y)) 2))) (* 2 (/ 1 (fabs (- x y))))) |
(+ (* x (- (* 8 (/ x (pow (fabs (- x y)) 3))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y))))) |
(+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- x y)) 4))) (* 8 (/ 1 (pow (fabs (- x y)) 3))))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y))))) |
(/ 4 (pow (fabs (- x y)) 2)) |
(+ (* 16 (/ (pow x 2) (pow (fabs (- x y)) 4))) (* 4 (/ 1 (pow (fabs (- x y)) 2)))) |
(+ (* (pow x 2) (+ (* 64 (/ (pow x 2) (pow (fabs (- x y)) 6))) (* 16 (/ 1 (pow (fabs (- x y)) 4))))) (* 4 (/ 1 (pow (fabs (- x y)) 2)))) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 256 (/ (pow x 2) (pow (fabs (- x y)) 8))) (* 64 (/ 1 (pow (fabs (- x y)) 6))))) (* 16 (/ 1 (pow (fabs (- x y)) 4))))) (* 4 (/ 1 (pow (fabs (- x y)) 2)))) |
(+ (* -1 x) (* 1/2 (fabs (- x y)))) |
(fabs (* (+ x y) (- y x))) |
(/ 1 y) |
(+ (* -2 (/ x (pow y 2))) (/ 1 y)) |
(+ (* x (- (/ x (pow y 3)) (* 2 (/ 1 (pow y 2))))) (/ 1 y)) |
(+ (* x (- (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (* 2 (/ 1 (pow y 2))))) (/ 1 y)) |
(* 1/4 (pow (fabs (- x y)) 2)) |
(+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (- x y)) 2))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (* (+ x y) (- y x))) (* x (fabs (+ x y))))))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (* 1/2 (/ (* (fabs (+ (* x y) (+ (pow x 2) (pow y 2)))) (fabs (/ (- y x) (+ (* x y) (+ (pow x 2) (pow y 2)))))) x)))) |
(fabs (+ (* x y) (+ (pow x 2) (pow y 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(sqrt (/ 1 x)) |
(+ (sqrt (/ 1 x)) (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- y x))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- y x)))) (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (- y x)) 2))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ (* 1/16 (* x (pow (fabs (- y x)) 2))) (* 1/8 (pow (fabs (- y x)) 3))))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- y x)))) (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (- y x)) 2)))))) |
(+ (sqrt (/ 1 x)) (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- x y))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- x y)))) (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (- x y)) 2))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ (* 1/16 (* x (pow (fabs (- x y)) 2))) (* 1/8 (pow (fabs (- x y)) 3))))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- x y)))) (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (- x y)) 2)))))) |
(/ 1 x) |
(/ (+ 1 (* -1/2 (/ (fabs (- x y)) x))) x) |
(/ (- (+ 1 (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- x y)) x))) x) |
(/ (- (+ 1 (* -1/8 (/ (pow (fabs (- x y)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))) x) |
(/ -1 (pow x 2)) |
(/ (- (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) 1) (pow x 2)) |
(/ (- (* -1/16 (/ (pow (fabs (- x y)) 4) (pow x 4))) (+ 1 (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))))) (pow x 2)) |
(/ (- (* -1/64 (/ (pow (fabs (- x y)) 6) (pow x 6))) (+ 1 (+ (* 1/16 (/ (pow (fabs (- x y)) 4) (pow x 4))) (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))))) (pow x 2)) |
(/ (+ 1 (+ (* -1/2 (/ (fabs (- x y)) x)) (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))))) x) |
(/ (- (+ 1 (+ (* -1/2 (/ (fabs (- x y)) x)) (* -1/8 (/ (pow (fabs (- x y)) 3) (pow x 3))))) (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))) x) |
(* -1 x) |
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1)) |
(/ -1 x) |
(/ (- (/ y x) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (* (pow y 2) (- y (* -1 y)))) (pow x 3))) (/ y x)) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (* y (- y (* -1 y))) (pow x 2)))))) x) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) 1)) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(fabs (neg (+ y (* -1 x)))) |
(* -1 (* x (- (* -1/2 (/ (fabs (* (+ y (* -1 x)) (- y (* -1 x)))) (* x (fabs (- y (* -1 x)))))) 1))) |
(/ 1/2 (fabs (- y (* -1 x)))) |
(fabs (- y (* -1 x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (* (fabs (+ (* x (- y (* -1 x))) (pow y 2))) (fabs (/ (+ y (* -1 x)) (+ (* x (- y (* -1 x))) (pow y 2))))) x)) 1))) |
(fabs (+ (* x (- y (* -1 x))) (pow y 2))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (+ y (* -1 x))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (+ y (* -1 x))))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (+ y (* -1 x))) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (pow (fabs (+ y (* -1 x))) 2))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1/16 (/ (* x (pow (fabs (+ y (* -1 x))) 2)) (pow (sqrt -1) 2))) (* 1/8 (pow (fabs (+ y (* -1 x))) 3)))))) (pow x 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (+ y (* -1 x))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (neg (+ y (* -1 x)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (neg (+ y (* -1 x)))))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (neg (+ y (* -1 x)))) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (pow (fabs (neg (+ y (* -1 x)))) 2))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1/16 (/ (* x (pow (fabs (neg (+ y (* -1 x)))) 2)) (pow (sqrt -1) 2))) (* 1/8 (pow (fabs (neg (+ y (* -1 x)))) 3)))))) (pow x 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (neg (+ y (* -1 x)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (/ (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (neg (+ y (* -1 x)))) 3) x)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2))) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x)) |
(/ (- (* -1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) (pow x 2))) 1) (pow x 2)) |
(/ (- (* -1/16 (/ (pow (fabs (neg (+ y (* -1 x)))) 4) (pow x 4))) (+ 1 (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) (pow x 2))))) (pow x 2)) |
(/ (- (* -1/64 (/ (pow (fabs (neg (+ y (* -1 x)))) 6) (pow x 6))) (+ 1 (+ (* 1/16 (/ (pow (fabs (neg (+ y (* -1 x)))) 4) (pow x 4))) (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) (pow x 2)))))) (pow x 2)) |
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (fabs (neg (+ y (* -1 x))))) (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (pow (fabs (neg (+ y (* -1 x)))) 3) x)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2))) x)) (* -1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x)) |
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x))))) |
(fabs (* (+ y (* -1 x)) (- y (* -1 x)))) |
(* -1 (/ (+ 1 (* -1 (/ (- y (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (+ (* -1 (/ (* y (- y (* -1 y))) x)) (/ (pow y 2) x))) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (+ (/ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x) (/ (* (pow y 2) (- y (* -1 y))) x)) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x))) (* -1 y)) x))) x)) |
(* (pow x 2) (- (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) (pow x 2))) 1)) |
(+ (* x y) (pow x 2)) |
(+ (* y (+ x y)) (pow x 2)) |
(sqrt (/ 1 (+ x (* 1/2 (fabs (- y x)))))) |
(sqrt (/ 1 (+ x (* 1/2 (fabs (- x y)))))) |
(/ 1 (+ x (* 1/2 (fabs (- x y))))) |
(/ 1 (+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (- x y)) 2)))) |
(/ (+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (- x y)) 2))) (- (* 1/2 (fabs (- x y))) x)) |
(/ (- (* 1/2 (fabs (- x y))) x) (+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (- x y)) 2)))) |
(- (* 1/2 (fabs (- x y))) x) |
(- (* 2 (/ y (pow x 2))) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)) |
(- (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)) |
(* y (- (/ x y) 1)) |
(* y (+ 1 (/ x y))) |
(* (pow y 2) (+ 1 (/ x y))) |
(* (pow y 2) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(/ (- (+ 1 (* -1 (/ x y))) (/ x y)) y) |
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* x (- (* -1 x) x)) (pow x 2)) (pow y 2))))) (/ x y)) y) |
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (* x (+ (* x (- (* -1 x) x)) (pow x 2)))) (* (pow x 2) (- (* -1 x) x))) (pow y 3))))) (+ (/ x y) (+ (/ (* x (- (* -1 x) x)) (pow y 2)) (/ (pow x 2) (pow y 2))))) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fabs (+ x (* -1 y))) |
(+ x (* 1/2 (/ (fabs (* -1 (* (+ x (* -1 y)) (- x (* -1 y))))) (fabs (- x (* -1 y)))))) |
(/ 1/2 (fabs (- x (* -1 y)))) |
(fabs (- x (* -1 y))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ x (* 1/2 (* (fabs (* -1 (/ (+ x (* -1 y)) (+ (* x (- x (* -1 y))) (pow y 2))))) (fabs (+ (* x (- x (* -1 y))) (pow y 2)))))) |
(fabs (+ (* x (- x (* -1 y))) (pow y 2))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(sqrt (/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))) |
(sqrt (/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y))))))) |
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y)))))) |
(/ 1 (+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (+ x (* -1 y))) 2)))) |
(/ (+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (+ x (* -1 y))) 2))) (- (* 1/2 (fabs (+ x (* -1 y)))) x)) |
(/ (- (* 1/2 (fabs (+ x (* -1 y)))) x) (+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (+ x (* -1 y))) 2)))) |
(- (* 1/2 (fabs (+ x (* -1 y)))) x) |
(fabs (* -1 (* (+ x (* -1 y)) (- x (* -1 y))))) |
(* -1 (/ (- (/ x y) (+ 1 (* -1 (/ x y)))) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)) y))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (+ (* -1 (/ (+ (* x (+ (* -1 (* x (- x (* -1 x)))) (pow x 2))) (* (pow x 2) (- x (* -1 x)))) y)) (pow x 2))) y))) y)) 1) y)) |
(+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (+ x (* -1 y))) 2))) |
| Outputs |
|---|
(* -1 y) |
(neg.f64 y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(- x y) |
(-.f64 x y) |
(* 1/2 (/ (fabs (* (+ x y) (- y x))) (fabs (+ x y)))) |
(*.f64 (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (fabs.f64 (+.f64 x y))) #s(literal 1/2 binary64)) |
(+ x (* 1/2 (/ (fabs (* (+ x y) (- y x))) (fabs (+ x y))))) |
(fma.f64 (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (fabs.f64 (+.f64 x y))) #s(literal 1/2 binary64) x) |
(/ 1/2 (fabs (+ x y))) |
(/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) |
(fabs (+ x y)) |
(fabs.f64 (+.f64 x y)) |
y |
(+ x y) |
(+.f64 x y) |
(* 1/2 (* (fabs (+ (* x (+ x y)) (pow y 2))) (fabs (/ (- y x) (+ (* x (+ x y)) (pow y 2)))))) |
(*.f64 (*.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(+ x (* 1/2 (* (fabs (+ (* x (+ x y)) (pow y 2))) (fabs (/ (- y x) (+ (* x (+ x y)) (pow y 2))))))) |
(fma.f64 (*.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y)))) x) |
(fabs (+ (* x (+ x y)) (pow y 2))) |
(fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) |
(pow y 2) |
(*.f64 y y) |
(+ (* x y) (pow y 2)) |
(*.f64 (+.f64 x y) y) |
(+ (* x (+ x y)) (pow y 2)) |
(fma.f64 (+.f64 x y) x (*.f64 y y)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -2 (* (/ x (sqrt 2)) (sqrt (/ 1 (pow (fabs (- y x)) 3))))) (* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2))) |
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* x (+ (* -2 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (sqrt 2)))) (* 1/2 (* (/ (* x (- (* 8 (/ 1 (pow (fabs (- y x)) 3))) (* 4 (/ 1 (* (pow (fabs (- y x)) 3) (pow (sqrt 2) 2)))))) (sqrt 2)) (sqrt (fabs (- y x))))))) (* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2))) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* x (+ (* -2 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (sqrt 2)))) (* x (+ (* -1/2 (* (/ (* x (+ (* -2 (/ (- (* 8 (/ 1 (pow (fabs (- y x)) 3))) (* 4 (/ 1 (* (pow (fabs (- y x)) 3) (pow (sqrt 2) 2))))) (* (fabs (- y x)) (pow (sqrt 2) 2)))) (* 16 (/ 1 (pow (fabs (- y x)) 4))))) (sqrt 2)) (sqrt (fabs (- y x))))) (* 1/2 (* (sqrt (fabs (- y x))) (/ (- (* 8 (/ 1 (pow (fabs (- y x)) 3))) (* 4 (/ 1 (* (pow (fabs (- y x)) 3) (pow (sqrt 2) 2))))) (sqrt 2)))))))) (* (sqrt (/ 1 (fabs (- y x)))) (sqrt 2))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)))) (fabs.f64 (-.f64 y x))) (/.f64 #s(literal 16 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 4 binary64)))) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) x (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt (/ 1 (fabs (- x y)))) (sqrt 2)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -2 (* (/ x (sqrt 2)) (sqrt (/ 1 (pow (fabs (- x y)) 3))))) (* (sqrt (/ 1 (fabs (- x y)))) (sqrt 2))) |
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* x (+ (* -2 (* (sqrt (/ 1 (pow (fabs (- x y)) 3))) (/ 1 (sqrt 2)))) (* 1/2 (* (/ (* x (- (* 8 (/ 1 (pow (fabs (- x y)) 3))) (* 4 (/ 1 (* (pow (fabs (- x y)) 3) (pow (sqrt 2) 2)))))) (sqrt 2)) (sqrt (fabs (- x y))))))) (* (sqrt (/ 1 (fabs (- x y)))) (sqrt 2))) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* x (+ (* -2 (* (sqrt (/ 1 (pow (fabs (- x y)) 3))) (/ 1 (sqrt 2)))) (* x (+ (* -1/2 (* (/ (* x (+ (* -2 (/ (- (* 8 (/ 1 (pow (fabs (- x y)) 3))) (* 4 (/ 1 (* (pow (fabs (- x y)) 3) (pow (sqrt 2) 2))))) (* (fabs (- x y)) (pow (sqrt 2) 2)))) (* 16 (/ 1 (pow (fabs (- x y)) 4))))) (sqrt 2)) (sqrt (fabs (- x y))))) (* 1/2 (* (sqrt (fabs (- x y))) (/ (- (* 8 (/ 1 (pow (fabs (- x y)) 3))) (* 4 (/ 1 (* (pow (fabs (- x y)) 3) (pow (sqrt 2) 2))))) (sqrt 2)))))))) (* (sqrt (/ 1 (fabs (- x y)))) (sqrt 2))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)))) (fabs.f64 (-.f64 y x))) (/.f64 #s(literal 16 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 4 binary64)))) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) x (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 2 (fabs (- x y))) |
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) |
(+ (* -4 (/ x (pow (fabs (- x y)) 2))) (* 2 (/ 1 (fabs (- x y))))) |
(fma.f64 (/.f64 x (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))) |
(+ (* x (- (* 8 (/ x (pow (fabs (- x y)) 3))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y))))) |
(fma.f64 (fma.f64 (/.f64 x (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64))) #s(literal 8 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))) x (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))) |
(+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- x y)) 4))) (* 8 (/ 1 (pow (fabs (- x y)) 3))))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 4 binary64))) #s(literal -16 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)))) x (/.f64 #s(literal -4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))) x (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))) |
(/ 4 (pow (fabs (- x y)) 2)) |
(/.f64 #s(literal 4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
(+ (* 16 (/ (pow x 2) (pow (fabs (- x y)) 4))) (* 4 (/ 1 (pow (fabs (- x y)) 2)))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 4 binary64))) x (/.f64 #s(literal 4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))) |
(+ (* (pow x 2) (+ (* 64 (/ (pow x 2) (pow (fabs (- x y)) 6))) (* 16 (/ 1 (pow (fabs (- x y)) 4))))) (* 4 (/ 1 (pow (fabs (- x y)) 2)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 64 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 6 binary64))) (*.f64 x x) (/.f64 #s(literal 16 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 256 (/ (pow x 2) (pow (fabs (- x y)) 8))) (* 64 (/ 1 (pow (fabs (- x y)) 6))))) (* 16 (/ 1 (pow (fabs (- x y)) 4))))) (* 4 (/ 1 (pow (fabs (- x y)) 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 8 binary64))) #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 4 binary64))) x (/.f64 #s(literal 4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))))) |
(+ (* -1 x) (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) |
(fabs (* (+ x y) (- y x))) |
(fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -2 (/ x (pow y 2))) (/ 1 y)) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(+ (* x (- (/ x (pow y 3)) (* 2 (/ 1 (pow y 2))))) (/ 1 y)) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) |
(+ (* x (- (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (* 2 (/ 1 (pow y 2))))) (/ 1 y)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal -2 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/4 (pow (fabs (- x y)) 2)) |
(*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
(+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (- x y)) 2))) |
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/2 (/ (fabs (* (+ x y) (- y x))) (* x (fabs (+ x y))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (fabs.f64 (-.f64 y x)) x) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
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(*.f64 (fma.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x) |
(fabs (* (+ y (* -1 x)) (- y (* -1 x)))) |
(fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))) |
(* -1 (/ (+ 1 (* -1 (/ (- y (* -1 y)) x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (neg.f64 x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (+ (* -1 (/ (* y (- y (* -1 y))) x)) (/ (pow y 2) x))) (* -1 y)) x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (-.f64 y (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) y)) x)) (neg.f64 x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (+ (/ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x) (/ (* (pow y 2) (- y (* -1 y))) x)) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x))) (* -1 y)) x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 y (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -2 binary64) y y)) (/.f64 y x) (fma.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y (/.f64 y x) y) (*.f64 (neg.f64 y) y))) x)) y) x)) (neg.f64 x)) |
(* (pow x 2) (- (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) (pow x 2))) 1)) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(+ (* x y) (pow x 2)) |
(*.f64 (+.f64 x y) x) |
(+ (* y (+ x y)) (pow x 2)) |
(fma.f64 (+.f64 x y) x (*.f64 y y)) |
(sqrt (/ 1 (+ x (* 1/2 (fabs (- y x)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))) |
(sqrt (/ 1 (+ x (* 1/2 (fabs (- x y)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))) |
(/ 1 (+ x (* 1/2 (fabs (- x y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)) |
(/ 1 (+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (- x y)) 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) |
(/ (+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (- x y)) 2))) (- (* 1/2 (fabs (- x y))) x)) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) |
(/ (- (* 1/2 (fabs (- x y))) x) (+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (- x y)) 2)))) |
(/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) |
(- (* 1/2 (fabs (- x y))) x) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) |
(- (* 2 (/ y (pow x 2))) (/ 1 x)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -1 binary64)) x) |
(- (* y (+ (* -1 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)) |
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal -1 binary64) x)) |
(- (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)) |
(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 2 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x)) |
(* y (- (/ x y) 1)) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* (pow y 2) (+ 1 (/ x y))) |
(*.f64 (fma.f64 (/.f64 x y) y y) y) |
(* (pow y 2) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(/ (- (+ 1 (* -1 (/ x y))) (/ x y)) y) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64)) y) |
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* x (- (* -1 x) x)) (pow x 2)) (pow y 2))))) (/ x y)) y) |
(/.f64 (+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)) y) |
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (* x (+ (* x (- (* -1 x) x)) (pow x 2)))) (* (pow x 2) (- (* -1 x) x))) (pow y 3))))) (+ (/ x y) (+ (/ (* x (- (* -1 x) x)) (pow y 2)) (/ (pow x 2) (pow y 2))))) y) |
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (fma.f64 (/.f64 (/.f64 x y) y) (neg.f64 x) (/.f64 x y))) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 y x)) |
(+ x (* 1/2 (/ (fabs (* -1 (* (+ x (* -1 y)) (- x (* -1 y))))) (fabs (- x (* -1 y)))))) |
(fma.f64 (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (fabs.f64 (+.f64 x y))) #s(literal 1/2 binary64) x) |
(/ 1/2 (fabs (- x (* -1 y)))) |
(/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) |
(fabs (- x (* -1 y))) |
(fabs.f64 (+.f64 x y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(+ x (* 1/2 (* (fabs (* -1 (/ (+ x (* -1 y)) (+ (* x (- x (* -1 y))) (pow y 2))))) (fabs (+ (* x (- x (* -1 y))) (pow y 2)))))) |
(fma.f64 (*.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y)))) x) |
(fabs (+ (* x (- x (* -1 y))) (pow y 2))) |
(fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)))) |
(*.f64 y (fma.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) y y)) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(sqrt (/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))) |
(sqrt (/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y))))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))) |
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)) |
(/ 1 (+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (+ x (* -1 y))) 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) |
(/ (+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (+ x (* -1 y))) 2))) (- (* 1/2 (fabs (+ x (* -1 y)))) x)) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) |
(/ (- (* 1/2 (fabs (+ x (* -1 y)))) x) (+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (+ x (* -1 y))) 2)))) |
(/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) |
(- (* 1/2 (fabs (+ x (* -1 y)))) x) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) |
(fabs (* -1 (* (+ x (* -1 y)) (- x (* -1 y))))) |
(fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))) |
(* -1 (/ (- (/ x y) (+ 1 (* -1 (/ x y)))) y)) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)) y))) y)) 1) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 x (/.f64 x y))) y) #s(literal 1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (+ (* -1 (/ (+ (* x (+ (* -1 (* x (- x (* -1 x)))) (pow x 2))) (* (pow x 2) (- x (* -1 x)))) y)) (pow x 2))) y))) y)) 1) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 y))) (neg.f64 y))) y) #s(literal 1 binary64)) y) |
(+ (* -1 (pow x 2)) (* 1/4 (pow (fabs (+ x (* -1 y))) 2))) |
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 312 |
| 0 | 98 | 296 |
| 1 | 355 | 266 |
| 2 | 2542 | 260 |
| 0 | 8463 | 259 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) |
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) |
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (fabs.f64 (*.f64 (-.f64 y x) (+.f64 x y))) x) |
(/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) |
(fabs.f64 (+.f64 x y)) |
(+.f64 x y) |
(fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)))) #s(literal 1/2 binary64)) x) |
(fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fma.f64 (+.f64 y x) x (*.f64 y y)) |
(+.f64 y x) |
(pow.f64 #s(approx (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)) |
#s(approx (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) |
(pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) |
(fabs.f64 (*.f64 (-.f64 y x) (+.f64 x y))) |
#s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)) |
(/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) x) (+.f64 (/.f64 y x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (+.f64 (/.f64 y x) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 (neg.f64 y) x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (neg.f64 y) x) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (neg.f64 y) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (neg.f64 y) x) x)) |
(*.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x)) (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))))))) (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))))))))) |
(/.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))) |
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(fma.f64 (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (neg.f64 (neg.f64 x))) |
(fma.f64 (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) x) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x))) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x))) (neg.f64 (neg.f64 x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x))) x) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)) (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)))) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)) (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)) (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)))) x) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 (neg.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))) |
(-.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 x)) |
(exp.f64 (log.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))) |
(+.f64 (-.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) x) |
(+.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 x))) |
(+.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) x) |
(+.f64 x (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (*.f64 (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (*.f64 (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 (exp.f64 (log.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))) (exp.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 (exp.f64 (log.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (log.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (*.f64 (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64)))) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (*.f64 (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x))) |
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64))) (neg.f64 (pow.f64 (*.f64 (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (*.f64 (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (*.f64 (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) |
(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (fabs.f64 (-.f64 x y))) #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (fabs.f64 (-.f64 x y))) #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (*.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (*.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (fabs.f64 (-.f64 x y))) (fabs.f64 (-.f64 x y)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (fabs.f64 (-.f64 x y))) (fabs.f64 (-.f64 x y)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (*.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y)))) (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (*.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y)))) (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 x) x)) |
(fma.f64 (pow.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fabs.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (pow.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fabs.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (pow.f64 (*.f64 (fabs.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (pow.f64 (*.f64 (fabs.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (pow.f64 (*.f64 (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (pow.f64 (*.f64 (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 x) x (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)) (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)) (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 (fabs.f64 (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y)))) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 (fabs.f64 (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y)))) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) x)) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x))) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x))) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) x)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (*.f64 (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x))) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (*.f64 (fabs.f64 (fma.f64 y y (*.f64 (neg.f64 x) x))) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 (-.f64 x y)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 (-.f64 x y)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) x)) |
(fma.f64 x (neg.f64 x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)))) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 x x)) |
(exp.f64 (log.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x)) |
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
Compiled 29 237 to 3 463 computations (88.2% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 837 | 2 | 839 |
| Fresh | 0 | 3 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 839 | 12 | 851 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.5% | (fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (fabs.f64 (*.f64 (-.f64 y x) (+.f64 x y))) x) |
| 51.0% | (fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (*.f64 (neg.f64 (fabs.f64 (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))) #s(literal 1/2 binary64)) x) | |
| ✓ | 99.9% | (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
| ✓ | 88.5% | (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) |
| ✓ | 58.1% | (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
| 11.8% | (fma.f64 (fabs.f64 #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 (*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y) y))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)))) #s(literal 1/2 binary64)) x) | |
| 40.4% | (fma.f64 (fabs.f64 #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)))) #s(literal 1/2 binary64)) x) | |
| 73.1% | (pow.f64 (pow.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #s(literal -1/4 binary64)) #s(literal -4 binary64)) | |
| ✓ | 73.6% | (pow.f64 #s(approx (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)) |
| ✓ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))) |
| ✓ | 99.7% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) |
| 73.6% | (*.f64 (sqrt.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) (sqrt.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))) |
Compiled 810 to 308 computations (62% saved)
| Inputs |
|---|
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (fabs.f64 (*.f64 (-.f64 y x) (+.f64 x y))) x) |
(fma.f64 (fabs.f64 #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)))) #s(literal 1/2 binary64)) x) |
(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))) #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))))) #s(literal 1/2 binary64) x) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))) |
(*.f64 (sqrt.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) (sqrt.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))) |
(fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)))) #s(literal 1/2 binary64)) x) |
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64))) |
(+.f64 x (/.f64 (fabs.f64 (fma.f64 y (/.f64 y (+.f64 x y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))) #s(literal 2 binary64))) |
(fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y)))) #s(literal 1/2 binary64)) x) |
(+.f64 x (/.f64 (fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) x (*.f64 y y)))))) #s(literal 2 binary64))) |
(fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (*.f64 (neg.f64 (fabs.f64 (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))) #s(literal 1/2 binary64)) x) |
(fma.f64 (fabs.f64 #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 (*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y) y))) (*.f64 (fabs.f64 (/.f64 (-.f64 y x) #s(approx (+ (* (+ y x) x) (* y y)) (*.f64 x x)))) #s(literal 1/2 binary64)) x) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) |
(pow.f64 #s(approx (pow (+ (* 1/2 (fabs (- y x))) x) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
(+.f64 x (/.f64 (fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #s(literal -1/4 binary64)) #s(literal -4 binary64)) |
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) |
| Outputs |
|---|
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
3 calls:
| 61.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 8.0ms | y |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
Compiled 10 to 11 computations (-10% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
| Outputs |
|---|
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
3 calls:
| 1.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.1% | 1 | x |
| 58.1% | 1 | y |
| 58.1% | 1 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 17 |
| 1 | 24 | 17 |
| 2 | 44 | 17 |
| 3 | 94 | 17 |
| 4 | 182 | 17 |
| 5 | 368 | 17 |
| 6 | 547 | 17 |
| 7 | 1929 | 17 |
| 8 | 5328 | 17 |
| 9 | 7387 | 17 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
| Outputs |
|---|
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 449 | 1647 |
| 1 | 1314 | 1514 |
| 2 | 3763 | 1299 |
| 0 | 8511 | 1246 |
| 0 | 7 | 21 |
| 0 | 11 | 21 |
| 1 | 51 | 21 |
| 2 | 380 | 21 |
| 3 | 5351 | 21 |
| 0 | 8398 | 20 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 53 to 39 computations (26.4% saved)
Compiled 50 to 36 computations (28% saved)
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