
Time bar (total: 6.2s)
| 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)
| 691.0ms | 7 935× | 0 | valid |
| 38.0ms | 63× | 3 | valid |
| 24.0ms | 162× | 1 | valid |
| 13.0ms | 96× | 2 | valid |
ival-div: 93.0ms (28.4% of total)ival-add: 84.0ms (25.7% of total)ival-fabs: 76.0ms (23.2% of total)ival-sub: 52.0ms (15.9% of total)adjust: 9.0ms (2.7% of total)ival-true: 6.0ms (1.8% of total)exact: 5.0ms (1.5% 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 |
| 25.0ms | 496× | 0 | valid |
| 1.0ms | 8× | 2 | valid |
| 1.0ms | 8× | 1 | valid |
Compiled 60 to 25 computations (58.3% saved)
ival-div: 3.0ms (22.9% of total)ival-sub: 3.0ms (22.9% of total)ival-fabs: 3.0ms (22.9% of total)ival-add: 2.0ms (15.3% 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)| 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 | 0 | (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) | |
| cost-diff | 1 | (+.f64 x (/.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 | 0.04296875 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 12.0ms | 248× | 0 | valid |
| 1.0ms | 4× | 2 | valid |
| 0.0ms | 4× | 1 | valid |
Compiled 26 to 9 computations (65.4% saved)
ival-div: 2.0ms (29.8% of total)ival-sub: 2.0ms (29.8% of total)ival-add: 1.0ms (14.9% of total)ival-fabs: 1.0ms (14.9% 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 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
(/.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 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(fabs (+ y (* -1 x))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(- y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(fabs (neg (+ x (* -1 y)))) |
(* -1 (* y (- (/ x y) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | inf | ((+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x)) |
| 1.0ms | x | @ | inf | ((+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x)) |
| 1.0ms | x | @ | -inf | ((+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x)) |
| 1.0ms | y | @ | -inf | ((+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x)) |
| 1.0ms | x | @ | 0 | ((+ x (/ (fabs (- y x)) 2)) (/ (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 | 772 | 84 |
| 4 | 2395 | 84 |
| 5 | 3272 | 84 |
| 6 | 4305 | 84 |
| 7 | 5163 | 84 |
| 8 | 5738 | 84 |
| 9 | 6226 | 84 |
| 10 | 7915 | 84 |
| 0 | 8005 | 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 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(fabs (+ y (* -1 x))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(- y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(* 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 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(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) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(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 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
| Outputs |
|---|
(*.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)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (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 (/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x))) |
(*.f64 (pow.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))) #s(literal -1 binary64)) (pow.f64 (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)) #s(literal -1 binary64))) |
(*.f64 (pow.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))) #s(literal -1 binary64)) (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 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
(*.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 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) (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 (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 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) (pow.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))) #s(literal -1 binary64)))) |
(*.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))) (pow.f64 (neg.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)))) #s(literal -1 binary64))) |
(*.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))) (pow.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))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
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(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y))) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 y x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) x) (-.f64 (*.f64 (+.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) 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 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) 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 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 y (/.f64 y (+.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 x #s(literal -1 binary64) (neg.f64 (neg.f64 y))) |
(fma.f64 x #s(literal -1 binary64) y) |
(-.f64 (+.f64 y #s(literal 0 binary64)) x) |
(-.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) 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 y x))) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(+.f64 (neg.f64 x) (neg.f64 (neg.f64 y))) |
(+.f64 (neg.f64 x) y) |
(+.f64 y (neg.f64 x)) |
Compiled 5 455 to 933 computations (82.9% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 237 | 8 | 245 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 238 | 8 | 246 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.1% | (fma.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 y x)) #s(literal -1 binary64)) x) |
| 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) |
| ▶ | 54.4% | (/.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)) |
| 56.1% | (+.f64 x (/.f64 (*.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 y x)))) | |
| 48.6% | (+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 2 binary64))) | |
| ▶ | 99.7% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) |
| ▶ | 55.1% | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
Compiled 232 to 164 computations (29.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) | |
| cost-diff | 2 | (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal -1 binary64)) | |
| cost-diff | 11 | (fma.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 y x)) #s(literal -1 binary64)) x) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (pow.f64 (-.f64 x y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (/.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)) | |
| cost-diff | 0 | (fabs.f64 (-.f64 x y)) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) | |
| cost-diff | 1 | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (fabs.f64 (-.f64 y x)) | |
| cost-diff | 0 | (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) | |
| 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: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 217 |
| 0 | 66 | 199 |
| 1 | 94 | 197 |
| 2 | 125 | 197 |
| 3 | 216 | 197 |
| 4 | 568 | 197 |
| 5 | 1630 | 196 |
| 6 | 3319 | 196 |
| 7 | 5473 | 196 |
| 0 | 8173 | 196 |
| 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) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
x |
#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 (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)) |
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) |
(pow.f64 (-.f64 x y) #s(literal 2 binary64)) |
(-.f64 x y) |
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) |
#s(literal -1/2 binary64) |
(fabs.f64 (-.f64 x y)) |
(fma.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 y x)) #s(literal -1 binary64)) x) |
(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal -1 binary64)) |
(/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
#s(literal 2 binary64) |
(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(neg.f64 x) |
x |
(*.f64 y y) |
y |
#s(literal -1 binary64) |
(pow.f64 (fabs.f64 (+.f64 y x)) #s(literal -1 binary64)) |
(fabs.f64 (+.f64 y x)) |
(+.f64 y x) |
| 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) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
x |
#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 (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 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) |
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) |
(fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) |
(pow.f64 (-.f64 x y) #s(literal 2 binary64)) |
(-.f64 x y) |
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) |
(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)) |
(fma.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 y x)) #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal -1 binary64)) |
(*.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) |
#s(literal 2 binary64) |
(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) |
x |
(*.f64 y y) |
y |
#s(literal -1 binary64) |
(pow.f64 (fabs.f64 (+.f64 y x)) #s(literal -1 binary64)) |
(fabs.f64 (+.f64 y x)) |
(+.f64 y x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.529448634951869 | (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) | |
| accuracy | 0.6501201716165742 | (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal -1 binary64)) | |
| accuracy | 1.999977980844482 | (fma.f64 (neg.f64 x) x (*.f64 y y)) | |
| accuracy | 28.154388303153254 | (fma.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 y x)) #s(literal -1 binary64)) x) | |
| accuracy | 0.015625 | (pow.f64 (-.f64 x y) #s(literal 2 binary64)) | |
| accuracy | 0.0625 | (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) | |
| accuracy | 11.210923050811443 | (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) | |
| accuracy | 28.14876151417814 | (/.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)) | |
| accuracy | 0.0 | (fabs.f64 (-.f64 x y)) | |
| accuracy | 0.02734375 | (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) | |
| accuracy | 0.04296875 | (+.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 y x) | |
| accuracy | 0.0 | (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (fabs.f64 (-.f64 y x)) | |
| accuracy | 28.723915539957606 | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (fabs.f64 (-.f64 x y)) | |
| accuracy | 0.04296875 | (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
| 60.0ms | 227× | 0 | valid |
| 8.0ms | 15× | 1 | valid |
| 7.0ms | 9× | 2 | valid |
| 5.0ms | 5× | 3 | valid |
Compiled 223 to 41 computations (81.6% saved)
ival-mult: 15.0ms (25.5% of total)ival-add: 10.0ms (17% of total)ival-div: 9.0ms (15.3% of total)ival-pow: 7.0ms (11.9% of total)ival-fabs: 6.0ms (10.2% of total)adjust: 4.0ms (6.8% of total)ival-pow2: 4.0ms (6.8% of total)ival-sub: 3.0ms (5.1% of total)exact: 1.0ms (1.7% of total)ival-neg: 1.0ms (1.7% 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) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
(/.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 (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)) |
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) |
(pow.f64 (-.f64 x y) #s(literal 2 binary64)) |
(fma.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 y x)) #s(literal -1 binary64)) x) |
(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal -1 binary64)) |
(/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
| Outputs |
|---|
(* 1/2 (fabs (- x y))) |
(+ x (* 1/2 (fabs (- x y)))) |
(fabs (- x y)) |
(* -1 y) |
(- x y) |
(* 1/2 (fabs (- y x))) |
(+ x (* 1/2 (fabs (- y x)))) |
(fabs (- y x)) |
y |
(+ y (* -1 x)) |
(/ 2 (fabs (- x y))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(* -1/4 (pow y 2)) |
(+ (* -1/4 (pow y 2)) (* 1/2 (* x y))) |
(+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x)))) |
(pow y 2) |
(+ (* -2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* -2 y))) (pow y 2)) |
(* 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))))) |
(* 1/2 (fabs (+ (* -1 (pow x 2)) (pow y 2)))) |
(/ 2 (fabs (+ (* -1 (pow x 2)) (pow y 2)))) |
(fabs (+ (* -1 (pow x 2)) (pow y 2))) |
(* -1/2 (fabs (- x y))) |
(+ x (* -1/2 (fabs (- x y)))) |
(+ (* -1 (pow x 2)) (pow y 2)) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* 3/4 x) |
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x)))) |
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x))))) |
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x))))) |
(* 3/4 (pow x 2)) |
(* (pow x 2) (+ 3/4 (* 1/2 (/ y x)))) |
(* (pow x 2) (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y))))))) |
(* 1/2 (fabs (- (pow y 2) (pow x 2)))) |
(/ 2 (fabs (- (pow y 2) (pow x 2)))) |
(fabs (- (pow y 2) (pow x 2))) |
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(fabs (neg (+ y (* -1 x)))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(fabs (+ y (* -1 x))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(/ 2 (fabs (neg (+ y (* -1 x))))) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x)))) |
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1))) |
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(+ x (* -1 y)) |
(- y x) |
(/ (+ (* -1/4 (pow x 2)) (pow x 2)) (+ x (* -1/2 (fabs (- x y))))) |
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* 1/2 (/ (* x y) (+ x (* -1/2 (fabs (- x y)))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y))))))) |
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* y (+ (* -1/4 (/ y (+ x (* -1/2 (fabs (- x y)))))) (* 1/2 (/ x (+ x (* -1/2 (fabs (- x y)))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y))))))) |
(+ (* -1/4 (pow x 2)) (pow x 2)) |
(+ (* -1/4 (pow x 2)) (+ (* 1/2 (* x y)) (pow x 2))) |
(+ (* -1/4 (pow x 2)) (+ (* y (+ (* -1/4 y) (* 1/2 x))) (pow x 2))) |
(+ (* -2 (* x y)) (pow x 2)) |
(+ (* y (+ y (* -2 x))) (pow x 2)) |
(* y (- (/ x y) 1)) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (- x y)))))) |
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y)))))))) |
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y))))))) (+ (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y)))))))) |
(* (pow y 2) (- (* 1/2 (/ x y)) 1/4)) |
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ x y)) (/ (pow x 2) (pow y 2)))) 1/4)) |
(* (pow y 2) (+ 1 (* -2 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fabs (+ x (* -1 y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(fabs (neg (+ x (* -1 y)))) |
(* -1 (* y (- (/ x y) 1))) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(/ 2 (fabs (+ x (* -1 y)))) |
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) |
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y))))))))) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) y)) (* -1/2 (/ x (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) y)) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y))))))))) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) y)) (* -1/2 x)) y)) 1/4)) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y)))) |
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y)))))) |
(+ x (* -1/2 (fabs (+ x (* -1 y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | inf | ((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (pow (- x y) 2) (+ (* (pow (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (pow (fabs (+ y x)) -1)) x) (pow (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (/ 2 (fabs (+ (* (neg x) x) (* y y)))) (fabs (+ (* (neg x) x) (* y y))) (+ (* -1/2 (fabs (- x y))) x) (+ (* (neg x) x) (* y y))) |
| 6.0ms | y | @ | 0 | ((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (pow (- x y) 2) (+ (* (pow (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (pow (fabs (+ y x)) -1)) x) (pow (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (/ 2 (fabs (+ (* (neg x) x) (* y y)))) (fabs (+ (* (neg x) x) (* y y))) (+ (* -1/2 (fabs (- x y))) x) (+ (* (neg x) x) (* y y))) |
| 5.0ms | x | @ | inf | ((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (pow (- x y) 2) (+ (* (pow (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (pow (fabs (+ y x)) -1)) x) (pow (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (/ 2 (fabs (+ (* (neg x) x) (* y y)))) (fabs (+ (* (neg x) x) (* y y))) (+ (* -1/2 (fabs (- x y))) x) (+ (* (neg x) x) (* y y))) |
| 5.0ms | x | @ | 0 | ((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (pow (- x y) 2) (+ (* (pow (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (pow (fabs (+ y x)) -1)) x) (pow (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (/ 2 (fabs (+ (* (neg x) x) (* y y)))) (fabs (+ (* (neg x) x) (* y y))) (+ (* -1/2 (fabs (- x y))) x) (+ (* (neg x) x) (* y y))) |
| 4.0ms | y | @ | -inf | ((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (pow (- x y) 2) (+ (* (pow (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (pow (fabs (+ y x)) -1)) x) (pow (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (/ 2 (fabs (+ (* (neg x) x) (* y y)))) (fabs (+ (* (neg x) x) (* y y))) (+ (* -1/2 (fabs (- x y))) x) (+ (* (neg x) x) (* y y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 353 | 1621 |
| 1 | 1049 | 1556 |
| 2 | 2815 | 1471 |
| 0 | 8433 | 1376 |
| 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) |
(* 1/2 (fabs (- y x))) |
(+ x (* 1/2 (fabs (- y x)))) |
(fabs (- y x)) |
y |
(+ y (* -1 x)) |
(/ 2 (fabs (- x y))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(* -1/4 (pow y 2)) |
(+ (* -1/4 (pow y 2)) (* 1/2 (* x y))) |
(+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x)))) |
(pow y 2) |
(+ (* -2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* -2 y))) (pow y 2)) |
(* 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))))) |
(* 1/2 (fabs (+ (* -1 (pow x 2)) (pow y 2)))) |
(/ 2 (fabs (+ (* -1 (pow x 2)) (pow y 2)))) |
(fabs (+ (* -1 (pow x 2)) (pow y 2))) |
(* -1/2 (fabs (- x y))) |
(+ x (* -1/2 (fabs (- x y)))) |
(+ (* -1 (pow x 2)) (pow y 2)) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* 3/4 x) |
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x)))) |
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x))))) |
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x))))) |
(* 3/4 (pow x 2)) |
(* (pow x 2) (+ 3/4 (* 1/2 (/ y x)))) |
(* (pow x 2) (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y))))))) |
(* 1/2 (fabs (- (pow y 2) (pow x 2)))) |
(/ 2 (fabs (- (pow y 2) (pow x 2)))) |
(fabs (- (pow y 2) (pow x 2))) |
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(fabs (neg (+ y (* -1 x)))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(fabs (+ y (* -1 x))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(/ 2 (fabs (neg (+ y (* -1 x))))) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x)))) |
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1))) |
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(+ x (* -1 y)) |
(- y x) |
(/ (+ (* -1/4 (pow x 2)) (pow x 2)) (+ x (* -1/2 (fabs (- x y))))) |
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* 1/2 (/ (* x y) (+ x (* -1/2 (fabs (- x y)))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y))))))) |
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* y (+ (* -1/4 (/ y (+ x (* -1/2 (fabs (- x y)))))) (* 1/2 (/ x (+ x (* -1/2 (fabs (- x y)))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y))))))) |
(+ (* -1/4 (pow x 2)) (pow x 2)) |
(+ (* -1/4 (pow x 2)) (+ (* 1/2 (* x y)) (pow x 2))) |
(+ (* -1/4 (pow x 2)) (+ (* y (+ (* -1/4 y) (* 1/2 x))) (pow x 2))) |
(+ (* -2 (* x y)) (pow x 2)) |
(+ (* y (+ y (* -2 x))) (pow x 2)) |
(* y (- (/ x y) 1)) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (- x y)))))) |
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y)))))))) |
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y))))))) (+ (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y)))))))) |
(* (pow y 2) (- (* 1/2 (/ x y)) 1/4)) |
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ x y)) (/ (pow x 2) (pow y 2)))) 1/4)) |
(* (pow y 2) (+ 1 (* -2 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fabs (+ x (* -1 y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(fabs (neg (+ x (* -1 y)))) |
(* -1 (* y (- (/ x y) 1))) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(/ 2 (fabs (+ x (* -1 y)))) |
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) |
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y))))))))) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) y)) (* -1/2 (/ x (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) y)) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y))))))))) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) y)) (* -1/2 x)) y)) 1/4)) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y)))) |
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y)))))) |
(+ x (* -1/2 (fabs (+ x (* -1 y))))) |
| Outputs |
|---|
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(+ x (* 1/2 (fabs (- x y)))) |
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(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(fabs (neg (+ x (* -1 y)))) |
(fabs.f64 (-.f64 x y)) |
(* -1 (* y (- (/ x y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) 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))) |
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) (*.f64 y y)) |
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y))))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) (*.f64 y y)) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) y)) (* -1/2 (/ x (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) y)) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y))))))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) (/.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) y)) y)) (*.f64 y y)) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) y)) (* -1/2 x)) y)) 1/4)) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (*.f64 x (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) x)) y)) (*.f64 y y)) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 x y))) y)) (*.f64 y y)) |
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y)))))) |
(fma.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x) |
(+ x (* -1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 163 |
| 0 | 66 | 154 |
| 1 | 254 | 150 |
| 2 | 1731 | 141 |
| 0 | 9304 | 141 |
| 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) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
(/.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 (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)) |
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) |
(pow.f64 (-.f64 x y) #s(literal 2 binary64)) |
(fma.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 y x)) #s(literal -1 binary64)) x) |
(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal -1 binary64)) |
(/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.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) (-.f64 x y) x))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(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) (-.f64 x y) x))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.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) (-.f64 x y) x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.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) (-.f64 x y) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (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) (-.f64 x y) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.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) (-.f64 x y) x))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 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 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) x) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 1/2 binary64)) x) |
(fma.f64 (neg.f64 (-.f64 x y)) #s(literal -1/2 binary64) x) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) #s(literal -1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 x y)) x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) |
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) |
(*.f64 (/.f64 (+.f64 y x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x (+.f64 y x))))) |
(*.f64 (/.f64 (+.f64 y x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (/.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 (/.f64 (+.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 x y) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (-.f64 x y)) |
(*.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 x y))) (fabs.f64 (sqrt.f64 (-.f64 x y)))) |
(*.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (-.f64 x y)) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1 binary64)) (pow.f64 (-.f64 y x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x)) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x 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))) |
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 (+.f64 y x) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (-.f64 x y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
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(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (*.f64 x (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) |
(fma.f64 (-.f64 x y) #s(literal -1/2 binary64) x) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)))) |
(-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x) |
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) |
(+.f64 x (*.f64 (neg.f64 (-.f64 x y)) #s(literal 1/2 binary64))) |
(+.f64 x (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) |
(+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) |
(*.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 (+.f64 (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))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.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 (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 (+.f64 (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 (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 (-.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 (+.f64 (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 (+.f64 (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 (+.f64 (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 (+.f64 (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))) (+.f64 (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))) (+.f64 (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)) |
Compiled 23 363 to 3 041 computations (87% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 863 | 12 | 875 |
| Fresh | 2 | 1 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 869 | 14 | 883 |
| Status | Accuracy | Program |
|---|---|---|
| 33.0% | (fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) #s(literal 1/2 binary64) x) | |
| ▶ | 55.2% | (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) |
| 50.5% | (fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.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) |
| ▶ | 85.6% | (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) |
| 60.0% | (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) | |
| ▶ | 27.5% | (/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
| 48.6% | (+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 2 binary64))) | |
| 55.2% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))) | |
| ▶ | 11.1% | #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
| 56.0% | #s(approx (+ (* (pow (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (pow (fabs (+ y x)) -1)) x) (fma.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x)) | |
| ▶ | 85.5% | #s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
| 54.2% | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) | |
| 7.0% | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
Compiled 441 to 318 computations (27.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 3/4 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) | |
| cost-diff | 0 | (fabs.f64 (-.f64 x y)) | |
| cost-diff | 0 | (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) | |
| cost-diff | 4 | (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (*.f64 #s(literal 3/4 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) 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 | 4 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 219 |
| 0 | 61 | 231 |
| 1 | 89 | 231 |
| 2 | 131 | 231 |
| 3 | 255 | 231 |
| 4 | 741 | 197 |
| 5 | 1927 | 197 |
| 6 | 4098 | 197 |
| 7 | 7706 | 197 |
| 0 | 8294 | 191 |
| 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) |
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
(*.f64 #s(literal 3/4 binary64) x) |
#s(literal 3/4 binary64) |
x |
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) |
(-.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
x |
y |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
#s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3/4 binary64)) |
(*.f64 x x) |
x |
#s(literal 3/4 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) |
y |
| 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)) |
(/.f64 (-.f64 x y) x) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
(*.f64 #s(literal 3/4 binary64) x) |
#s(literal 3/4 binary64) |
x |
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) |
(-.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(fabs.f64 (-.f64 x y)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 x y) |
x |
y |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) |
#s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3/4 binary64)) |
(*.f64 x x) |
x |
#s(literal 3/4 binary64) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(fabs.f64 (-.f64 x y)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 x y) |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) | |
| accuracy | 0.15625 | (*.f64 (*.f64 x x) #s(literal 3/4 binary64)) | |
| accuracy | 28.14876151417814 | (/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) | |
| accuracy | 31.059386229337036 | #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) | |
| accuracy | 0.0 | (fabs.f64 (-.f64 x y)) | |
| accuracy | 0.0 | #s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) | |
| accuracy | 0.1171875 | (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) | |
| accuracy | 9.224176676160372 | (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.09765625 | (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) | |
| accuracy | 0.0 | (*.f64 #s(literal 3/4 binary64) x) | |
| accuracy | 56.92525714754258 | #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) 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 | 0.04296875 | (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 | 9.183162609819934 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
| 43.0ms | 227× | 0 | valid |
| 18.0ms | 15× | 1 | valid |
| 6.0ms | 9× | 2 | valid |
| 4.0ms | 5× | 3 | valid |
Compiled 176 to 31 computations (82.4% saved)
ival-mult: 24.0ms (48.7% of total)ival-add: 8.0ms (16.2% of total)ival-div: 7.0ms (14.2% of total)ival-pow2: 3.0ms (6.1% of total)ival-sub: 3.0ms (6.1% of total)adjust: 2.0ms (4.1% of total)ival-fabs: 2.0ms (4.1% of total)exact: 1.0ms (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)) |
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
(*.f64 #s(literal 3/4 binary64) x) |
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) |
(-.f64 x y) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
#s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fabs.f64 (-.f64 x y)) |
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
#s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3/4 binary64)) |
(*.f64 x x) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) 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 (/ (pow y 2) (fabs (- x y)))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(* 3/4 x) |
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(* 1/2 (/ (fabs (- x y)) x)) |
(/ (+ x (* 1/2 (fabs (- x y)))) x) |
(* -1/4 (pow y 2)) |
(+ (* -1/4 (pow y 2)) (* 1/2 (* x y))) |
(+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x)))) |
(* 3/4 (pow x 2)) |
(pow x 2) |
(* -1/2 (fabs (- x y))) |
(+ x (* -1/2 (fabs (- x y)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x)))) |
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x))))) |
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x))))) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
1 |
(+ 1 (* 1/2 (/ (fabs (- x y)) x))) |
(* (pow x 2) (+ 3/4 (* 1/2 (/ y x)))) |
(* (pow x 2) (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x))))) |
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x)))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(fabs (neg (+ y (* -1 x)))) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(+ 1 (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x))) |
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x)))) |
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(/ (+ (* -1/4 (pow x 2)) (pow x 2)) (+ x (* -1/2 (fabs (- x y))))) |
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* 1/2 (/ (* x y) (+ x (* -1/2 (fabs (- x y)))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y))))))) |
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* y (+ (* -1/4 (/ y (+ x (* -1/2 (fabs (- x y)))))) (* 1/2 (/ x (+ x (* -1/2 (fabs (- x y)))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y))))))) |
(+ x (* 1/2 x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ (* -1/4 (pow x 2)) (pow x 2)) |
(+ (* -1/4 (pow x 2)) (+ (* 1/2 (* x y)) (pow x 2))) |
(+ (* -1/4 (pow x 2)) (+ (* y (+ (* -1/4 y) (* 1/2 x))) (pow x 2))) |
(* y (- (/ x y) 1)) |
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (- x y)))))) |
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y)))))))) |
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y))))))) (+ (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y)))))))) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* (pow y 2) (- (* 1/2 (/ x y)) 1/4)) |
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ x y)) (/ (pow x 2) (pow y 2)))) 1/4)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fabs (+ x (* -1 y))) |
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) |
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y))))))))) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) y)) (* -1/2 (/ x (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) y)) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y))))))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* x (+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x)))) |
(+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x))) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) y)) (* -1/2 x)) y)) 1/4)) |
(+ x (* -1/2 (fabs (+ x (* -1 y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | y | @ | inf | ((* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (+ (* (- x y) 1/2) x) (- x y) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) 1/2) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fabs (- x y)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (* (* x x) 3/4) (* x x) (+ (* -1/2 (fabs (- x y))) x)) |
| 3.0ms | x | @ | -inf | ((* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (+ (* (- x y) 1/2) x) (- x y) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) 1/2) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fabs (- x y)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (* (* x x) 3/4) (* x x) (+ (* -1/2 (fabs (- x y))) x)) |
| 2.0ms | x | @ | inf | ((* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (+ (* (- x y) 1/2) x) (- x y) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) 1/2) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fabs (- x y)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (* (* x x) 3/4) (* x x) (+ (* -1/2 (fabs (- x y))) x)) |
| 2.0ms | y | @ | -inf | ((* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (+ (* (- x y) 1/2) x) (- x y) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) 1/2) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fabs (- x y)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (* (* x x) 3/4) (* x x) (+ (* -1/2 (fabs (- x y))) x)) |
| 2.0ms | x | @ | 0 | ((* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (+ (* (- x y) 1/2) x) (- x y) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) 1/2) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fabs (- x y)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (* (* x x) 3/4) (* x x) (+ (* -1/2 (fabs (- x y))) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 278 | 1291 |
| 1 | 844 | 1221 |
| 2 | 2461 | 1146 |
| 0 | 8258 | 1061 |
| 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 (/ (pow y 2) (fabs (- x y)))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(* 3/4 x) |
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(* 1/2 (/ (fabs (- x y)) x)) |
(/ (+ x (* 1/2 (fabs (- x y)))) x) |
(* -1/4 (pow y 2)) |
(+ (* -1/4 (pow y 2)) (* 1/2 (* x y))) |
(+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x)))) |
(* 3/4 (pow x 2)) |
(pow x 2) |
(* -1/2 (fabs (- x y))) |
(+ x (* -1/2 (fabs (- x y)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x)))) |
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x))))) |
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x))))) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
1 |
(+ 1 (* 1/2 (/ (fabs (- x y)) x))) |
(* (pow x 2) (+ 3/4 (* 1/2 (/ y x)))) |
(* (pow x 2) (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x))))) |
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x)))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(fabs (neg (+ y (* -1 x)))) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(+ 1 (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x))) |
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x)))) |
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(/ (+ (* -1/4 (pow x 2)) (pow x 2)) (+ x (* -1/2 (fabs (- x y))))) |
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* 1/2 (/ (* x y) (+ x (* -1/2 (fabs (- x y)))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y))))))) |
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* y (+ (* -1/4 (/ y (+ x (* -1/2 (fabs (- x y)))))) (* 1/2 (/ x (+ x (* -1/2 (fabs (- x y)))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y))))))) |
(+ x (* 1/2 x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ (* -1/4 (pow x 2)) (pow x 2)) |
(+ (* -1/4 (pow x 2)) (+ (* 1/2 (* x y)) (pow x 2))) |
(+ (* -1/4 (pow x 2)) (+ (* y (+ (* -1/4 y) (* 1/2 x))) (pow x 2))) |
(* y (- (/ x y) 1)) |
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (- x y)))))) |
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y)))))))) |
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y))))))) (+ (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y)))))))) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* (pow y 2) (- (* 1/2 (/ x y)) 1/4)) |
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ x y)) (/ (pow x 2) (pow y 2)))) 1/4)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fabs (+ x (* -1 y))) |
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) |
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y))))))))) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) y)) (* -1/2 (/ x (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) y)) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y))))))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* x (+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x)))) |
(+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x))) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) y)) (* -1/2 x)) y)) 1/4)) |
(+ x (* -1/2 (fabs (+ x (* -1 y))))) |
| Outputs |
|---|
(* -1 y) |
(neg.f64 y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* 1/2 (fabs (- x y))) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(- x y) |
(-.f64 x y) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 y x))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 (/.f64 y (fabs.f64 (-.f64 y x))) (+.f64 (/.f64 y (fabs.f64 (-.f64 y x))) #s(literal -1 binary64))) x)) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y (fabs.f64 (-.f64 y x))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 y (fabs.f64 (-.f64 y x))) (+.f64 (/.f64 y (fabs.f64 (-.f64 y x))) #s(literal -1 binary64))) (fabs.f64 (-.f64 y x))) #s(literal 2 binary64) (/.f64 #s(literal -3/2 binary64) (fabs.f64 (-.f64 y x)))) x (*.f64 (/.f64 y (fabs.f64 (-.f64 y x))) (+.f64 (/.f64 y (fabs.f64 (-.f64 y x))) #s(literal -1 binary64)))) x)) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y (fabs.f64 (-.f64 y x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 x (fabs.f64 (-.f64 y x))) (fma.f64 #s(literal 2 binary64) (-.f64 (/.f64 y (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (/.f64 (*.f64 y y) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)))) (/.f64 #s(literal 3/2 binary64) (fabs.f64 (-.f64 y x)))) (/.f64 (*.f64 (/.f64 y (fabs.f64 (-.f64 y x))) (+.f64 (/.f64 y (fabs.f64 (-.f64 y x))) #s(literal -1 binary64))) (neg.f64 (fabs.f64 (-.f64 y x))))) #s(literal -2 binary64) (/.f64 #s(literal -3/2 binary64) (fabs.f64 (-.f64 y x)))) x (*.f64 (/.f64 y (fabs.f64 (-.f64 y x))) (+.f64 (/.f64 y (fabs.f64 (-.f64 y x))) #s(literal -1 binary64)))) x)) |
(* 3/4 x) |
(*.f64 #s(literal 3/4 binary64) x) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 y) (* 3/2 x)) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* 1/2 (/ (fabs (- x y)) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x))) |
(/ (+ x (* 1/2 (fabs (- x y)))) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) x) |
(* -1/4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/4 binary64)) |
(+ (* -1/4 (pow y 2)) (* 1/2 (* x y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/4 binary64) y)) y) |
(+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/4 binary64) y)) y (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) |
(* 3/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/4 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* -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) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 (/.f64 (neg.f64 y) x) x x) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64)) x) |
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3/4 binary64)) x) |
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) y) x) (/.f64 y x) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 3/4 binary64))) (*.f64 (fabs.f64 (-.f64 y x)) (fma.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) #s(literal -1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)))) x) |
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) y) x) (/.f64 y x) (-.f64 (fma.f64 (fma.f64 (/.f64 (fabs.f64 (-.f64 y x)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 y x)) (*.f64 (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 y x)) #s(literal 1/2 binary64) #s(literal 3/4 binary64)) (*.f64 (fabs.f64 (-.f64 y x)) (fma.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) #s(literal -1/2 binary64) (/.f64 #s(literal -3/8 binary64) x))))) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (fabs (- x y)) x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 3/4 (* 1/2 (/ y x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 3/4 binary64)) x) x) |
(* (pow x 2) (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) y) x) (/.f64 y x) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 3/4 binary64))) (*.f64 x x)) |
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 (neg.f64 y) x) x x) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal -1 binary64)) (neg.f64 x)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 y x)) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3/4 binary64)) x) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (fma.f64 #s(literal 1/2 binary64) y (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 #s(literal 1/2 binary64) y)) (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)))) x))) x) #s(literal 3/4 binary64)) x) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (fma.f64 #s(literal 1/2 binary64) y (/.f64 (fma.f64 (*.f64 (fabs.f64 (-.f64 y x)) (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) x) (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 #s(literal 1/2 binary64) y)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 x)))) x) #s(literal 3/4 binary64)) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -3/2 binary64)) (neg.f64 x)) |
(+ 1 (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)) x) x) |
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal -1 binary64)) (neg.f64 x)) |
(/ (+ (* -1/4 (pow x 2)) (pow x 2)) (+ x (* -1/2 (fabs (- x y))))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 3/4 binary64)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) |
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* 1/2 (/ (* x y) (+ x (* -1/2 (fabs (- x y)))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y))))))) |
(fma.f64 (/.f64 #s(literal 3/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) (*.f64 x x) (/.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))) |
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* y (+ (* -1/4 (/ y (+ x (* -1/2 (fabs (- x y)))))) (* 1/2 (/ x (+ x (* -1/2 (fabs (- x y)))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y))))))) |
(fma.f64 (/.f64 #s(literal 3/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) (*.f64 x x) (*.f64 (/.f64 y (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/4 binary64) y)))) |
(+ x (* 1/2 x)) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1/4 (pow x 2)) (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/4 binary64)) |
(+ (* -1/4 (pow x 2)) (+ (* 1/2 (* x y)) (pow x 2))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) x (*.f64 #s(literal 1/2 binary64) y)) x) |
(+ (* -1/4 (pow x 2)) (+ (* y (+ (* -1/4 y) (* 1/2 x))) (pow x 2))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/4 binary64) y)) y (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) |
(* y (- (/ x y) 1)) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (- x y)))))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) (*.f64 y y)) |
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y)))))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) x (/.f64 #s(literal -1/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))) (*.f64 y y)) |
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y))))))) (+ (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y)))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 1 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) (*.f64 (/.f64 x (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) (+.f64 (/.f64 (/.f64 x y) y) (/.f64 #s(literal 1/2 binary64) y)))) y) y) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal -1/2 binary64)) y) |
(* (pow y 2) (- (* 1/2 (/ x y)) 1/4)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/4 binary64)) y) y) |
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ x y)) (/ (pow x 2) (pow y 2)))) 1/4)) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) (*.f64 (/.f64 (/.f64 x y) y) x) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/4 binary64))) (*.f64 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 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 y x)) |
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) (*.f64 y y)) |
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y))))))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) x (/.f64 #s(literal -1/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))) (*.f64 y y)) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) y)) (* -1/2 (/ x (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) y)) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y))))))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) x (*.f64 (*.f64 x (/.f64 (/.f64 x y) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))) #s(literal -3/4 binary64))) y)) (*.f64 y y)) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal -1/2 binary64)) y) |
(* x (+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64)) x) |
(+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) y)) (* -1/2 x)) y)) 1/4)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -3/4 binary64) (*.f64 #s(literal -1/2 binary64) x)) y)) y) y) |
(+ x (* -1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 181 |
| 0 | 61 | 180 |
| 1 | 209 | 180 |
| 2 | 1475 | 172 |
| 0 | 8791 | 169 |
| 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)) |
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
(*.f64 #s(literal 3/4 binary64) x) |
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) |
(-.f64 x y) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
#s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fabs.f64 (-.f64 x y)) |
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
#s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3/4 binary64)) |
(*.f64 x x) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) x) (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #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)))) (pow.f64 (+.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 3 binary64)))) (pow.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 y) x) x) (*.f64 (/.f64 (neg.f64 y) x) x)) (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (neg.f64 y) x) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (neg.f64 y) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x (/.f64 (neg.f64 y) x)) (*.f64 x (/.f64 (neg.f64 y) x))) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (neg.f64 y) x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) x)) (neg.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (neg.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 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 #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 (*.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 #s(literal 1 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) (neg.f64 (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (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 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 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) (neg.f64 (*.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 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.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)) (*.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (*.f64 #s(literal 1/2 binary64) x)))))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 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))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.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))) #s(literal 3 binary64))) (fma.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 (*.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))) (fma.f64 (/.f64 (*.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))) (/.f64 (*.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))) (*.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 (*.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))))))) |
(/.f64 (neg.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)))) (neg.f64 (-.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 (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) (neg.f64 (*.f64 x x))))) (neg.f64 (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 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.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 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 (-.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)))) |
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(*.f64 (/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) |
(*.f64 (/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))) |
(*.f64 (*.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64)) #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))) |
(*.f64 (neg.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))) (pow.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)) #s(literal -1 binary64))) |
(*.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) |
(pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))))) |
(/.f64 (*.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))))) |
(/.f64 (neg.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) |
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) (*.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) |
(neg.f64 (/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) (/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))))) #s(literal -1 binary64))) |
#s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3/4 binary64)) |
(*.f64 (*.f64 #s(literal 3/4 binary64) x) x) |
(*.f64 #s(literal 3/4 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 3/4 binary64) x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x))))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) |
(fma.f64 (-.f64 x y) #s(literal -1/2 binary64) x) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x) |
(+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) |
Compiled 16 234 to 1 782 computations (89% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 509 | 3 | 512 |
| Fresh | 5 | 3 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 517 | 9 | 526 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 55.2% | (fma.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) |
| ▶ | 60.0% | (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
| ✓ | 11.1% | #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
| 55.3% | #s(approx (+ (* (- x y) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) | |
| ▶ | 29.1% | #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
| ▶ | 27.8% | #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
| ▶ | 54.2% | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) |
| ▶ | 7.0% | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
Compiled 193 to 150 computations (22.3% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- y x) (neg.f64 x)) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- y x) (neg.f64 x))) | |
| cost-diff | 0 | (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 3/2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 129 |
| 0 | 40 | 129 |
| 1 | 57 | 129 |
| 2 | 73 | 129 |
| 3 | 115 | 129 |
| 4 | 195 | 129 |
| 5 | 269 | 129 |
| 6 | 408 | 129 |
| 7 | 670 | 129 |
| 8 | 757 | 129 |
| 9 | 848 | 129 |
| 10 | 891 | 129 |
| 11 | 905 | 129 |
| 12 | 910 | 129 |
| 13 | 912 | 129 |
| 0 | 912 | 125 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(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 |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
(*.f64 #s(literal 3/2 binary64) x) |
#s(literal 3/2 binary64) |
x |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
(-.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) |
(fabs.f64 #s(approx (- y x) (neg.f64 x))) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) 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 |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
(*.f64 #s(literal 3/2 binary64) x) |
#s(literal 3/2 binary64) |
x |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 x y)) |
(-.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) |
(fabs.f64 #s(approx (- y x) (neg.f64 x))) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(literal 1/2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0 | (fabs.f64 #s(approx (- y x) (neg.f64 x))) | |
| accuracy | 28.723915539957606 | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) | |
| accuracy | 32.83475594660036 | #s(approx (- y x) (neg.f64 x)) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) | |
| accuracy | 29.284228772806873 | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 3/2 binary64) x) | |
| accuracy | 32.85517530126693 | #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 30.558429443807043 | #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.0 | (fabs.f64 #s(approx (- x y) (neg.f64 y))) | |
| accuracy | 0.04296875 | (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) | |
| accuracy | 30.517085740043168 | #s(approx (- x y) (neg.f64 y)) |
| 71.0ms | 236× | 0 | valid |
| 3.0ms | 11× | 1 | valid |
| 2.0ms | 6× | 2 | valid |
| 1.0ms | 3× | 3 | valid |
Compiled 90 to 23 computations (74.4% saved)
ival-mult: 47.0ms (75.7% of total)ival-add: 4.0ms (6.4% of total)ival-sub: 3.0ms (4.8% of total)ival-fabs: 3.0ms (4.8% of total)ival-div: 2.0ms (3.2% of total)ival-neg: 2.0ms (3.2% of total)adjust: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(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) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
(*.f64 #s(literal 3/2 binary64) x) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
(-.f64 x y) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) |
(fabs.f64 #s(approx (- y x) (neg.f64 x))) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(* 1/2 (fabs (- x y))) |
(+ x (* 1/2 (fabs (- x y)))) |
(fabs (- x y)) |
(* -1 y) |
(- x y) |
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(* 3/2 x) |
(* 1/2 (fabs (- y x))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ (* -1/2 y) (* 1/2 x)) |
(fabs (- y x)) |
y |
(+ y (* -1 x)) |
(* -1 x) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (- (/ y x) 1)) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(fabs (neg (+ y (* -1 x)))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(fabs (+ y (* -1 x))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(+ x (* -1 y)) |
(+ x (* 1/2 x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(- y x) |
(* y (- (/ x y) 1)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (+ 1 (* -1 (/ x y)))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fabs (+ x (* -1 y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* 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 | y | @ | -inf | ((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (+ (* (- x y) 1/2) x) (* -1/2 y) (+ (* (- x y) 1/2) x) (* 3/2 x) (+ x (/ (fabs (- y x)) 2)) (* (- x y) 1/2) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (neg x)) |
| 1.0ms | y | @ | inf | ((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (+ (* (- x y) 1/2) x) (* -1/2 y) (+ (* (- x y) 1/2) x) (* 3/2 x) (+ x (/ (fabs (- y x)) 2)) (* (- x y) 1/2) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (neg x)) |
| 1.0ms | x | @ | -inf | ((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (+ (* (- x y) 1/2) x) (* -1/2 y) (+ (* (- x y) 1/2) x) (* 3/2 x) (+ x (/ (fabs (- y x)) 2)) (* (- x y) 1/2) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (neg x)) |
| 1.0ms | x | @ | inf | ((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (+ (* (- x y) 1/2) x) (* -1/2 y) (+ (* (- x y) 1/2) x) (* 3/2 x) (+ x (/ (fabs (- y x)) 2)) (* (- x y) 1/2) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (neg x)) |
| 1.0ms | x | @ | 0 | ((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (+ (* (- x y) 1/2) x) (* -1/2 y) (+ (* (- x y) 1/2) x) (* 3/2 x) (+ x (/ (fabs (- y x)) 2)) (* (- x y) 1/2) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 243 |
| 1 | 271 | 243 |
| 2 | 679 | 243 |
| 3 | 2317 | 233 |
| 4 | 5778 | 233 |
| 5 | 7339 | 233 |
| 0 | 8002 | 219 |
| 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) |
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(* 3/2 x) |
(* 1/2 (fabs (- y x))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ (* -1/2 y) (* 1/2 x)) |
(fabs (- y x)) |
y |
(+ y (* -1 x)) |
(* -1 x) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (- (/ y x) 1)) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(fabs (neg (+ y (* -1 x)))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(fabs (+ y (* -1 x))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(+ x (* -1 y)) |
(+ x (* 1/2 x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(- y x) |
(* y (- (/ x y) 1)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (+ 1 (* -1 (/ x y)))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fabs (+ x (* -1 y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(fabs (neg (+ x (* -1 y)))) |
(* -1 (* y (- (/ x y) 1))) |
| Outputs |
|---|
(* 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)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 y) (* 3/2 x)) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 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) |
(+ (* -1/2 y) (* 1/2 x)) |
(*.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(* -1 x) |
(neg.f64 x) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(*.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 y x)) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(fabs (+ y (* -1 x))) |
(fabs.f64 (-.f64 y x)) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* 1/2 x)) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(- y x) |
(-.f64 y x) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(+ 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)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(*.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(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 | 29 | 117 |
| 0 | 40 | 117 |
| 1 | 123 | 117 |
| 2 | 803 | 117 |
| 0 | 9171 | 113 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
(*.f64 #s(literal 3/2 binary64) x) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
(-.f64 x y) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) |
(fabs.f64 #s(approx (- y x) (neg.f64 x))) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))))) (*.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)))))) |
(*.f64 (fma.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) (neg.f64 x)))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1/2 binary64)) (+.f64 y x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 y x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) |
(*.f64 #s(literal -1 binary64) (-.f64 y x)) |
(*.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 y x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (+.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 y y))) (*.f64 (+.f64 y x) (+.f64 y x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (neg.f64 y) x)) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (+.f64 y x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(neg.f64 (-.f64 y x)) |
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 y)) |
(fma.f64 #s(literal -1 binary64) y x) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 y)) |
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (neg.f64 y)) |
(fma.f64 y #s(literal -1 binary64) x) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 y)) |
(-.f64 (/.f64 (*.f64 y y) (neg.f64 (+.f64 y x))) (/.f64 (*.f64 x x) (neg.f64 (+.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 y x)) |
(-.f64 (neg.f64 y) (neg.f64 x)) |
(-.f64 x y) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (+.f64 y x))) (/.f64 (*.f64 x x) (+.f64 y x))) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(+.f64 #s(literal 0 binary64) (-.f64 x y)) |
(+.f64 (neg.f64 y) x) |
(+.f64 x (neg.f64 y)) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- y x) (neg.f64 x)))) |
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (- y x) (neg.f64 x)))) |
(fabs.f64 (-.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 0 binary64))) |
(fabs.f64 (neg.f64 #s(approx (- y x) (neg.f64 x)))) |
(fabs.f64 #s(approx (- y x) (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- y x) (neg.f64 x)))) |
(*.f64 #s(literal 1 binary64) #s(approx (- y x) (neg.f64 x))) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 (neg.f64 #s(approx (- y x) (neg.f64 x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- y x) (neg.f64 x)))) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) x) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 5 817 to 841 computations (85.5% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 224 | 1 | 225 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 1 | 2 | 3 |
| Total | 225 | 9 | 234 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 55.2% | (fma.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) |
| ✓ | 60.0% | (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
| 55.3% | #s(approx (+ (* (- x y) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) | |
| ✓ | 29.1% | #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
| ✓ | 27.8% | #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
| ✓ | 54.2% | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) |
| ✓ | 7.0% | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
| 29.8% | #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) |
Compiled 493 to 212 computations (57% saved)
| Inputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
#s(approx (+ (* (- x y) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 2 binary64))) |
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
#s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) 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) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) #s(literal 1/2 binary64) x) |
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
#s(approx (+ (* (pow (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (pow (fabs (+ y x)) -1)) x) (fma.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x)) |
(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x) |
(+.f64 x (/.f64 (*.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 y x)))) |
(/.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)) |
(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) |
(fma.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 y x)) #s(literal -1 binary64)) x) |
| Outputs |
|---|
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
3 calls:
| 35.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 7.0ms | x |
| 7.0ms | y |
| 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)
| Inputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
#s(approx (+ (* (- x y) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
| Outputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
#s(approx (+ (* (- x y) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
3 calls:
| 8.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.3% | 3 | x |
| 75.3% | 2 | y |
| 86.5% | 5 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
| Outputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) |
| Outputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) |
3 calls:
| 3.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.0% | 2 | y |
| 74.8% | 2 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 74.5% | 2 | x |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
2 calls:
| 14.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.9% | 2 | x |
| 56.3% | 2 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
| Outputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
3 calls:
| 2.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.3% | 4 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 46.6% | 2 | y |
| 57.7% | 3 | x |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
| Outputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
2 calls:
| 1.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.0% | 2 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 44.5% | 2 | x |
Compiled 9 to 9 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) |
| Outputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #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 |
|---|---|---|
| 29.8% | 1 | x |
| 29.8% | 1 | y |
| 29.8% | 1 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
Compiled 10 to 11 computations (-10% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 6.1263879844907145e-111 | 3.552542101513421e-105 |
| 17.0ms | -206256221821223.03 | -2905607407735.687 |
| 19.0ms | 249× | 0 | valid |
| 1.0ms | 7× | 1 | valid |
Compiled 395 to 348 computations (11.9% saved)
ival-div: 2.0ms (30% of total)ival-fabs: 2.0ms (30% of total)ival-sub: 2.0ms (30% of total)ival-add: 1.0ms (15% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.1263879844907145e-111 | 3.552542101513421e-105 |
| 1.0ms | -206256221821223.03 | -2905607407735.687 |
Compiled 323 to 294 computations (9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.1263879844907145e-111 | 3.552542101513421e-105 |
| 6.0ms | -206256221821223.03 | -2905607407735.687 |
| 3.0ms | 64× | 0 | valid |
Compiled 403 to 358 computations (11.2% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-fabs: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.610733023713806e-209 | 1.6362870502103942e-256 |
Compiled 11 to 12 computations (-9.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 7208956654857.17 | 440106970441785500.0 |
| 6.0ms | 128× | 0 | valid |
Compiled 211 to 188 computations (10.9% saved)
ival-sub: 1.0ms (32.3% of total)ival-div: 1.0ms (32.3% of total)ival-add: 1.0ms (32.3% of total)ival-fabs: 1.0ms (32.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.4778359164102186e-147 | 9.729897451044821e-145 |
| 4.0ms | -206256221821223.03 | -2905607407735.687 |
| 6.0ms | 123× | 0 | valid |
| 0.0ms | 5× | 1 | valid |
Compiled 390 to 347 computations (11% saved)
ival-div: 1.0ms (31.1% of total)ival-add: 1.0ms (31.1% of total)ival-fabs: 1.0ms (31.1% of total)ival-sub: 1.0ms (31.1% 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)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.607723592726365e-227 | 1.074678635404868e-222 |
Compiled 11 to 12 computations (-9.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 304 |
| 1 | 85 | 304 |
| 2 | 120 | 304 |
| 3 | 203 | 304 |
| 4 | 363 | 304 |
| 5 | 774 | 304 |
| 6 | 1426 | 304 |
| 7 | 5085 | 304 |
| 8 | 7171 | 304 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(if (<=.f64 x #s(literal -42000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 5784239726914675/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) #s(approx (+ (* (- x y) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))) |
(if (<=.f64 x #s(literal -42000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 5784239726914675/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))) |
(if (<=.f64 x #s(literal -28000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 5784239726914675/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))) |
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal -3701491575958035/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)) |
(if (<=.f64 x #s(literal 7400000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))) |
(if (<=.f64 x #s(literal -28000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) (if (<=.f64 x #s(literal 6678075163775057/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))) |
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 5334411546303883/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #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) |
(if (<=.f64 x #s(literal -42000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 5784239726914675/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) #s(approx (+ (* (- x y) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))) |
(if (<=.f64 x #s(literal -42000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 5784239726914675/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))) |
(if (<=.f64 x #s(literal -28000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 5784239726914675/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))) |
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal -3701491575958035/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)) |
(if (<=.f64 x #s(literal 7400000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))) |
(if (<=.f64 x #s(literal -28000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) (if (<=.f64 x #s(literal 6678075163775057/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))) |
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 5334411546303883/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 278 | 1291 |
| 1 | 844 | 1221 |
| 2 | 2461 | 1146 |
| 0 | 8258 | 1061 |
| 0 | 7 | 21 |
| 0 | 11 | 21 |
| 1 | 51 | 21 |
| 2 | 380 | 21 |
| 3 | 5351 | 21 |
| 0 | 8398 | 20 |
| 0 | 37 | 163 |
| 0 | 66 | 154 |
| 1 | 254 | 150 |
| 2 | 1731 | 141 |
| 0 | 9304 | 141 |
| 0 | 43 | 84 |
| 1 | 115 | 84 |
| 2 | 264 | 84 |
| 3 | 772 | 84 |
| 4 | 2395 | 84 |
| 5 | 3272 | 84 |
| 6 | 4305 | 84 |
| 7 | 5163 | 84 |
| 8 | 5738 | 84 |
| 9 | 6226 | 84 |
| 10 | 7915 | 84 |
| 0 | 8005 | 80 |
| 0 | 353 | 1621 |
| 1 | 1049 | 1556 |
| 2 | 2815 | 1471 |
| 0 | 8433 | 1376 |
| 0 | 98 | 243 |
| 1 | 271 | 243 |
| 2 | 679 | 243 |
| 3 | 2317 | 233 |
| 4 | 5778 | 233 |
| 5 | 7339 | 233 |
| 0 | 8002 | 219 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 777 to 433 computations (44.3% saved)
Compiled 624 to 142 computations (77.2% saved)
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