
Time bar (total: 5.6s)
| 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 9 to 8 computations (11.1% saved)
| 680.0ms | 8 256× | 0 | valid |
ival-pow: 361.0ms (86.4% of total)ival-sub: 40.0ms (9.6% of total)ival-true: 6.0ms (1.4% of total)exact: 5.0ms (1.2% of total)ival-assert: 3.0ms (0.7% of total)adjust: 2.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 32 | 0 | - | 0 | - | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (pow.f64 x #s(literal 4 binary64)) |
| 0 | 0 | - | 0 | - | (pow.f64 y #s(literal 4 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) | nan-rescue | 32 | 0 |
| ↳ | (pow.f64 x #s(literal 4 binary64)) | overflow | 90 | |
| ↳ | (pow.f64 y #s(literal 4 binary64)) | overflow | 93 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 32 | 0 |
| - | 0 | 224 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 32 | 0 | 0 |
| - | 0 | 0 | 224 |
| number | freq |
|---|---|
| 0 | 224 |
| 1 | 32 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 512× | 0 | valid |
Compiled 43 to 22 computations (48.8% saved)
ival-pow: 16.0ms (82.6% of total)ival-sub: 2.0ms (10.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 41 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 0 | 9 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| Outputs |
|---|
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.5% | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
Compiled 7 to 6 computations (14.3% saved)
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 y #s(literal 4 binary64)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 0 | 9 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(pow.f64 y #s(literal 4 binary64)) |
y |
| Outputs |
|---|
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(pow.f64 y #s(literal 4 binary64)) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 y #s(literal 4 binary64)) | |
| accuracy | 0.0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 7.144500287453088 | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| 15.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-pow: 7.0ms (79.2% of total)ival-sub: 1.0ms (11.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 y #s(literal 4 binary64)) |
| Outputs |
|---|
(* -1 (pow y 4)) |
(- (pow x 4) (pow y 4)) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(pow y 4) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | ((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4)) |
| 1.0ms | x | @ | 0 | ((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4)) |
| 1.0ms | x | @ | inf | ((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4)) |
| 1.0ms | y | @ | inf | ((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4)) |
| 1.0ms | y | @ | -inf | ((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 44 |
| 1 | 37 | 44 |
| 2 | 80 | 44 |
| 3 | 207 | 44 |
| 4 | 572 | 44 |
| 5 | 1611 | 44 |
| 6 | 2874 | 44 |
| 7 | 3185 | 44 |
| 8 | 3269 | 44 |
| 9 | 3360 | 44 |
| 10 | 3486 | 44 |
| 11 | 3687 | 44 |
| 12 | 4676 | 44 |
| 13 | 5346 | 44 |
| 14 | 5958 | 44 |
| 15 | 6564 | 44 |
| 0 | 8181 | 44 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (pow y 4)) |
(- (pow x 4) (pow y 4)) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(pow y 4) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
| Outputs |
|---|
(* -1 (pow y 4)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(- (pow x 4) (pow y 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 34 | 13 |
| 2 | 224 | 13 |
| 3 | 2138 | 13 |
| 0 | 9927 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 y #s(literal 4 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (-.f64 (pow.f64 x #s(literal 16 binary64)) (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (*.f64 y x) #s(literal 8 binary64))))) (-.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (*.f64 y x) #s(literal 8 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 24 binary64)))) (fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 16 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (-.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y))) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y y (*.f64 x x))) |
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(*.f64 (-.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (-.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (-.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (-.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 y) y)) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 y) y)) (*.f64 y y)) (*.f64 (neg.f64 (*.f64 (neg.f64 y) y)) (*.f64 y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 y) y)) (*.f64 y y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
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(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))) |
(sqrt.f64 (pow.f64 x #s(literal 8 binary64))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(fabs.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(fabs.f64 (pow.f64 x #s(literal 4 binary64))) |
(exp.f64 (/.f64 (*.f64 #s(literal 8 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))))) |
(+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y)))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 y) y) y)) y) |
(*.f64 (fabs.f64 (pow.f64 y #s(literal 3 binary64))) y) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 y) y)) (sqrt.f64 (pow.f64 y #s(literal 6 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 6 binary64))) (sqrt.f64 (*.f64 (neg.f64 y) y))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 6 binary64))) y) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 7 binary64))) (sqrt.f64 y)) |
(*.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 y) y))) (exp.f64 (log.f64 (*.f64 (neg.f64 y) y)))) |
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (*.f64 (neg.f64 y) y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (*.f64 (neg.f64 y) y)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (pow.f64 y #s(literal 7 binary64)))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 y) y)) (neg.f64 (*.f64 (neg.f64 y) y))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) y) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 y y) (*.f64 y y)) |
(*.f64 y (fabs.f64 (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 y (sqrt.f64 (pow.f64 y #s(literal 6 binary64)))) |
(*.f64 y (pow.f64 y #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 y))) |
(pow.f64 (neg.f64 (*.f64 (neg.f64 y) y)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 y)) |
(pow.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 4 binary64)) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) |
(sqrt.f64 (pow.f64 y #s(literal 8 binary64))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) |
(fabs.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(fabs.f64 (pow.f64 y #s(literal 4 binary64))) |
(exp.f64 (/.f64 (*.f64 #s(literal 8 binary64) (log.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (log.f64 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 y) y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))))))) |
(+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) |
Compiled 9 096 to 904 computations (90.1% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 344 | 5 | 349 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 345 | 5 | 350 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.6% | (fma.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y (pow.f64 x #s(literal 4 binary64))) |
| ▶ | 61.4% | (fma.f64 (*.f64 y y) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) |
| ▶ | 95.9% | (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
| ▶ | 99.8% | (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
| ▶ | 56.2% | #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
Compiled 126 to 80 computations (36.5% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) y) | |
| cost-diff | 2 | (*.f64 (*.f64 (neg.f64 y) y) y) | |
| cost-diff | 2 | (fma.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 3 | (fma.f64 (*.f64 y y) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | (pow.f64 y #s(literal 4 binary64)) | |
| cost-diff | 0 | (neg.f64 (pow.f64 y #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 (neg.f64 x) x (*.f64 y y)) | |
| cost-diff | 1 | (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) | |
| cost-diff | 8 | (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) | |
| cost-diff | 0 | (*.f64 (+.f64 x y) (-.f64 x y)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 y y (*.f64 x x)) | |
| cost-diff | 7 | (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 149 |
| 0 | 48 | 150 |
| 1 | 86 | 143 |
| 2 | 278 | 135 |
| 3 | 1268 | 129 |
| 4 | 3953 | 123 |
| 0 | 8128 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(+.f64 x y) |
(-.f64 x y) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (*.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 |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(*.f64 (neg.f64 x) x) |
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
(fma.f64 (*.f64 y y) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 y y) |
y |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 (neg.f64 y) y) y) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(+.f64 x y) |
(-.f64 x y) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(neg.f64 x) |
x |
(*.f64 y y) |
y |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(neg.f64 (fma.f64 y y (*.f64 x x))) |
(*.f64 (neg.f64 x) x) |
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
(fma.f64 (*.f64 y y) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) |
(+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(*.f64 y y) |
y |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y (pow.f64 x #s(literal 4 binary64))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(*.f64 (*.f64 (neg.f64 y) y) y) |
(pow.f64 (neg.f64 y) #s(literal 3 binary64)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 (neg.f64 y) y) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.0859375 | (*.f64 (*.f64 (neg.f64 y) y) y) | |
| accuracy | 6.558562787453087 | (fma.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.056972509768442016 | (fma.f64 (*.f64 y y) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.0 | (pow.f64 y #s(literal 4 binary64)) | |
| accuracy | 0.0 | (neg.f64 (pow.f64 y #s(literal 4 binary64))) | |
| accuracy | 28.023341456413426 | #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0078125 | (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) | |
| accuracy | 0.13347626953688402 | (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) | |
| accuracy | 2.503878726055602 | (fma.f64 (neg.f64 x) x (*.f64 y y)) | |
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (*.f64 (+.f64 x y) (-.f64 x y)) | |
| accuracy | 0.13347626953688402 | (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
| 75.0ms | 256× | 0 | valid |
Compiled 152 to 28 computations (81.6% saved)
ival-mult: 15.0ms (43.8% of total)ival-pow: 7.0ms (20.4% of total)ival-add: 5.0ms (14.6% of total)ival-sub: 3.0ms (8.8% of total)ival-neg: 3.0ms (8.8% 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 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(neg.f64 x) |
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 y #s(literal 4 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 y y) |
(pow.f64 x #s(literal 4 binary64)) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 (neg.f64 y) y) y) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(+.f64 x y) |
| Outputs |
|---|
(* -1 (pow y 4)) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3)))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3))))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3))))) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (pow y 2)))) |
(+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (+ (pow x 2) (pow y 2))))) |
(- (* -1 (pow x 2)) (pow y 2)) |
(+ (* -1 (pow x 2)) (pow y 2)) |
(* -1 x) |
(- (pow x 4) (pow y 4)) |
(pow y 4) |
(+ (pow x 4) (pow y 4)) |
(pow x 4) |
(+ (* -1 (pow y 4)) (pow x 4)) |
y |
(+ x y) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2))) (* -1 (/ (pow y 4) (pow x 4)))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1 (/ (pow y 2) (pow x 2))) 1)) |
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) |
x |
(* x (+ 1 (/ y x))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow y 2)) (pow x 2)))) (pow x 4)) |
(+ (* -1 (pow x 2)) (* -1 (pow y 2))) |
(* -1 (pow y 3)) |
(* -1 y) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))) 1)) |
(* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 4) (pow y 4)))) 1)) |
(* (pow y 2) (- (* -1 (/ (pow x 2) (pow y 2))) 1)) |
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (+ 1 (/ (pow x 4) (pow y 4)))) |
(* y (+ 1 (/ x y))) |
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | ((* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (* (+ (* (neg x) x) (* y y)) (- (* (neg x) x) (* y y))) (- (* (neg x) x) (* y y)) (+ (* (neg x) x) (* y y)) (neg x) (- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (+ (* (* y y) (* y y)) (pow x 4)) (* y y) (pow x 4) (+ (* (* (* (neg y) y) y) y) (pow x 4)) (* (* (neg y) y) y) (* (neg y) y) (neg y) (+ x y)) |
| 3.0ms | x | @ | inf | ((* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (* (+ (* (neg x) x) (* y y)) (- (* (neg x) x) (* y y))) (- (* (neg x) x) (* y y)) (+ (* (neg x) x) (* y y)) (neg x) (- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (+ (* (* y y) (* y y)) (pow x 4)) (* y y) (pow x 4) (+ (* (* (* (neg y) y) y) y) (pow x 4)) (* (* (neg y) y) y) (* (neg y) y) (neg y) (+ x y)) |
| 3.0ms | y | @ | -inf | ((* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (* (+ (* (neg x) x) (* y y)) (- (* (neg x) x) (* y y))) (- (* (neg x) x) (* y y)) (+ (* (neg x) x) (* y y)) (neg x) (- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (+ (* (* y y) (* y y)) (pow x 4)) (* y y) (pow x 4) (+ (* (* (* (neg y) y) y) y) (pow x 4)) (* (* (neg y) y) y) (* (neg y) y) (neg y) (+ x y)) |
| 2.0ms | x | @ | -inf | ((* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (* (+ (* (neg x) x) (* y y)) (- (* (neg x) x) (* y y))) (- (* (neg x) x) (* y y)) (+ (* (neg x) x) (* y y)) (neg x) (- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (+ (* (* y y) (* y y)) (pow x 4)) (* y y) (pow x 4) (+ (* (* (* (neg y) y) y) y) (pow x 4)) (* (* (neg y) y) y) (* (neg y) y) (neg y) (+ x y)) |
| 2.0ms | y | @ | 0 | ((* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (* (+ (* (neg x) x) (* y y)) (- (* (neg x) x) (* y y))) (- (* (neg x) x) (* y y)) (+ (* (neg x) x) (* y y)) (neg x) (- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (+ (* (* y y) (* y y)) (pow x 4)) (* y y) (pow x 4) (+ (* (* (* (neg y) y) y) y) (pow x 4)) (* (* (neg y) y) y) (* (neg y) y) (neg y) (+ x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 239 | 552 |
| 1 | 842 | 466 |
| 2 | 3638 | 453 |
| 0 | 8293 | 443 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (pow y 4)) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3)))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3))))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3))))) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (pow y 2)))) |
(+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (+ (pow x 2) (pow y 2))))) |
(- (* -1 (pow x 2)) (pow y 2)) |
(+ (* -1 (pow x 2)) (pow y 2)) |
(* -1 x) |
(- (pow x 4) (pow y 4)) |
(pow y 4) |
(+ (pow x 4) (pow y 4)) |
(pow x 4) |
(+ (* -1 (pow y 4)) (pow x 4)) |
y |
(+ x y) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2))) (* -1 (/ (pow y 4) (pow x 4)))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1 (/ (pow y 2) (pow x 2))) 1)) |
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) |
x |
(* x (+ 1 (/ y x))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow y 2)) (pow x 2)))) (pow x 4)) |
(+ (* -1 (pow x 2)) (* -1 (pow y 2))) |
(* -1 (pow y 3)) |
(* -1 y) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))) 1)) |
(* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 4) (pow y 4)))) 1)) |
(* (pow y 2) (- (* -1 (/ (pow x 2) (pow y 2))) 1)) |
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (+ 1 (/ (pow x 4) (pow y 4)))) |
(* y (+ 1 (/ x y))) |
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(* -1 (pow y 4)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3)))) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3))))) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3))))) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 x x (*.f64 y y)) |
(pow x 2) |
(*.f64 x x) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (pow y 2)))) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (+ (pow x 2) (pow y 2))))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(- (* -1 (pow x 2)) (pow y 2)) |
(neg.f64 (fma.f64 x x (*.f64 y y))) |
(+ (* -1 (pow x 2)) (pow y 2)) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(* -1 x) |
(neg.f64 x) |
(- (pow x 4) (pow y 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(+ (pow x 4) (pow y 4)) |
(+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
y |
(+ x y) |
(+.f64 x y) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2))))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2))) (* -1 (/ (pow y 4) (pow x 4)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* -1 (/ (pow y 2) (pow x 2))) 1)) |
(*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) |
(*.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) |
(*.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 x)) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(*.f64 x x) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow y 2)) (pow x 2)))) (pow x 4)) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) y (pow.f64 x #s(literal 4 binary64))) |
(+ (* -1 (pow x 2)) (* -1 (pow y 2))) |
(neg.f64 (fma.f64 x x (*.f64 y y))) |
(* -1 (pow y 3)) |
(pow.f64 (neg.f64 y) #s(literal 3 binary64)) |
(* -1 y) |
(neg.f64 y) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))) 1)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 4) (pow y 4)))) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 2) (- (* -1 (/ (pow x 2) (pow y 2))) 1)) |
(*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y y)) |
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ 1 (/ (pow x 4) (pow y 4)))) |
(*.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 124 |
| 0 | 48 | 124 |
| 1 | 177 | 94 |
| 2 | 1367 | 92 |
| 0 | 9396 | 92 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(neg.f64 x) |
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 y #s(literal 4 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 y y) |
(pow.f64 x #s(literal 4 binary64)) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 (neg.f64 y) y) y) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(+.f64 x y) |
| Outputs |
|---|
(*.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64))))) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) (-.f64 x y)) |
(*.f64 (*.f64 (+.f64 (neg.f64 x) (neg.f64 y)) (+.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (-.f64 (neg.f64 x) (neg.f64 y)) (-.f64 (neg.f64 x) (neg.f64 y)))) |
(*.f64 (*.f64 (+.f64 x (neg.f64 y)) (+.f64 x (neg.f64 y))) (*.f64 (-.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y)))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) (+.f64 x y)) |
(*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 (-.f64 x y) (-.f64 x y))) |
(*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (+.f64 x y))) |
(*.f64 (fabs.f64 (fma.f64 x x (*.f64 y y))) (fabs.f64 (fma.f64 x x (*.f64 y y)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64)))) (neg.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64)))) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) (neg.f64 (+.f64 x y))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) (+.f64 x y)) |
(*.f64 (neg.f64 (+.f64 x y)) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y)))) |
(*.f64 (neg.f64 (-.f64 x y)) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) (neg.f64 (-.f64 x y))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) (-.f64 x y)) |
(*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) |
(*.f64 (-.f64 x y) (neg.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)))) |
(*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) |
(*.f64 (+.f64 x y) (neg.f64 (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))) |
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y)))) |
(pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x)) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x))) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 y y)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 y y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x)) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (fma.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))))))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x)) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 y y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x)) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 y y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 y y)) (-.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x)) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x))) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (-.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))) |
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(+.f64 (/.f64 (*.f64 (-.f64 x y) y) (-.f64 x y)) (/.f64 (*.f64 (-.f64 x y) x) (-.f64 x y))) |
(+.f64 (/.f64 (*.f64 (neg.f64 x) x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 x y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 x y))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 x y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 x y))))) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 x y))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(+.f64 x y) |
(+.f64 y x) |
Compiled 15 716 to 1 757 computations (88.8% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 674 | 11 | 685 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 678 | 12 | 690 |
| Status | Accuracy | Program |
|---|---|---|
| 88.5% | (fma.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y (*.f64 (*.f64 x x) (*.f64 x x))) | |
| 76.5% | (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(approx (- (* (neg x) x) (* y y)) (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y y)))) | |
| 51.5% | (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) (-.f64 x y))) | |
| ▶ | 99.4% | (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y))) |
| 91.1% | (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) | |
| ▶ | 61.4% | (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x))) |
| ▶ | 99.9% | (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) |
| ▶ | 94.2% | (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
| 56.1% | #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) | |
| ▶ | 24.9% | #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) |
| ✓ | 56.2% | #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
| 61.8% | #s(approx (* (+ (* (neg x) x) (* y y)) (- (* (neg x) x) (* y y))) (pow.f64 x #s(literal 4 binary64))) |
Compiled 458 to 254 computations (44.5% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 y y (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y))) | |
| cost-diff | 3 | (fma.f64 (/.f64 x y) y y) | |
| cost-diff | 0 | #s(approx (* (+ x y) (- x y)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 y y (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) | |
| cost-diff | 4 | (*.f64 (*.f64 y y) (*.f64 y y)) | |
| cost-diff | 0 | (fma.f64 x x (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 3 | (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 270 |
| 0 | 58 | 267 |
| 1 | 125 | 263 |
| 2 | 389 | 247 |
| 3 | 1519 | 247 |
| 4 | 5051 | 247 |
| 0 | 8994 | 247 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) |
(-.f64 x y) |
x |
y |
(*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) |
(fma.f64 x x (*.f64 y y)) |
(*.f64 y y) |
(+.f64 x y) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 y y)) |
(*.f64 y y) |
y |
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x))) |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
#s(approx (* (+ x y) (- x y)) (*.f64 x x)) |
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y))) |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
(*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
(fma.f64 (/.f64 x y) y y) |
(/.f64 x y) |
(-.f64 x y) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
#s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 1 binary64) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(+.f64 x y) |
(-.f64 x y) |
| Outputs |
|---|
(*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) |
(fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(-.f64 x y) |
x |
y |
(*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) |
(*.f64 (+.f64 y x) (fma.f64 x x (*.f64 y y))) |
(fma.f64 x x (*.f64 y y)) |
(*.f64 y y) |
(+.f64 x y) |
(+.f64 y x) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) |
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 y #s(literal 4 binary64))) |
(*.f64 (*.f64 y y) (*.f64 y y)) |
(pow.f64 y #s(literal 4 binary64)) |
(*.f64 y y) |
y |
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x))) |
(*.f64 #s(approx (* (+ x y) (- x y)) (*.f64 x x)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
y |
(*.f64 x x) |
x |
#s(approx (* (+ x y) (- x y)) (*.f64 x x)) |
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y))) |
(*.f64 (*.f64 #s(approx (+ x y) (+.f64 y x)) (fma.f64 x x (*.f64 y y))) (-.f64 x y)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
y |
(*.f64 x x) |
x |
(*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)) |
(*.f64 #s(approx (+ x y) (+.f64 y x)) (-.f64 x y)) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
#s(approx (+ x y) (+.f64 y x)) |
(fma.f64 (/.f64 x y) y y) |
(+.f64 y x) |
(/.f64 x y) |
(-.f64 x y) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (-.f64 x y)) (+.f64 y x)) |
#s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 1 binary64) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(+.f64 x y) |
(+.f64 y x) |
(-.f64 x y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10775375976844201 | (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) | |
| accuracy | 0.13347626953688402 | (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y))) | |
| accuracy | 3.289605744775239 | (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) | |
| accuracy | 3.7971295813171877 | (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) | |
| accuracy | 0.0 | #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)) | |
| accuracy | 0.13347626953688402 | (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y))) | |
| accuracy | 7.741770798195733 | (fma.f64 (/.f64 x y) y y) | |
| accuracy | 0.0 | (fma.f64 y y (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.13347626953688402 | (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x))) | |
| accuracy | 29.592771514682397 | #s(approx (* (+ x y) (- x y)) (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.11166000976844201 | (*.f64 (*.f64 y y) (*.f64 y y)) | |
| accuracy | 48.04227508453589 | #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0078125 | (fma.f64 x x (*.f64 y y)) | |
| accuracy | 0.06640625 | (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) | |
| accuracy | 0.109375 | (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) |
| 95.0ms | 256× | 0 | valid |
Compiled 222 to 28 computations (87.4% saved)
ival-sub: 35.0ms (44.3% of total)ival-pow: 19.0ms (24% of total)ival-mult: 15.0ms (19% of total)ival-add: 5.0ms (6.3% of total)ival-div: 4.0ms (5.1% 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)| Inputs |
|---|
(*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) |
(-.f64 x y) |
(*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) |
(fma.f64 x x (*.f64 y y)) |
(*.f64 (*.f64 y y) (*.f64 y y)) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) |
(*.f64 y y) |
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x))) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
#s(approx (* (+ x y) (- x y)) (*.f64 x x)) |
(fma.f64 (/.f64 x y) y y) |
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y))) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
#s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) |
| Outputs |
|---|
(* -1 (pow y 4)) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3)))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3))))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3))))) |
(* -1 y) |
(- x y) |
(pow y 3) |
(+ (* x (pow y 2)) (pow y 3)) |
(+ (* x (+ (* x y) (pow y 2))) (pow y 3)) |
(+ (* x (+ (* x (+ x y)) (pow y 2))) (pow y 3)) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(- (pow x 4) (pow y 4)) |
(pow x 2) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
y |
(+ x y) |
(/ (pow y 2) x) |
(/ (+ (pow x 2) (pow y 2)) x) |
(/ (pow y 2) (pow x 2)) |
(/ (+ (pow x 2) (pow y 2)) (pow x 2)) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ y x))) |
(* (pow x 3) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* (pow x 3) (+ 1 (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ (pow y 2) (pow x 2)))) |
1 |
(+ 1 (/ (pow y 2) (pow x 2))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (pow x 2))) 1))) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(+ x (* -1 y)) |
(+ (* (pow x 2) y) (pow x 3)) |
(+ (* y (+ (* x y) (pow x 2))) (pow x 3)) |
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3)) |
(pow y 4) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(+ x (/ (pow y 2) x)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1)) |
(* y (- (/ x y) 1)) |
(* (pow y 3) (+ 1 (/ x y))) |
(* (pow y 3) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(* (pow y 3) (+ 1 (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3)))))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(* y (+ 1 (/ x y))) |
(* (pow y 2) (+ (/ 1 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) |
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (- (* -1 (/ x y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (/ (pow x 2) y)) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)) 1))) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((* (- x y) (* (+ (* x x) (* y y)) (+ x y))) (- x y) (* (+ (* x x) (* y y)) (+ x y)) (+ (* x x) (* y y)) (* (* y y) (* y y)) (- (pow x 4) (pow y 4)) (* y y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ (* (/ x y) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* (/ y x) (/ y x)) 1) x) (* (+ x y) (- x y)) (+ x y) (+ (* (/ y x) (/ y x)) 1)) |
| 2.0ms | x | @ | inf | ((* (- x y) (* (+ (* x x) (* y y)) (+ x y))) (- x y) (* (+ (* x x) (* y y)) (+ x y)) (+ (* x x) (* y y)) (* (* y y) (* y y)) (- (pow x 4) (pow y 4)) (* y y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ (* (/ x y) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* (/ y x) (/ y x)) 1) x) (* (+ x y) (- x y)) (+ x y) (+ (* (/ y x) (/ y x)) 1)) |
| 2.0ms | x | @ | -inf | ((* (- x y) (* (+ (* x x) (* y y)) (+ x y))) (- x y) (* (+ (* x x) (* y y)) (+ x y)) (+ (* x x) (* y y)) (* (* y y) (* y y)) (- (pow x 4) (pow y 4)) (* y y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ (* (/ x y) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* (/ y x) (/ y x)) 1) x) (* (+ x y) (- x y)) (+ x y) (+ (* (/ y x) (/ y x)) 1)) |
| 2.0ms | y | @ | -inf | ((* (- x y) (* (+ (* x x) (* y y)) (+ x y))) (- x y) (* (+ (* x x) (* y y)) (+ x y)) (+ (* x x) (* y y)) (* (* y y) (* y y)) (- (pow x 4) (pow y 4)) (* y y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ (* (/ x y) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* (/ y x) (/ y x)) 1) x) (* (+ x y) (- x y)) (+ x y) (+ (* (/ y x) (/ y x)) 1)) |
| 2.0ms | x | @ | 0 | ((* (- x y) (* (+ (* x x) (* y y)) (+ x y))) (- x y) (* (+ (* x x) (* y y)) (+ x y)) (+ (* x x) (* y y)) (* (* y y) (* y y)) (- (pow x 4) (pow y 4)) (* y y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ (* (/ x y) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* (/ y x) (/ y x)) 1) x) (* (+ x y) (- x y)) (+ x y) (+ (* (/ y x) (/ y x)) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 290 | 738 |
| 1 | 1006 | 678 |
| 2 | 4259 | 657 |
| 0 | 8300 | 632 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (pow y 4)) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3)))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3))))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3))))) |
(* -1 y) |
(- x y) |
(pow y 3) |
(+ (* x (pow y 2)) (pow y 3)) |
(+ (* x (+ (* x y) (pow y 2))) (pow y 3)) |
(+ (* x (+ (* x (+ x y)) (pow y 2))) (pow y 3)) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(- (pow x 4) (pow y 4)) |
(pow x 2) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
y |
(+ x y) |
(/ (pow y 2) x) |
(/ (+ (pow x 2) (pow y 2)) x) |
(/ (pow y 2) (pow x 2)) |
(/ (+ (pow x 2) (pow y 2)) (pow x 2)) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ y x))) |
(* (pow x 3) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* (pow x 3) (+ 1 (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ (pow y 2) (pow x 2)))) |
1 |
(+ 1 (/ (pow y 2) (pow x 2))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (pow x 2))) 1))) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(+ x (* -1 y)) |
(+ (* (pow x 2) y) (pow x 3)) |
(+ (* y (+ (* x y) (pow x 2))) (pow x 3)) |
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3)) |
(pow y 4) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(+ x (/ (pow y 2) x)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1)) |
(* y (- (/ x y) 1)) |
(* (pow y 3) (+ 1 (/ x y))) |
(* (pow y 3) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(* (pow y 3) (+ 1 (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3)))))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(* y (+ 1 (/ x y))) |
(* (pow y 2) (+ (/ 1 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) |
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (- (* -1 (/ x y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (/ (pow x 2) y)) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)) 1))) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(* -1 (pow y 4)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3)))) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3))))) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3))))) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(pow y 3) |
(pow.f64 y #s(literal 3 binary64)) |
(+ (* x (pow y 2)) (pow y 3)) |
(*.f64 (*.f64 (+.f64 y x) y) y) |
(+ (* x (+ (* x y) (pow y 2))) (pow y 3)) |
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) y) |
(+ (* x (+ (* x (+ x y)) (pow y 2))) (pow y 3)) |
(*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) |
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(- (pow x 4) (pow y 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
y |
(+ x y) |
(+.f64 y x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (+ (pow x 2) (pow y 2)) x) |
(fma.f64 y (/.f64 y x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (+ (pow x 2) (pow y 2)) (pow x 2)) |
(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ y x))) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (pow y 2) (pow x 2))) |
(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 y (/.f64 y x) y) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 y (/.f64 y x) y)) x) y)) x) #s(literal 1 binary64))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (pow x 2))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)) #s(literal 1 binary64))) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ (* (pow x 2) y) (pow x 3)) |
(*.f64 (*.f64 (+.f64 y x) x) x) |
(+ (* y (+ (* x y) (pow x 2))) (pow x 3)) |
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) x) |
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3)) |
(*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(*.f64 x x) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(+ x (/ (pow y 2) x)) |
(fma.f64 y (/.f64 y x) x) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* y (- (/ x y) 1)) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* (pow y 3) (+ 1 (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ 1 (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3)))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* (pow y 2) (+ (/ 1 x) (/ x (pow y 2)))) |
(*.f64 y (fma.f64 y (/.f64 (/.f64 x y) y) (/.f64 y x))) |
(* (pow y 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) |
(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) |
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* -1 (* (pow y 3) (- (* -1 (/ x y)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (/ (pow x 2) y)) y)) 1))) |
(*.f64 (-.f64 (*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 x (fma.f64 x (/.f64 x y) x)) y) x)) y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 223 |
| 0 | 58 | 210 |
| 1 | 216 | 203 |
| 2 | 1766 | 203 |
| 0 | 8173 | 203 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) |
(-.f64 x y) |
(*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) |
(fma.f64 x x (*.f64 y y)) |
(*.f64 (*.f64 y y) (*.f64 y y)) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) |
(*.f64 y y) |
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x))) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
#s(approx (* (+ x y) (- x y)) (*.f64 x x)) |
(fma.f64 (/.f64 x y) y y) |
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y))) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
#s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) (+.f64 y x)) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 x x (*.f64 y y))) |
(*.f64 (*.f64 (+.f64 y x) (fma.f64 x x (*.f64 y y))) (-.f64 x y)) |
(*.f64 (+.f64 y x) (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) |
(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 y x) (-.f64 x y))) |
(*.f64 (-.f64 x y) (*.f64 (+.f64 y x) (fma.f64 x x (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) (*.f64 y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)))) (*.f64 (*.f64 x (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) (*.f64 x (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))))) (-.f64 (*.f64 y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) (*.f64 x (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) (*.f64 x (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)))) (*.f64 (*.f64 y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) (*.f64 y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))))) (-.f64 (*.f64 x (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) (*.f64 y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) x) (-.f64 x y)) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) x) (-.f64 x y))) (*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) y) (-.f64 x y)) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) y) (-.f64 x y)))) (-.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) x) (-.f64 x y)) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) y) (-.f64 x y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) y) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) y)) (*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) x) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) x))) (-.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) y) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) x) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) x)) (*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) y) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) y))) (-.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) x) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) x)) (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) x))) (*.f64 (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) y)) (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) y)))) (-.f64 (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) x)) (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 (*.f64 y y) (*.f64 (neg.f64 y) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y y) (*.f64 (neg.f64 y) y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) (*.f64 y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) (-.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) (*.f64 x (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)))) (*.f64 (*.f64 y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) (*.f64 x (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) (*.f64 x (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) (-.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) (*.f64 y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)))) (*.f64 (*.f64 x (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) (*.f64 y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) x) (-.f64 x y)) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) x) (-.f64 x y)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) y) (-.f64 x y)) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) y) (-.f64 x y))) (*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) x) (-.f64 x y)) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) y) (-.f64 x y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) y) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) y) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) x) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) x)) (*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) y) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) x) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) x) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) y) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) y)) (*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) x) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) x)) (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) x)) (-.f64 (*.f64 (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) y)) (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) y))) (*.f64 (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) x)) (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) y)))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 (*.f64 y y) (*.f64 (neg.f64 y) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y y) (*.f64 (neg.f64 y) y)))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (+.f64 y x) (fma.f64 x x (*.f64 y y))))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y x) (fma.f64 x x (*.f64 y y))))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) (+.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 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (fma.f64 x x (*.f64 y y))) (-.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 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (fma.f64 x x (*.f64 y y))) (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (pow.f64 y #s(literal 12 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (+.f64 y x) (fma.f64 x x (*.f64 y y)))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y x) (fma.f64 x x (*.f64 y y)))) (+.f64 y x)) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (fma.f64 x x (*.f64 y y))) (-.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 (+.f64 y x) (fma.f64 x x (*.f64 y y))) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y x) (/.f64 (neg.f64 y) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 (neg.f64 y) x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(fma.f64 (exp.f64 (log.f64 (/.f64 y x))) (exp.f64 (log.f64 (/.f64 y x))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (/.f64 y (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fabs.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 y (fabs.f64 (/.f64 (/.f64 y x) x)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (/.f64 y x) x) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 (neg.f64 y) x))) |
(+.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(+.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
Compiled 31 621 to 3 084 computations (90.2% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 858 | 5 | 863 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 860 | 15 | 875 |
| Status | Accuracy | Program |
|---|---|---|
| 88.5% | (fma.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y (*.f64 (*.f64 x x) (*.f64 x x))) | |
| 76.5% | (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(approx (- (* (neg x) x) (* y y)) (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y y)))) | |
| 51.5% | (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) (-.f64 x y))) | |
| ✓ | 99.4% | (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y))) |
| ▶ | 91.1% | (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) |
| ✓ | 61.4% | (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x))) |
| ✓ | 99.9% | (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) |
| ▶ | 70.0% | (*.f64 (-.f64 x y) (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y))) |
| 74.4% | (*.f64 (-.f64 x y) #s(approx (* (+ (* x x) (* y y)) (+ x y)) (*.f64 (*.f64 (+.f64 y x) x) x))) | |
| ▶ | 99.4% | (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
| ▶ | 68.9% | (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
| ▶ | 56.1% | #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
| ✓ | 24.9% | #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) |
| ✓ | 56.2% | #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
| 61.8% | #s(approx (* (- x y) (* (+ (* x x) (* y y)) (+ x y))) (pow.f64 x #s(literal 4 binary64))) |
Compiled 556 to 313 computations (43.7% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 y y (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) | |
| cost-diff | 0 | #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x) | |
| cost-diff | 0 | #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x)) (*.f64 (+.f64 x y) (-.f64 x y))) | |
| cost-diff | 0 | #s(approx (+ (* x x) (* y y)) (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (*.f64 (-.f64 x y) (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) y) | |
| cost-diff | 0 | #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) | |
| cost-diff | 4 | (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x) | |
| cost-diff | 0 | #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 425 |
| 0 | 75 | 422 |
| 1 | 143 | 418 |
| 2 | 413 | 418 |
| 3 | 1407 | 414 |
| 4 | 4828 | 414 |
| 0 | 8443 | 406 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
#s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x)) |
(*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x) |
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) |
(fma.f64 y (/.f64 y x) x) |
y |
(/.f64 y x) |
x |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(+.f64 x y) |
(-.f64 x y) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(*.f64 y y) |
(*.f64 (-.f64 x y) (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y))) |
(-.f64 x y) |
x |
y |
(*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y)) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(*.f64 y y) |
(+.f64 x y) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
#s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x)) |
(*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x) |
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(+.f64 x y) |
(-.f64 x y) |
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
#s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 x y) |
#s(literal -1 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 (/.f64 y x) y x)) x))) |
#s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x)) |
#s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 (/.f64 y x) y x)) x)) |
(*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x) |
(*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 (/.f64 y x) y x)) x) |
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) |
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 (/.f64 y x) y x)) |
(fma.f64 y (/.f64 y x) x) |
(fma.f64 (/.f64 y x) y x) |
y |
(/.f64 y x) |
x |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(+.f64 x y) |
(-.f64 x y) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(*.f64 y y) |
(*.f64 (-.f64 x y) (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y))) |
(*.f64 (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (+.f64 x y)) (-.f64 x y)) |
(-.f64 x y) |
x |
y |
(*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y)) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (+.f64 x y)) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
#s(approx (+ (* y y) (* x x)) (*.f64 y y)) |
(*.f64 y y) |
(+.f64 x y) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x)) (*.f64 (-.f64 x y) (+.f64 x y))) |
#s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x)) |
(*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x) |
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(+.f64 x y) |
(-.f64 x y) |
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) |
(*.f64 #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
#s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 x y) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11328125 | (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) | |
| accuracy | 0.13347626953688402 | (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) | |
| accuracy | 2.651553763502653 | (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) | |
| accuracy | 5.495827009882422 | (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) | |
| accuracy | 0.13347626953688402 | (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x)) (*.f64 (+.f64 x y) (-.f64 x y))) | |
| accuracy | 3.289605744775239 | (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x) | |
| accuracy | 6.763342325128889 | (/.f64 (*.f64 y y) x) | |
| accuracy | 32.27762949181433 | #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.06640625 | (*.f64 (-.f64 x y) (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y))) | |
| accuracy | 0.109375 | (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y)) | |
| accuracy | 28.376434817499444 | #s(approx (+ (* x x) (* y y)) (*.f64 y y)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.11166000976844201 | (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) | |
| accuracy | 28.023341456413426 | #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) | |
| accuracy | 0.00390625 | (*.f64 (+.f64 x y) (-.f64 x y)) | |
| accuracy | 0.0703125 | (fma.f64 y (/.f64 y x) x) | |
| accuracy | 0.13347626953688402 | (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x)) (*.f64 (+.f64 x y) (-.f64 x y))) | |
| accuracy | 3.289605744775239 | (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x) |
| 62.0ms | 256× | 0 | valid |
Compiled 282 to 36 computations (87.2% saved)
ival-mult: 21.0ms (47.7% of total)ival-add: 7.0ms (15.9% of total)ival-pow: 7.0ms (15.9% of total)ival-div: 5.0ms (11.4% of total)ival-sub: 2.0ms (4.5% of total)ival-neg: 1.0ms (2.3% 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)| Inputs |
|---|
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
#s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x)) |
(*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x) |
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(*.f64 (-.f64 x y) (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y))) |
(-.f64 x y) |
(*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y)) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
#s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x)) |
(*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x) |
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) |
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
#s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)) |
(fma.f64 y (/.f64 y x) x) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(*.f64 y y) |
(/.f64 (*.f64 y y) x) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
| Outputs |
|---|
(* -1 (pow y 4)) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3)))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3))))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3))))) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(/ (pow y 2) x) |
(/ (+ (pow x 2) (pow y 2)) x) |
(- (pow x 4) (pow y 4)) |
(* -1 y) |
(- x y) |
(pow y 3) |
(+ (* x (pow y 2)) (pow y 3)) |
(+ (* x (+ (* x y) (pow y 2))) (pow y 3)) |
(+ (* x (+ (* x (+ x y)) (pow y 2))) (pow y 3)) |
(pow x 2) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(+ (* -1 y) (/ (pow x 2) y)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
-1 |
(- (/ (pow x 2) (pow y 2)) 1) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
x |
(* x (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* x (+ 1 (* -1 (/ y x)))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ y x))) |
(* (pow x 3) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* (pow x 3) (+ 1 (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (pow x 2))) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(+ x (/ (pow y 2) x)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(+ x (* -1 y)) |
(+ (* (pow x 2) y) (pow x 3)) |
(+ (* y (+ (* x y) (pow x 2))) (pow x 3)) |
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3)) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) y) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ (/ 1 x) (/ x (pow y 2)))) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* y (- (/ x y) 1)) |
(* (pow y 3) (+ 1 (/ x y))) |
(* (pow y 3) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(* (pow y 3) (+ 1 (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3)))))) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(* y (- (/ (pow x 2) (pow y 2)) 1)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (- (* -1 (/ x y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (/ (pow x 2) y)) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)) 1))) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | inf | ((* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* (/ y x) (/ y x)) 1) x) (* (* (neg y) y) (* y y)) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* (- x y) (* (+ (* x x) (* y y)) (+ x y))) (- x y) (* (+ (* x x) (* y y)) (+ x y)) (+ (* x x) (* y y)) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* (/ y x) (/ y x)) 1) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ (* y (/ y x)) x) (* (+ x y) (- x y)) (* y y) (/ (* y y) x) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (+ (* (/ x y) (/ x y)) -1)) |
| 3.0ms | y | @ | -inf | ((* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* (/ y x) (/ y x)) 1) x) (* (* (neg y) y) (* y y)) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* (- x y) (* (+ (* x x) (* y y)) (+ x y))) (- x y) (* (+ (* x x) (* y y)) (+ x y)) (+ (* x x) (* y y)) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* (/ y x) (/ y x)) 1) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ (* y (/ y x)) x) (* (+ x y) (- x y)) (* y y) (/ (* y y) x) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (+ (* (/ x y) (/ x y)) -1)) |
| 3.0ms | x | @ | inf | ((* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* (/ y x) (/ y x)) 1) x) (* (* (neg y) y) (* y y)) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* (- x y) (* (+ (* x x) (* y y)) (+ x y))) (- x y) (* (+ (* x x) (* y y)) (+ x y)) (+ (* x x) (* y y)) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* (/ y x) (/ y x)) 1) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ (* y (/ y x)) x) (* (+ x y) (- x y)) (* y y) (/ (* y y) x) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (+ (* (/ x y) (/ x y)) -1)) |
| 3.0ms | x | @ | -inf | ((* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* (/ y x) (/ y x)) 1) x) (* (* (neg y) y) (* y y)) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* (- x y) (* (+ (* x x) (* y y)) (+ x y))) (- x y) (* (+ (* x x) (* y y)) (+ x y)) (+ (* x x) (* y y)) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* (/ y x) (/ y x)) 1) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ (* y (/ y x)) x) (* (+ x y) (- x y)) (* y y) (/ (* y y) x) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (+ (* (/ x y) (/ x y)) -1)) |
| 2.0ms | y | @ | 0 | ((* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* (/ y x) (/ y x)) 1) x) (* (* (neg y) y) (* y y)) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* (- x y) (* (+ (* x x) (* y y)) (+ x y))) (- x y) (* (+ (* x x) (* y y)) (+ x y)) (+ (* x x) (* y y)) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* (/ y x) (/ y x)) 1) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ (* y (/ y x)) x) (* (+ x y) (- x y)) (* y y) (/ (* y y) x) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (+ (* (/ x y) (/ x y)) -1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 300 | 812 |
| 1 | 1027 | 735 |
| 2 | 4387 | 712 |
| 0 | 8647 | 688 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (pow y 4)) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3)))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3))))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3))))) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(/ (pow y 2) x) |
(/ (+ (pow x 2) (pow y 2)) x) |
(- (pow x 4) (pow y 4)) |
(* -1 y) |
(- x y) |
(pow y 3) |
(+ (* x (pow y 2)) (pow y 3)) |
(+ (* x (+ (* x y) (pow y 2))) (pow y 3)) |
(+ (* x (+ (* x (+ x y)) (pow y 2))) (pow y 3)) |
(pow x 2) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(+ (* -1 y) (/ (pow x 2) y)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
-1 |
(- (/ (pow x 2) (pow y 2)) 1) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
x |
(* x (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* x (+ 1 (* -1 (/ y x)))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ y x))) |
(* (pow x 3) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* (pow x 3) (+ 1 (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (pow x 2))) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(+ x (/ (pow y 2) x)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(+ x (* -1 y)) |
(+ (* (pow x 2) y) (pow x 3)) |
(+ (* y (+ (* x y) (pow x 2))) (pow x 3)) |
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3)) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) y) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ (/ 1 x) (/ x (pow y 2)))) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* y (- (/ x y) 1)) |
(* (pow y 3) (+ 1 (/ x y))) |
(* (pow y 3) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(* (pow y 3) (+ 1 (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3)))))) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(* y (- (/ (pow x 2) (pow y 2)) 1)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (- (* -1 (/ x y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (/ (pow x 2) y)) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)) 1))) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))) |
| Outputs |
|---|
(* -1 (pow y 4)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3)))) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3))))) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3))))) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 x x (*.f64 y y)) |
(/ (pow y 2) x) |
(*.f64 y (/.f64 y x)) |
(/ (+ (pow x 2) (pow y 2)) x) |
(fma.f64 y (/.f64 y x) x) |
(- (pow x 4) (pow y 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(pow y 3) |
(pow.f64 y #s(literal 3 binary64)) |
(+ (* x (pow y 2)) (pow y 3)) |
(*.f64 (*.f64 (+.f64 x y) y) y) |
(+ (* x (+ (* x y) (pow y 2))) (pow y 3)) |
(*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) y) |
(+ (* x (+ (* x (+ x y)) (pow y 2))) (pow y 3)) |
(*.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))) |
(pow x 2) |
(*.f64 x x) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(+ (* -1 y) (/ (pow x 2) y)) |
(-.f64 (/.f64 (*.f64 x x) y) y) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(- (/ (pow x 2) (pow y 2)) 1) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
x |
(* x (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ y x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 y x) x)) x) x) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(/ (pow x 2) (pow y 2)) |
(/.f64 (/.f64 (*.f64 x x) y) y) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* -1 (* x (- (* -1 (/ (pow y 2) (pow x 2))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)) #s(literal 1 binary64))) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 y (/.f64 y x) y)) x) y)) x) #s(literal 1 binary64))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ x (/ (pow y 2) x)) |
(fma.f64 y (/.f64 y x) x) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ (* (pow x 2) y) (pow x 3)) |
(*.f64 (*.f64 (+.f64 x y) x) x) |
(+ (* y (+ (* x y) (pow x 2))) (pow x 3)) |
(*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) x) |
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3)) |
(*.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(*.f64 x x) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) y) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2)) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (+ (/ 1 x) (/ x (pow y 2)))) |
(*.f64 y (fma.f64 y (/.f64 (/.f64 x y) y) (/.f64 y x))) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* (pow y 3) (+ 1 (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ 1 (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3)))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(* y (- (/ (pow x 2) (pow y 2)) 1)) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (* (pow y 3) (- (* -1 (/ x y)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (/ (pow x 2) y)) y)) 1))) |
(*.f64 (-.f64 (*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 x (fma.f64 x (/.f64 x y) x)) y) x)) y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 381 |
| 0 | 75 | 357 |
| 1 | 250 | 349 |
| 2 | 1768 | 347 |
| 0 | 8470 | 347 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
#s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x)) |
(*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x) |
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(*.f64 (-.f64 x y) (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y))) |
(-.f64 x y) |
(*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y)) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
#s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x)) |
(*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x) |
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) |
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
#s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)) |
(fma.f64 y (/.f64 y x) x) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(*.f64 y y) |
(/.f64 (*.f64 y y) x) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 (/.f64 y x) y x)) x)) (-.f64 x y)) (+.f64 x y)) |
(*.f64 (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 (/.f64 y x) y x)) x))) (-.f64 x y)) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 (/.f64 y x) y x)) x))) |
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 (/.f64 y x) y x)) x)))) |
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 (/.f64 y x) y x)) x)))) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 (/.f64 y x) y x)) x)) (*.f64 (-.f64 x y) (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 (/.f64 y x) y x)) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
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(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x y)))))) |
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 x y) (/.f64 x (neg.f64 y))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (/.f64 x (neg.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 (/.f64 x y))) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
(fma.f64 x (fabs.f64 (/.f64 (/.f64 x y) y)) #s(literal -1 binary64)) |
(fma.f64 x (/.f64 (/.f64 x y) y) #s(literal -1 binary64)) |
(fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 (/.f64 x (neg.f64 y))) #s(literal 2 binary64))) |
(expm1.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x y))) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (/.f64 x (neg.f64 y)))) |
(+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
Compiled 31 546 to 2 437 computations (92.3% saved)
19 alts after pruning (11 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 679 | 7 | 686 |
| Fresh | 1 | 4 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 682 | 19 | 701 |
| Status | Accuracy | Program |
|---|---|---|
| 88.5% | (fma.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y (*.f64 (*.f64 x x) (*.f64 x x))) | |
| 69.2% | (/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (*.f64 (/.f64 y x) y)) x)) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) (+.f64 x y)) | |
| 51.5% | (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) (-.f64 x y))) | |
| ✓ | 99.4% | (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y))) |
| 83.1% | (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 y y))))) | |
| ✓ | 91.1% | (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) |
| 80.2% | (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) y) y))) | |
| 61.1% | (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 #s(approx (* (+ (* (/ x y) (/ x y)) -1) y) (/.f64 (*.f64 x x) y)) y))) | |
| ✓ | 61.4% | (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x))) |
| ✓ | 99.9% | (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) |
| 68.4% | (*.f64 (-.f64 x y) (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (*.f64 (/.f64 y x) y)) x)) (+.f64 x y))) | |
| ✓ | 70.0% | (*.f64 (-.f64 x y) (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y))) |
| 74.4% | (*.f64 (-.f64 x y) #s(approx (* (+ (* x x) (* y y)) (+ x y)) (*.f64 (*.f64 (+.f64 y x) x) x))) | |
| 59.2% | (*.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y))) | |
| 58.8% | (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x)) (*.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))) | |
| ✓ | 56.1% | #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
| ✓ | 24.9% | #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) |
| ✓ | 56.2% | #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
| 61.8% | #s(approx (* (- x y) (* (+ (* x x) (* y y)) (+ x y))) (pow.f64 x #s(literal 4 binary64))) |
Compiled 1 099 to 389 computations (64.6% saved)
| Inputs |
|---|
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
(*.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y))) |
(*.f64 (-.f64 x y) #s(approx (* (+ (* x x) (* y y)) (+ x y)) (*.f64 (*.f64 (+.f64 y x) x) x))) |
(*.f64 (-.f64 x y) (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y))) |
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x))) |
(*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) |
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x)) (*.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (*.f64 y y) x)) x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (-.f64 x y) (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (*.f64 (/.f64 y x) y)) x)) (+.f64 x y))) |
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 #s(approx (* (+ (* (/ x y) (/ x y)) -1) y) (/.f64 (*.f64 x x) y)) y))) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y))) |
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) y) y))) |
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) (-.f64 x y))) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) |
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 y y))))) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 #s(approx (* (+ (* (/ y x) (/ y x)) 1) x) (*.f64 (/.f64 y x) y)) x)) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) (+.f64 x y)) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(approx (- (* (neg x) x) (* y y)) (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y y)))) |
#s(approx (* (+ (* (neg x) x) (* y y)) (- (* (neg x) x) (* y y))) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (* (- x y) (* (+ (* x x) (* y y)) (+ x y))) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y (pow.f64 x #s(literal 4 binary64))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) |
5 calls:
| 11.0ms | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| 7.0ms | y |
| 7.0ms | x |
| 6.0ms | (pow.f64 x #s(literal 4 binary64)) |
| 6.0ms | (pow.f64 y #s(literal 4 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (pow.f64 y #s(literal 4 binary64)) |
| 99.9% | 1 | (pow.f64 x #s(literal 4 binary64)) |
| 99.9% | 1 | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
Compiled 15 to 18 computations (-20% saved)
| Inputs |
|---|
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
(*.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y))) |
(*.f64 (-.f64 x y) #s(approx (* (+ (* x x) (* y y)) (+ x y)) (*.f64 (*.f64 (+.f64 y x) x) x))) |
(*.f64 (-.f64 x y) (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y))) |
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
(*.f64 (-.f64 x y) #s(approx (* (+ (* x x) (* y y)) (+ x y)) (*.f64 (*.f64 (+.f64 y x) x) x))) |
5 calls:
| 7.0ms | (pow.f64 y #s(literal 4 binary64)) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| 2.0ms | (pow.f64 x #s(literal 4 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 2 | (pow.f64 y #s(literal 4 binary64)) |
| 94.1% | 2 | (pow.f64 x #s(literal 4 binary64)) |
| 99.5% | 2 | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| 94.5% | 3 | x |
| 97.1% | 3 | y |
Compiled 15 to 18 computations (-20% saved)
| Inputs |
|---|
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
(*.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y))) |
| Outputs |
|---|
(*.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y))) |
5 calls:
| 2.0ms | y |
| 2.0ms | x |
| 1.0ms | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| 1.0ms | (pow.f64 x #s(literal 4 binary64)) |
| 1.0ms | (pow.f64 y #s(literal 4 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.2% | 1 | x |
| 59.2% | 1 | (pow.f64 x #s(literal 4 binary64)) |
| 59.2% | 1 | y |
| 59.2% | 1 | (pow.f64 y #s(literal 4 binary64)) |
| 59.2% | 1 | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
Compiled 15 to 18 computations (-20% saved)
| Inputs |
|---|
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
| Outputs |
|---|
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) |
5 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| 1.0ms | (pow.f64 x #s(literal 4 binary64)) |
| 1.0ms | (pow.f64 y #s(literal 4 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.1% | 1 | (pow.f64 y #s(literal 4 binary64)) |
| 56.1% | 1 | y |
| 60.9% | 3 | x |
| 56.1% | 1 | (pow.f64 x #s(literal 4 binary64)) |
| 56.1% | 1 | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
Compiled 15 to 18 computations (-20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) |
| Outputs |
|---|
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) |
5 calls:
| 28.0ms | y |
| 1.0ms | x |
| 1.0ms | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| 1.0ms | (pow.f64 y #s(literal 4 binary64)) |
| 1.0ms | (pow.f64 x #s(literal 4 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.9% | 1 | (pow.f64 y #s(literal 4 binary64)) |
| 24.9% | 1 | y |
| 24.9% | 1 | (pow.f64 x #s(literal 4 binary64)) |
| 24.9% | 1 | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| 24.9% | 1 | x |
Compiled 15 to 18 computations (-20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -7.8853e-320 | 0.0 |
Compiled 10 to 11 computations (-10% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.4017229487840586e+121 | 6.238982328048632e+124 |
| 14.0ms | -1.7386731861430832e+260 | -2.9122940927656243e+253 |
| 15.0ms | 272× | 0 | valid |
Compiled 537 to 385 computations (28.3% saved)
ival-pow: 8.0ms (85.7% of total)ival-sub: 1.0ms (10.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 140 |
| 1 | 75 | 140 |
| 2 | 157 | 140 |
| 3 | 455 | 140 |
| 4 | 1142 | 140 |
| 5 | 1906 | 140 |
| 6 | 2178 | 140 |
| 7 | 2542 | 140 |
| 8 | 2650 | 140 |
| 9 | 2650 | 140 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) |
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1265/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) (*.f64 (-.f64 x y) #s(approx (* (+ (* x x) (* y y)) (+ x y)) (*.f64 (*.f64 (+.f64 y x) x) x)))) |
(*.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y))) |
(if (<=.f64 x #s(literal -29999999999999998090761208133027753209277121982710220694518322170074468834158122646680160983760842733943105547828217077365451992495943007231316787228260016680545159108163715704386587312211994829061495921761989452332307874881399148723503909082147084828672 binary64)) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) (if (<=.f64 x #s(literal 62000000000000003608671111741451648808741294628226320971634582435254185288163387442771905016716415524815337936032477673947136 binary64)) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))))) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) |
| Outputs |
|---|
(*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) |
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1265/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) (*.f64 (-.f64 x y) #s(approx (* (+ (* x x) (* y y)) (+ x y)) (*.f64 (*.f64 (+.f64 y x) x) x)))) |
(*.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (+.f64 x y))) |
(if (<=.f64 x #s(literal -29999999999999998090761208133027753209277121982710220694518322170074468834158122646680160983760842733943105547828217077365451992495943007231316787228260016680545159108163715704386587312211994829061495921761989452332307874881399148723503909082147084828672 binary64)) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) (if (<=.f64 x #s(literal 62000000000000003608671111741451648808741294628226320971634582435254185288163387442771905016716415524815337936032477673947136 binary64)) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))))) |
(if (or (<=.f64 x #s(literal -29999999999999998090761208133027753209277121982710220694518322170074468834158122646680160983760842733943105547828217077365451992495943007231316787228260016680545159108163715704386587312211994829061495921761989452332307874881399148723503909082147084828672 binary64)) (not (<=.f64 x #s(literal 62000000000000003608671111741451648808741294628226320971634582435254185288163387442771905016716415524815337936032477673947136 binary64)))) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 y y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 44 |
| 1 | 37 | 44 |
| 2 | 80 | 44 |
| 3 | 207 | 44 |
| 4 | 572 | 44 |
| 5 | 1611 | 44 |
| 6 | 2874 | 44 |
| 7 | 3185 | 44 |
| 8 | 3269 | 44 |
| 9 | 3360 | 44 |
| 10 | 3486 | 44 |
| 11 | 3687 | 44 |
| 12 | 4676 | 44 |
| 13 | 5346 | 44 |
| 14 | 5958 | 44 |
| 15 | 6564 | 44 |
| 0 | 8181 | 44 |
| 0 | 300 | 812 |
| 1 | 1027 | 735 |
| 2 | 4387 | 712 |
| 0 | 8647 | 688 |
| 0 | 290 | 738 |
| 1 | 1006 | 678 |
| 2 | 4259 | 657 |
| 0 | 8300 | 632 |
| 0 | 27 | 124 |
| 0 | 48 | 124 |
| 1 | 177 | 94 |
| 2 | 1367 | 92 |
| 0 | 9396 | 92 |
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 34 | 13 |
| 2 | 224 | 13 |
| 3 | 2138 | 13 |
| 0 | 9927 | 13 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 140 to 47 computations (66.4% saved)
Compiled 294 to 106 computations (63.9% saved)
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