
Time bar (total: 13.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 962.0ms | 8 256× | 0 | valid |
ival-cos: 324.0ms (60% of total)ival-div: 119.0ms (22% of total)ival-mult: 51.0ms (9.4% of total)ival-sinh: 37.0ms (6.8% of total)ival-true: 5.0ms (0.9% of total)ival-assert: 3.0ms (0.6% of total)| 1× | egg-herbie |
| 2 656× | lower-fma.f64 |
| 2 656× | lower-fma.f32 |
| 1 792× | lower-*.f32 |
| 1 790× | lower-*.f64 |
| 1 304× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 37 |
| 1 | 61 | 37 |
| 2 | 164 | 37 |
| 3 | 538 | 37 |
| 4 | 1783 | 37 |
| 5 | 4254 | 37 |
| 6 | 5749 | 37 |
| 7 | 7148 | 37 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 19 | 7 |
| 2 | 36 | 7 |
| 3 | 74 | 7 |
| 4 | 154 | 7 |
| 5 | 302 | 7 |
| 6 | 761 | 7 |
| 7 | 1800 | 7 |
| 8 | 3035 | 7 |
| 9 | 4031 | 7 |
| 10 | 4516 | 7 |
| 11 | 4594 | 7 |
| 12 | 4597 | 7 |
| 13 | 4599 | 7 |
| 14 | 5019 | 7 |
| 15 | 5239 | 7 |
| 16 | 5359 | 7 |
| 17 | 5493 | 7 |
| 18 | 5597 | 7 |
| 19 | 5637 | 7 |
| 20 | 5653 | 7 |
| 21 | 5661 | 7 |
| 22 | 5661 | 7 |
| 23 | 5779 | 7 |
| 24 | 6017 | 7 |
| 25 | 6053 | 7 |
| 26 | 6053 | 7 |
| 27 | 6053 | 7 |
| 0 | 6053 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(abs y)
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (sinh.f64 y) |
| 0 | 0 | - | 0 | - | (/.f64 (sinh.f64 y) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 36.0ms | 512× | 0 | valid |
Compiled 56 to 28 computations (50% saved)
ival-cos: 11.0ms (48% of total)ival-div: 6.0ms (26.2% of total)ival-mult: 3.0ms (13.1% of total)ival-sinh: 3.0ms (13.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sinh.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (sinh.f64 y) y) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 2 656× | lower-fma.f64 |
| 2 656× | lower-fma.f32 |
| 1 792× | lower-*.f32 |
| 1 790× | lower-*.f64 |
| 1 194× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 19 | 17 |
| 2 | 36 | 17 |
| 3 | 74 | 17 |
| 4 | 154 | 17 |
| 5 | 302 | 17 |
| 6 | 761 | 17 |
| 7 | 1800 | 17 |
| 8 | 3035 | 17 |
| 9 | 4031 | 17 |
| 10 | 4516 | 17 |
| 11 | 4594 | 17 |
| 12 | 4597 | 17 |
| 13 | 4599 | 17 |
| 14 | 5019 | 17 |
| 15 | 5239 | 17 |
| 16 | 5359 | 17 |
| 17 | 5493 | 17 |
| 18 | 5597 | 17 |
| 19 | 5637 | 17 |
| 20 | 5653 | 17 |
| 21 | 5661 | 17 |
| 22 | 5661 | 17 |
| 23 | 5779 | 17 |
| 24 | 6017 | 17 |
| 25 | 6053 | 17 |
| 26 | 6053 | 17 |
| 27 | 6053 | 17 |
| 0 | 6053 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(cos.f64 x) |
x |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
| Outputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(cos.f64 x) |
x |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (sinh.f64 y) |
| ✓ | accuracy | 100.0% | (/.f64 (sinh.f64 y) y) |
| ✓ | accuracy | 100.0% | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 19.0ms | 256× | 0 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-cos: 6.0ms (59.2% of total)ival-div: 2.0ms (19.7% of total)ival-mult: 1.0ms (9.9% of total)ival-sinh: 1.0ms (9.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))> |
#<alt (cos.f64 x)> |
#<alt (/.f64 (sinh.f64 y) y)> |
#<alt (sinh.f64 y)> |
| Outputs |
|---|
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))> |
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))> |
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (cos x)> |
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))> |
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))> |
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (* (cos x) (/ (sinh y) y)) |
| 3.0ms | y | @ | -inf | (* (cos x) (/ (sinh y) y)) |
| 1.0ms | x | @ | inf | (* (cos x) (/ (sinh y) y)) |
| 1.0ms | y | @ | 0 | (* (cos x) (/ (sinh y) y)) |
| 1.0ms | x | @ | 0 | (* (cos x) (/ (sinh y) y)) |
| 1× | batch-egg-rewrite |
| 5 128× | lower-*.f32 |
| 5 126× | lower-*.f64 |
| 4 518× | lower-/.f32 |
| 4 516× | lower-/.f64 |
| 1 718× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 10 | 15 |
| 1 | 26 | 15 |
| 2 | 121 | 15 |
| 3 | 870 | 15 |
| 0 | 8384 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(cos.f64 x) |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (cos.f64 x) y) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (neg.f64 (/.f64 (cos.f64 x) y)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) |
(+.f64 (*.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) y)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) y))) |
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 x) y))) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) |
(+.f64 (*.f64 (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (cos.f64 x) y))) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (cos.f64 x) y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y))) |
(fma.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 x) y)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) |
(fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) y) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) y))) |
(fma.f64 (/.f64 (cos.f64 x) y) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (/.f64 (cos.f64 x) y) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(fma.f64 (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (cos.f64 x) y)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (cos.f64 x) y)))) |
(fma.f64 (neg.f64 (/.f64 (cos.f64 x) y)) #s(literal 0 binary64) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) |
(fma.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))) |
(neg.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 y (sinh.f64 y)))) |
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 y) y) (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (cos.f64 x) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) (/.f64 #s(literal 2 binary64) y))))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sinh.f64 y)))) |
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (cos.f64 x) (sinh.f64 y)))) |
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (+.f64 y y)) |
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (/.f64 y (sinh.f64 y)))) |
(/.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (-.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) |
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (*.f64 (+.f64 y y) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 y (*.f64 #s(literal 4 binary64) (cosh.f64 y)))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (cos.f64 x) y)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) (/.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (/.f64 #s(literal -1 binary64) (sinh.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (/.f64 y (sinh.f64 y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (cos.f64 x) y))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 (cos.f64 x) (/.f64 y (*.f64 (sinh.f64 y) #s(literal -2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (/.f64 (/.f64 (cos.f64 x) y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(/.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (+.f64 y y)) |
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(/.f64 (*.f64 (cos.f64 x) (/.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) y)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (cos.f64 x) y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 #s(literal 4 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y))))) #s(literal 4 binary64)) |
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(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 #s(literal 4 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y))))) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)))) (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))))) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (exp.f64 (+.f64 y y))) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 #s(literal -2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -4 binary64) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal -1/2 binary64)) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 y y))) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) #s(literal 1/2 binary64)) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 y y))) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 1 binary64)) #s(literal 4 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) #s(literal 2 binary64)) (cosh.f64 y)) |
(pow.f64 (sinh.f64 y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1 binary64)) |
(*.f64 (sinh.f64 y) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (sinh.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sinh.f64 y)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 y) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) #s(literal 2 binary64))) |
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 2 binary64))) |
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))) |
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))) |
(*.f64 (cosh.f64 y) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(*.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64))))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))) |
(*.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 y)) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) |
(*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 y y) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 3 binary64)))) (-.f64 (+.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (+.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))) (fma.f64 (exp.f64 (+.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (+.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (+.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (+.f64 (exp.f64 (+.f64 y y)) (expm1.f64 (-.f64 (neg.f64 y) y)))) |
| 1× | egg-herbie |
| 14 270× | lower-fma.f64 |
| 14 270× | lower-fma.f32 |
| 5 594× | lower-*.f64 |
| 5 594× | lower-*.f32 |
| 2 458× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 686 |
| 1 | 241 | 679 |
| 2 | 746 | 635 |
| 3 | 2420 | 627 |
| 4 | 5288 | 623 |
| 5 | 7976 | 623 |
| 0 | 8400 | 593 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) |
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))) |
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y))))))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
| Outputs |
|---|
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) |
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))) |
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 x x) y)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(cos x) |
(cos.f64 x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
Compiled 13 116 to 2 053 computations (84.3% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 696 | 7 | 703 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 697 | 7 | 704 |
| Status | Accuracy | Program |
|---|---|---|
| 62.9% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) | |
| ▶ | 99.9% | (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) |
| ▶ | 88.1% | (*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| 92.7% | (*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) | |
| ▶ | 73.1% | (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| ▶ | 63.2% | (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
| ▶ | 52.6% | (cos.f64 x) |
Compiled 164 to 114 computations (30.5% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (sinh.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (sinh.f64 y) y) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (sinh.f64 y) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 x) y) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) |
| 4 590× | lower-fma.f32 |
| 4 584× | lower-fma.f64 |
| 2 866× | lower-*.f32 |
| 2 854× | lower-*.f64 |
| 1 264× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 102 |
| 0 | 34 | 100 |
| 1 | 77 | 100 |
| 2 | 177 | 100 |
| 3 | 445 | 100 |
| 4 | 827 | 100 |
| 5 | 1280 | 100 |
| 6 | 2061 | 100 |
| 7 | 3136 | 100 |
| 8 | 3918 | 100 |
| 9 | 4688 | 100 |
| 10 | 5062 | 100 |
| 11 | 5322 | 100 |
| 12 | 6209 | 100 |
| 13 | 7543 | 100 |
| 14 | 7806 | 100 |
| 0 | 8071 | 100 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) |
(/.f64 (cos.f64 x) y) |
(cos.f64 x) |
x |
y |
(sinh.f64 y) |
(cos.f64 x) |
x |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
#s(literal 1 binary64) |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(cos.f64 x) |
x |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(cos.f64 x) |
x |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 y #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) |
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (cos.f64 x) y) |
(cos.f64 x) |
x |
y |
(sinh.f64 y) |
(cos.f64 x) |
x |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
(/.f64 (sinh.f64 y) y) |
#s(literal 1 binary64) |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(cos.f64 x) |
x |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(cos.f64 x) |
x |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 y #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 y #s(literal 1/120 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.9% | (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.5% | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
| ✓ | accuracy | 100.0% | (sinh.f64 y) |
| ✓ | accuracy | 100.0% | (/.f64 (sinh.f64 y) y) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (sinh.f64 y) |
| ✓ | accuracy | 99.8% | (/.f64 (cos.f64 x) y) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) |
| 87.0ms | 256× | 0 | valid |
Compiled 104 to 23 computations (77.9% saved)
ival-cos: 45.0ms (63.3% of total)ival-mult: 12.0ms (16.9% of total)const: 6.0ms (8.4% of total)ival-div: 3.0ms (4.2% of total)ival-add: 3.0ms (4.2% of total)ival-sinh: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))> |
#<alt (/.f64 (cos.f64 x) y)> |
#<alt (cos.f64 x)> |
#<alt (sinh.f64 y)> |
#<alt (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))> |
#<alt (/.f64 (sinh.f64 y) y)> |
#<alt (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))> |
#<alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))> |
#<alt (*.f64 y y)> |
#<alt (*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 y #s(literal 1/120 binary64))> |
#<alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))> |
| Outputs |
|---|
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))> |
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))> |
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (cos x)> |
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))> |
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))> |
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (/ 1 y)> |
#<alt (+ (* -1/2 (/ (pow x 2) y)) (/ 1 y))> |
#<alt (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))> |
#<alt (/ (cos x) y)> |
#<alt (/ (cos x) y)> |
#<alt (/ (cos x) y)> |
#<alt (/ (cos x) y)> |
#<alt (/ (cos x) y)> |
#<alt (/ (cos x) y)> |
#<alt (/ (cos x) y)> |
#<alt (/ (cos x) y)> |
#<alt (/ (cos x) y)> |
#<alt (/ (cos x) y)> |
#<alt (/ (cos x) y)> |
#<alt (/ (cos x) y)> |
#<alt (/ (cos x) y)> |
#<alt (/ (cos x) y)> |
#<alt (/ (cos x) y)> |
#<alt (/ (cos x) y)> |
#<alt (/ (cos x) y)> |
#<alt (/ (cos x) y)> |
#<alt (/ (cos x) y)> |
#<alt (/ (cos x) y)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt y> |
#<alt (* y (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))> |
#<alt (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))> |
#<alt (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))))))> |
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (cos x)> |
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))> |
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))> |
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))> |
#<alt (* 1/6 (* (pow y 2) (cos x)))> |
#<alt (* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))> |
#<alt (* 1/6 (* (pow y 2) (cos x)))> |
#<alt (* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))> |
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (+ 1 (+ (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/24 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (+ 1 (+ (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/24 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (cos x)> |
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))> |
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))> |
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))> |
#<alt (* 1/120 (* (pow y 4) (cos x)))> |
#<alt (* (pow y 4) (+ (* 1/120 (cos x)) (* 1/6 (/ (cos x) (pow y 2)))))> |
#<alt (* (pow y 4) (+ (* 1/120 (cos x)) (+ (* 1/6 (/ (cos x) (pow y 2))) (/ (cos x) (pow y 4)))))> |
#<alt (* (pow y 4) (+ (* 1/120 (cos x)) (+ (* 1/6 (/ (cos x) (pow y 2))) (/ (cos x) (pow y 4)))))> |
#<alt (* 1/120 (* (pow y 4) (cos x)))> |
#<alt (* (pow y 4) (+ (* 1/120 (cos x)) (* 1/6 (/ (cos x) (pow y 2)))))> |
#<alt (* (pow y 4) (+ (* 1/120 (cos x)) (+ (* 1/6 (/ (cos x) (pow y 2))) (/ (cos x) (pow y 4)))))> |
#<alt (* (pow y 4) (+ (* 1/120 (cos x)) (+ (* 1/6 (/ (cos x) (pow y 2))) (/ (cos x) (pow y 4)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))> |
#<alt (* 1/120 (pow y 4))> |
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* 1/120 (pow y 4))> |
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow y 2)))> |
#<alt (+ 1/6 (* 1/120 (pow y 2)))> |
#<alt (+ 1/6 (* 1/120 (pow y 2)))> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (* (cos x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1)) |
| 2.0ms | y | @ | 0 | (* y 1/120) |
| 1.0ms | x | @ | inf | (* (cos x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1)) |
| 1.0ms | x | @ | inf | (* (cos x) (+ (* 1/6 (* y y)) 1)) |
| 1.0ms | y | @ | inf | (* (cos x) (+ (* 1/6 (* y y)) 1)) |
| 1× | batch-egg-rewrite |
| 9 662× | lower-fma.f32 |
| 9 656× | lower-fma.f64 |
| 5 580× | lower-*.f32 |
| 5 568× | lower-*.f64 |
| 3 226× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 77 |
| 0 | 34 | 75 |
| 1 | 126 | 75 |
| 2 | 837 | 75 |
| 3 | 7993 | 75 |
| 0 | 8001 | 75 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) |
(/.f64 (cos.f64 x) y) |
(cos.f64 x) |
(sinh.f64 y) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
(/.f64 (sinh.f64 y) y) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y #s(literal 1/120 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 y (cos.f64 x))) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (/.f64 y (cos.f64 x)))) |
(neg.f64 (*.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (sinh.f64 y))) |
(neg.f64 (*.f64 (cos.f64 x) (neg.f64 (/.f64 (sinh.f64 y) y)))) |
(neg.f64 (*.f64 (sinh.f64 y) (neg.f64 (/.f64 (cos.f64 x) y)))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) y)) |
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (/.f64 y (cos.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) y) (neg.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (cos.f64 x))) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (cos.f64 x) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y)))) |
(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 y (cos.f64 x)))) |
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (/.f64 y (sinh.f64 y)))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 y))) |
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (/.f64 y (cos.f64 x)))) |
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 y (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 (/.f64 y (cos.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))) |
(/.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 (/.f64 y (cos.f64 x)) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 (neg.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (cos.f64 x))))) |
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (cos.f64 x) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 y (cos.f64 x))))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 y (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (/.f64 y (cos.f64 x))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (/.f64 y (cos.f64 x)) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 (/.f64 y (cos.f64 x))) #s(literal -2 binary64))) |
(/.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 y) #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (cos.f64 x)) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (cos.f64 x))) (*.f64 #s(literal -2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal -2 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y)))) y) |
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 (cos.f64 x) y)) #s(literal -2 binary64)) |
(/.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) #s(literal -1 binary64)) y) |
(pow.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) |
(*.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) |
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(*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)) #s(literal 1/36 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)) #s(literal 1/36 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) |
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal -1/120 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/36 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/36 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 1/2985984000000 binary64)))) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/36 binary64)) (-.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)))) (*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/207360000 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (*.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)) #s(literal 1/36 binary64)) (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/720 binary64)) #s(literal 1/36 binary64)))) |
| 1× | egg-herbie |
| 12 092× | lower-fma.f64 |
| 12 092× | lower-fma.f32 |
| 4 508× | lower-*.f64 |
| 4 508× | lower-*.f32 |
| 3 226× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 2116 |
| 1 | 540 | 1986 |
| 2 | 1842 | 1903 |
| 3 | 5152 | 1879 |
| 4 | 7150 | 1877 |
| 0 | 8044 | 1727 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) |
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))) |
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y))))))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(/ 1 y) |
(+ (* -1/2 (/ (pow x 2) y)) (/ 1 y)) |
(+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y)) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y)) |
(/ (cos x) y) |
(/ (cos x) y) |
(/ (cos x) y) |
(/ (cos x) y) |
(/ (cos x) y) |
(/ (cos x) y) |
(/ (cos x) y) |
(/ (cos x) y) |
(/ (cos x) y) |
(/ (cos x) y) |
(/ (cos x) y) |
(/ (cos x) y) |
(/ (cos x) y) |
(/ (cos x) y) |
(/ (cos x) y) |
(/ (cos x) y) |
(/ (cos x) y) |
(/ (cos x) y) |
(/ (cos x) y) |
(/ (cos x) y) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))) |
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))))) |
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/24 (+ 1 (* 1/6 (pow y 2)))))))))) |
(* (cos x) (+ 1 (* 1/6 (pow y 2)))) |
(* (cos x) (+ 1 (* 1/6 (pow y 2)))) |
(* (cos x) (+ 1 (* 1/6 (pow y 2)))) |
(* (cos x) (+ 1 (* 1/6 (pow y 2)))) |
(* (cos x) (+ 1 (* 1/6 (pow y 2)))) |
(* (cos x) (+ 1 (* 1/6 (pow y 2)))) |
(* (cos x) (+ 1 (* 1/6 (pow y 2)))) |
(* (cos x) (+ 1 (* 1/6 (pow y 2)))) |
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(* 1/6 (* (pow y 2) (cos x))) |
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2)))) |
(* 1/6 (* (pow y 2) (cos x))) |
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2)))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/24 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/24 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(* 1/120 (* (pow y 4) (cos x))) |
(* (pow y 4) (+ (* 1/120 (cos x)) (* 1/6 (/ (cos x) (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 (cos x)) (+ (* 1/6 (/ (cos x) (pow y 2))) (/ (cos x) (pow y 4))))) |
(* (pow y 4) (+ (* 1/120 (cos x)) (+ (* 1/6 (/ (cos x) (pow y 2))) (/ (cos x) (pow y 4))))) |
(* 1/120 (* (pow y 4) (cos x))) |
(* (pow y 4) (+ (* 1/120 (cos x)) (* 1/6 (/ (cos x) (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 (cos x)) (+ (* 1/6 (/ (cos x) (pow y 2))) (/ (cos x) (pow y 4))))) |
(* (pow y 4) (+ (* 1/120 (cos x)) (+ (* 1/6 (/ (cos x) (pow y 2))) (/ (cos x) (pow y 4))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
| Outputs |
|---|
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))) y) |
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))) |
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal -1/4 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) |
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y))))))) |
(fma.f64 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) y) (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(cos x) |
(cos.f64 x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(fma.f64 (*.f64 y y) (*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (cos.f64 x)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
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(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(cos x) |
(cos.f64 x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* 1/120 (* (pow y 4) (cos x))) |
(*.f64 (cos.f64 x) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(* (pow y 4) (+ (* 1/120 (cos x)) (* 1/6 (/ (cos x) (pow y 2))))) |
(*.f64 (cos.f64 x) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) |
(* (pow y 4) (+ (* 1/120 (cos x)) (+ (* 1/6 (/ (cos x) (pow y 2))) (/ (cos x) (pow y 4))))) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (pow y 4) (+ (* 1/120 (cos x)) (+ (* 1/6 (/ (cos x) (pow y 2))) (/ (cos x) (pow y 4))))) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* 1/120 (* (pow y 4) (cos x))) |
(*.f64 (cos.f64 x) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(* (pow y 4) (+ (* 1/120 (cos x)) (* 1/6 (/ (cos x) (pow y 2))))) |
(*.f64 (cos.f64 x) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) |
(* (pow y 4) (+ (* 1/120 (cos x)) (+ (* 1/6 (/ (cos x) (pow y 2))) (/ (cos x) (pow y 4))))) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (pow y 4) (+ (* 1/120 (cos x)) (+ (* 1/6 (/ (cos x) (pow y 2))) (/ (cos x) (pow y 4))))) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/120 (pow y 4)) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/120 (pow y 4)) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* 1/120 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* 1/120 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
Compiled 22 921 to 1 975 computations (91.4% saved)
21 alts after pruning (17 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 980 | 16 | 996 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 982 | 21 | 1 003 |
| Status | Accuracy | Program |
|---|---|---|
| 54.3% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| 58.0% | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| ▶ | 38.9% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ▶ | 36.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| 42.8% | (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| 35.6% | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| 63.2% | (/.f64 (sinh.f64 y) y) | |
| ▶ | 48.8% | (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| 47.2% | (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| 55.4% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 46.9% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ✓ | 99.9% | (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) |
| 63.2% | (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)) | |
| ✓ | 88.1% | (*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ▶ | 92.7% | (*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
| ✓ | 73.1% | (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| 54.3% | (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 43.1% | (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| 59.4% | (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) | |
| ✓ | 52.6% | (cos.f64 x) |
| ▶ | 30.1% | #s(literal 1 binary64) |
Compiled 530 to 346 computations (34.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
| 23 528× | lower-fma.f32 |
| 23 510× | lower-fma.f64 |
| 8 148× | lower-+.f64 |
| 8 148× | lower-+.f32 |
| 4 910× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 244 |
| 0 | 54 | 244 |
| 1 | 132 | 244 |
| 2 | 347 | 244 |
| 3 | 1025 | 244 |
| 4 | 3721 | 244 |
| 5 | 4143 | 244 |
| 6 | 4444 | 244 |
| 7 | 4452 | 244 |
| 8 | 4452 | 244 |
| 0 | 9079 | 244 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(cos.f64 x) |
x |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
y |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 y y) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
| Outputs |
|---|
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(cos.f64 x) |
x |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
y |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 y y) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
| ✓ | accuracy | 99.5% | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.3% | (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
| 76.0ms | 256× | 0 | valid |
Compiled 246 to 38 computations (84.6% saved)
ival-mult: 24.0ms (44.3% of total)const: 14.0ms (25.9% of total)ival-add: 9.0ms (16.6% of total)ival-cos: 6.0ms (11.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))> |
#<alt (cos.f64 x)> |
#<alt (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))> |
#<alt (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))> |
#<alt (*.f64 x #s(literal 1/24 binary64))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))> |
#<alt (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))> |
#<alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))> |
#<alt (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))> |
#<alt (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))> |
#<alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))> |
| Outputs |
|---|
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))> |
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (+ 1 (+ (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* 1/24 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (+ 1 (+ (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* 1/24 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (cos x)> |
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))> |
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))> |
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))> |
#<alt (* 1/5040 (* (pow y 6) (cos x)))> |
#<alt (* (pow y 6) (+ (* 1/5040 (cos x)) (* 1/120 (/ (cos x) (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (* 1/6 (/ (cos x) (pow y 4))))))> |
#<alt (* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (+ (* 1/6 (/ (cos x) (pow y 4))) (/ (cos x) (pow y 6))))))> |
#<alt (* 1/5040 (* (pow y 6) (cos x)))> |
#<alt (* (pow y 6) (+ (* 1/5040 (cos x)) (* 1/120 (/ (cos x) (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (* 1/6 (/ (cos x) (pow y 4))))))> |
#<alt (* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (+ (* 1/6 (/ (cos x) (pow y 4))) (/ (cos x) (pow y 6))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))> |
#<alt (* 1/5040 (pow y 6))> |
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))> |
#<alt (* 1/5040 (pow y 6))> |
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))> |
#<alt (* 1/6 y)> |
#<alt (* y (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))> |
#<alt (* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))> |
#<alt (* 1/5040 (pow y 5))> |
#<alt (* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* 1/5040 (pow y 5))> |
#<alt (* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))> |
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt -1/2> |
#<alt (- (* 1/24 (pow x 2)) 1/2)> |
#<alt (- (* 1/24 (pow x 2)) 1/2)> |
#<alt (- (* 1/24 (pow x 2)) 1/2)> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (* -1/720 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))> |
#<alt (* -1/720 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))> |
#<alt -1/2> |
#<alt (- (* 1/24 (pow x 2)) 1/2)> |
#<alt (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)> |
#<alt (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)> |
#<alt (* -1/720 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))> |
#<alt (* -1/720 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))> |
#<alt (* 1/24 x)> |
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))> |
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))> |
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))> |
#<alt (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))> |
#<alt (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))))))> |
#<alt (* -1/720 (* (pow x 6) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* (pow x 6) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2)))))> |
#<alt (* (pow x 6) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))))> |
#<alt (* (pow x 6) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/6 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 6)))))))> |
#<alt (* -1/720 (* (pow x 6) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* (pow x 6) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2)))))> |
#<alt (* (pow x 6) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))))> |
#<alt (* (pow x 6) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/6 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 6)))))))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))> |
#<alt (+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))> |
#<alt (+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))> |
#<alt (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))> |
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))> |
#<alt (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))> |
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))> |
#<alt 1/120> |
#<alt (+ 1/120 (* 1/5040 (pow y 2)))> |
#<alt (+ 1/120 (* 1/5040 (pow y 2)))> |
#<alt (+ 1/120 (* 1/5040 (pow y 2)))> |
#<alt (* 1/5040 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* 1/5040 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 y)> |
#<alt (* y (+ 1/120 (* 1/5040 (pow y 2))))> |
#<alt (* y (+ 1/120 (* 1/5040 (pow y 2))))> |
#<alt (* y (+ 1/120 (* 1/5040 (pow y 2))))> |
#<alt (* 1/5040 (pow y 3))> |
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* 1/5040 (pow y 3))> |
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow y 2)))> |
#<alt (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))> |
#<alt (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))> |
#<alt (* 1/5040 (pow y 4))> |
#<alt (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* 1/5040 (pow y 4))> |
#<alt (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt 1/24> |
#<alt (+ 1/24 (* -1/720 (pow x 2)))> |
#<alt (+ 1/24 (* -1/720 (pow x 2)))> |
#<alt (+ 1/24 (* -1/720 (pow x 2)))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (* (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)) 1) (+ (* 1/6 (* y y)) 1)) |
| 1.0ms | x | @ | inf | (* (cos x) (+ (* y (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6))) 1)) |
| 1.0ms | x | @ | 0 | (* (cos x) (+ (* y (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6))) 1)) |
| 0.0ms | x | @ | inf | (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) |
| 0.0ms | y | @ | inf | (* (cos x) (+ (* y (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6))) 1)) |
| 1× | batch-egg-rewrite |
| 5 758× | lower-fma.f32 |
| 5 740× | lower-fma.f64 |
| 4 266× | lower-*.f32 |
| 4 250× | lower-*.f64 |
| 3 884× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 168 |
| 0 | 54 | 168 |
| 1 | 244 | 168 |
| 2 | 1924 | 168 |
| 0 | 8182 | 168 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(cos.f64 x) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
(+.f64 (*.f64 (cos.f64 x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (cos.f64 x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (cos.f64 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 (*.f64 (cos.f64 x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (cos.f64 x)))) |
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 (cos.f64 x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
(fma.f64 (cos.f64 x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (cos.f64 x)) |
(fma.f64 y (*.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (cos.f64 x)) (cos.f64 x)) |
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (cos.f64 x)) (cos.f64 x)) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y (cos.f64 x)) (cos.f64 x)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
(fma.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (cos.f64 x) (cos.f64 x)) |
(fma.f64 (*.f64 (cos.f64 x) y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (cos.f64 x)) |
(fma.f64 (*.f64 (cos.f64 x) (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (cos.f64 x)) |
(fma.f64 (*.f64 (cos.f64 x) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y (cos.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 (cos.f64 x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (cos.f64 x)))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (cos.f64 x)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (*.f64 (cos.f64 x) (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (cos.f64 x) (fma.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (cos.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (cos.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 (cos.f64 x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (cos.f64 x))))) |
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(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/216 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/216 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/216 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/216 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/216 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/216 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
| 1× | egg-herbie |
| 13 196× | lower-fma.f64 |
| 13 196× | lower-fma.f32 |
| 4 570× | lower-+.f64 |
| 4 570× | lower-+.f32 |
| 4 162× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 217 | 3065 |
| 1 | 715 | 2965 |
| 2 | 2349 | 2790 |
| 3 | 6981 | 2608 |
| 0 | 8150 | 2399 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* 1/24 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* 1/24 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(* 1/5040 (* (pow y 6) (cos x))) |
(* (pow y 6) (+ (* 1/5040 (cos x)) (* 1/120 (/ (cos x) (pow y 2))))) |
(* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (* 1/6 (/ (cos x) (pow y 4)))))) |
(* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (+ (* 1/6 (/ (cos x) (pow y 4))) (/ (cos x) (pow y 6)))))) |
(* 1/5040 (* (pow y 6) (cos x))) |
(* (pow y 6) (+ (* 1/5040 (cos x)) (* 1/120 (/ (cos x) (pow y 2))))) |
(* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (* 1/6 (/ (cos x) (pow y 4)))))) |
(* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (+ (* 1/6 (/ (cos x) (pow y 4))) (/ (cos x) (pow y 6)))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/5040 (pow y 6)) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 1/5040 (pow y 6)) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
-1/2 |
(- (* 1/24 (pow x 2)) 1/2) |
(- (* 1/24 (pow x 2)) 1/2) |
(- (* 1/24 (pow x 2)) 1/2) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* -1/720 (pow x 6)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* -1/720 (pow x 6)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4))))) |
-1/2 |
(- (* 1/24 (pow x 2)) 1/2) |
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2) |
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2) |
(* -1/720 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* -1/720 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* 1/24 x) |
(* x (+ 1/24 (* -1/720 (pow x 2)))) |
(* x (+ 1/24 (* -1/720 (pow x 2)))) |
(* x (+ 1/24 (* -1/720 (pow x 2)))) |
(* -1/720 (pow x 3)) |
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* -1/720 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))) |
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))))) |
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/24 (+ 1 (* 1/6 (pow y 2)))))))))) |
(* -1/720 (* (pow x 6) (+ 1 (* 1/6 (pow y 2))))) |
(* (pow x 6) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))) |
(* (pow x 6) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2)))))) |
(* (pow x 6) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/6 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 6))))))) |
(* -1/720 (* (pow x 6) (+ 1 (* 1/6 (pow y 2))))) |
(* (pow x 6) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))) |
(* (pow x 6) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2)))))) |
(* (pow x 6) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/6 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 6))))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2))))) |
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2))))) |
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2))))) |
(* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2))))) |
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2))))) |
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2))))) |
1/120 |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/120 y) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(* 1/5040 (pow y 3)) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/5040 (pow y 3)) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(* 1/5040 (pow y 4)) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/5040 (pow y 4)) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
1/24 |
(+ 1/24 (* -1/720 (pow x 2))) |
(+ 1/24 (* -1/720 (pow x 2))) |
(+ 1/24 (* -1/720 (pow x 2))) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
| Outputs |
|---|
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* 1/24 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* 1/24 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) |
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) |
(* 1/5040 (* (pow y 6) (cos x))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 #s(literal 1/5040 binary64) (cos.f64 x))) |
(* (pow y 6) (+ (* 1/5040 (cos x)) (* 1/120 (/ (cos x) (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (cos.f64 x) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
(* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (* 1/6 (/ (cos x) (pow y 4)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (cos.f64 x) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))) |
(* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (+ (* 1/6 (/ (cos x) (pow y 4))) (/ (cos x) (pow y 6)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (cos.f64 x) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 (cos.f64 x) (pow.f64 y #s(literal 6 binary64))))) |
(* 1/5040 (* (pow y 6) (cos x))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 #s(literal 1/5040 binary64) (cos.f64 x))) |
(* (pow y 6) (+ (* 1/5040 (cos x)) (* 1/120 (/ (cos x) (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (cos.f64 x) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
(* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (* 1/6 (/ (cos x) (pow y 4)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (cos.f64 x) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))) |
(* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (+ (* 1/6 (/ (cos x) (pow y 4))) (/ (cos x) (pow y 6)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (cos.f64 x) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 (cos.f64 x) (pow.f64 y #s(literal 6 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/5040 (pow y 6)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal 1 binary64)) |
(* 1/5040 (pow y 6)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal 1 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(* 1/5040 (pow y 5)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (pow.f64 y #s(literal 5 binary64))) |
(* 1/5040 (pow y 5)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y)))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
-1/2 |
#s(literal -1/2 binary64) |
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(- (* 1/24 (pow x 2)) 1/2) |
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(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
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(fma.f64 (*.f64 y y) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (fma.f64 x (/.f64 x (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2))))) |
(fma.f64 (*.f64 y y) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (fma.f64 x (/.f64 x (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/5040 (pow y 3)) |
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/5040 (pow y 3)) |
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(* 1/5040 (pow y 4)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(* 1/5040 (pow y 4)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* -1/720 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
(+ 1/24 (* -1/720 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
(+ 1/24 (* -1/720 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
Compiled 69 226 to 2 940 computations (95.8% saved)
28 alts after pruning (20 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 266 | 11 | 1 277 |
| Fresh | 3 | 9 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 270 | 28 | 1 298 |
| Status | Accuracy | Program |
|---|---|---|
| 54.3% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| 58.0% | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| 43.1% | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| ✓ | 38.9% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| 28.8% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| ✓ | 36.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ▶ | 35.7% | (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
| ▶ | 38.6% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
| 35.6% | (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| ▶ | 42.8% | (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ▶ | 63.2% | (/.f64 (sinh.f64 y) y) |
| 38.9% | (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) | |
| ▶ | 47.2% | (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| 23.8% | (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) | |
| 48.4% | (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| 55.4% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 46.9% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ✓ | 99.9% | (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) |
| 63.2% | (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)) | |
| ✓ | 88.1% | (*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | 92.7% | (*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
| ✓ | 73.1% | (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| 54.3% | (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 58.0% | (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) | |
| 59.4% | (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) | |
| 10.9% | (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| ✓ | 52.6% | (cos.f64 x) |
| ✓ | 30.1% | #s(literal 1 binary64) |
Compiled 727 to 457 computations (37.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sinh.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (sinh.f64 y) y) |
| 15 624× | lower-fma.f32 |
| 15 612× | lower-fma.f64 |
| 3 434× | lower-*.f32 |
| 3 416× | lower-*.f64 |
| 2 134× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 137 |
| 0 | 47 | 137 |
| 1 | 103 | 129 |
| 2 | 230 | 121 |
| 3 | 600 | 121 |
| 4 | 1785 | 121 |
| 5 | 4123 | 121 |
| 6 | 4576 | 121 |
| 7 | 4850 | 121 |
| 8 | 5270 | 121 |
| 9 | 6020 | 121 |
| 10 | 6724 | 121 |
| 11 | 7897 | 121 |
| 0 | 8103 | 119 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
y |
(*.f64 y #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
y |
(*.f64 y #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.5% | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 y #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (sinh.f64 y) |
| ✓ | accuracy | 100.0% | (/.f64 (sinh.f64 y) y) |
| 60.0ms | 256× | 0 | valid |
Compiled 139 to 32 computations (77% saved)
ival-mult: 20.0ms (51.6% of total)const: 9.0ms (23.2% of total)ival-add: 6.0ms (15.5% of total)ival-div: 2.0ms (5.2% of total)ival-sinh: 2.0ms (5.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (sinh.f64 y) y)> |
#<alt (sinh.f64 y)> |
#<alt (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 y #s(literal 1/6 binary64))> |
#<alt (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 (*.f64 x x) #s(literal 1/24 binary64))> |
#<alt (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))> |
#<alt (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))> |
#<alt (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))> |
#<alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))> |
#<alt (*.f64 y y)> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 (*.f64 x x) #s(literal -1/720 binary64))> |
#<alt (*.f64 x #s(literal 1/24 binary64))> |
#<alt (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt 1> |
#<alt (+ 1 (* 1/24 (pow x 4)))> |
#<alt (+ 1 (* 1/24 (pow x 4)))> |
#<alt (+ 1 (* 1/24 (pow x 4)))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (/ 1 (pow x 4))))> |
#<alt (* (pow x 4) (+ 1/24 (/ 1 (pow x 4))))> |
#<alt (* (pow x 4) (+ 1/24 (/ 1 (pow x 4))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (/ 1 (pow x 4))))> |
#<alt (* (pow x 4) (+ 1/24 (/ 1 (pow x 4))))> |
#<alt (* (pow x 4) (+ 1/24 (/ 1 (pow x 4))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (* -1/720 (pow x 6)))> |
#<alt (+ 1 (* -1/720 (pow x 6)))> |
#<alt (+ 1 (* -1/720 (pow x 6)))> |
#<alt (* -1/720 (pow x 6))> |
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) 1/720))> |
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) 1/720))> |
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) 1/720))> |
#<alt (* -1/720 (pow x 6))> |
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) 1/720))> |
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) 1/720))> |
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) 1/720))> |
#<alt (* -1/720 (pow x 4))> |
#<alt (* -1/720 (pow x 4))> |
#<alt (* -1/720 (pow x 4))> |
#<alt (* -1/720 (pow x 4))> |
#<alt (* -1/720 (pow x 4))> |
#<alt (* -1/720 (pow x 4))> |
#<alt (* -1/720 (pow x 4))> |
#<alt (* -1/720 (pow x 4))> |
#<alt (* -1/720 (pow x 4))> |
#<alt (* -1/720 (pow x 4))> |
#<alt (* -1/720 (pow x 4))> |
#<alt (* -1/720 (pow x 4))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))> |
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))> |
#<alt (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))> |
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))> |
#<alt (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))> |
#<alt (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))> |
#<alt (* 1/24 (* (pow x 4) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4))))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4))))))> |
#<alt (* 1/24 (* (pow x 4) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4))))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt -1/2> |
#<alt (- (* 1/24 (pow x 2)) 1/2)> |
#<alt (- (* 1/24 (pow x 2)) 1/2)> |
#<alt (- (* 1/24 (pow x 2)) 1/2)> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (* (+ (* (* y y) 1/6) 1) (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1)) |
| 1.0ms | x | @ | inf | (+ (* (* x x) (* x (* x (* (* x x) -1/720)))) 1) |
| 0.0ms | x | @ | inf | (+ (* (* x x) (* (* x x) 1/24)) 1) |
| 0.0ms | x | @ | 0 | (* x (* (* x x) -1/720)) |
| 0.0ms | y | @ | -inf | (* y 1/6) |
| 1× | batch-egg-rewrite |
| 10 000× | lower-fma.f32 |
| 9 988× | lower-fma.f64 |
| 4 796× | lower-*.f32 |
| 4 778× | lower-*.f64 |
| 3 490× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 115 |
| 0 | 47 | 115 |
| 1 | 181 | 102 |
| 2 | 1160 | 99 |
| 0 | 8212 | 97 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sinh.f64 y) y))) |
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) y)) |
(-.f64 (/.f64 (exp.f64 y) (*.f64 y #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 y)) (*.f64 y #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (neg.f64 (/.f64 (sinh.f64 y) y))) |
(neg.f64 (neg.f64 (/.f64 (sinh.f64 y) y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sinh.f64 y) y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (sinh.f64 y)))) |
(/.f64 (sinh.f64 y) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sinh.f64 y))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
| 1× | egg-herbie |
| 25 566× | lower-fma.f64 |
| 25 566× | lower-fma.f32 |
| 4 750× | lower-*.f64 |
| 4 750× | lower-*.f32 |
| 3 962× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 1812 |
| 1 | 316 | 1782 |
| 2 | 934 | 1584 |
| 3 | 3687 | 1584 |
| 4 | 7513 | 1584 |
| 0 | 8106 | 1460 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
1 |
(+ 1 (* 1/24 (pow x 4))) |
(+ 1 (* 1/24 (pow x 4))) |
(+ 1 (* 1/24 (pow x 4))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (/ 1 (pow x 4)))) |
(* (pow x 4) (+ 1/24 (/ 1 (pow x 4)))) |
(* (pow x 4) (+ 1/24 (/ 1 (pow x 4)))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (/ 1 (pow x 4)))) |
(* (pow x 4) (+ 1/24 (/ 1 (pow x 4)))) |
(* (pow x 4) (+ 1/24 (/ 1 (pow x 4)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
1 |
(+ 1 (* -1/720 (pow x 6))) |
(+ 1 (* -1/720 (pow x 6))) |
(+ 1 (* -1/720 (pow x 6))) |
(* -1/720 (pow x 6)) |
(* (pow x 6) (- (/ 1 (pow x 6)) 1/720)) |
(* (pow x 6) (- (/ 1 (pow x 6)) 1/720)) |
(* (pow x 6) (- (/ 1 (pow x 6)) 1/720)) |
(* -1/720 (pow x 6)) |
(* (pow x 6) (- (/ 1 (pow x 6)) 1/720)) |
(* (pow x 6) (- (/ 1 (pow x 6)) 1/720)) |
(* (pow x 6) (- (/ 1 (pow x 6)) 1/720)) |
(* -1/720 (pow x 4)) |
(* -1/720 (pow x 4)) |
(* -1/720 (pow x 4)) |
(* -1/720 (pow x 4)) |
(* -1/720 (pow x 4)) |
(* -1/720 (pow x 4)) |
(* -1/720 (pow x 4)) |
(* -1/720 (pow x 4)) |
(* -1/720 (pow x 4)) |
(* -1/720 (pow x 4)) |
(* -1/720 (pow x 4)) |
(* -1/720 (pow x 4)) |
(* -1/720 (pow x 3)) |
(* -1/720 (pow x 3)) |
(* -1/720 (pow x 3)) |
(* -1/720 (pow x 3)) |
(* -1/720 (pow x 3)) |
(* -1/720 (pow x 3)) |
(* -1/720 (pow x 3)) |
(* -1/720 (pow x 3)) |
(* -1/720 (pow x 3)) |
(* -1/720 (pow x 3)) |
(* -1/720 (pow x 3)) |
(* -1/720 (pow x 3)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2))))) |
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2))))) |
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2))))) |
(* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2))))) |
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2))))) |
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2))))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))) |
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))))) |
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))))) |
(* 1/24 (* (pow x 4) (+ 1 (* 1/6 (pow y 2))))) |
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/24 (+ 1 (* 1/6 (pow y 2)))))) |
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4)))))) |
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4)))))) |
(* 1/24 (* (pow x 4) (+ 1 (* 1/6 (pow y 2))))) |
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/24 (+ 1 (* 1/6 (pow y 2)))))) |
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4)))))) |
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4)))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
-1/2 |
(- (* 1/24 (pow x 2)) 1/2) |
(- (* 1/24 (pow x 2)) 1/2) |
(- (* 1/24 (pow x 2)) 1/2) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
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(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 y y) (+.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) |
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4)))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 y y) (+.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) |
(* 1/24 (* (pow x 4) (+ 1 (* 1/6 (pow y 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 1/144 binary64) #s(literal 1/24 binary64))) |
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/24 (+ 1 (* 1/6 (pow y 2)))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4)))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 y y) (+.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) |
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4)))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 y y) (+.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/24 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(- (* 1/24 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(- (* 1/24 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
Compiled 34 389 to 1 897 computations (94.5% saved)
28 alts after pruning (16 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 022 | 4 | 1 026 |
| Fresh | 3 | 12 | 15 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 8 | 8 |
| Total | 1 026 | 28 | 1 054 |
| Status | Accuracy | Program |
|---|---|---|
| 54.3% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| 58.0% | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| 54.3% | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| ✓ | 38.9% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| 28.8% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| ✓ | 36.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | 35.7% | (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
| ✓ | 38.6% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
| 35.6% | (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| ✓ | 42.8% | (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| 59.4% | (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) | |
| ✓ | 63.2% | (/.f64 (sinh.f64 y) y) |
| 38.9% | (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) | |
| 23.8% | (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) | |
| 48.4% | (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| 55.4% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 46.9% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ✓ | 99.9% | (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) |
| 63.2% | (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)) | |
| 16.8% | (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 1/144 binary64) #s(literal 1/24 binary64))) | |
| ✓ | 88.1% | (*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | 92.7% | (*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
| ✓ | 73.1% | (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| 58.0% | (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) | |
| 16.2% | (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) | |
| 10.9% | (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| ✓ | 52.6% | (cos.f64 x) |
| ✓ | 30.1% | #s(literal 1 binary64) |
Compiled 888 to 342 computations (61.5% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 1/144 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(cos.f64 x) |
(/.f64 (sinh.f64 y) y) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) |
| Outputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
5 calls:
| 42.0ms | (cos.f64 x) |
| 18.0ms | x |
| 13.0ms | y |
| 10.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 9.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 100.0% | 1 | (cos.f64 x) |
| 100.0% | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 1/144 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(cos.f64 x) |
(/.f64 (sinh.f64 y) y) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)) |
5 calls:
| 16.0ms | (cos.f64 x) |
| 14.0ms | y |
| 12.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 11.0ms | x |
| 9.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 2 | x |
| 98.9% | 3 | y |
| 99.8% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 97.2% | 2 | (cos.f64 x) |
| 92.7% | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 1/144 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(cos.f64 x) |
(/.f64 (sinh.f64 y) y) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)) |
1 calls:
| 9.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 1/144 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(cos.f64 x) |
(/.f64 (sinh.f64 y) y) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)) |
1 calls:
| 10.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 1/144 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(cos.f64 x) |
(/.f64 (sinh.f64 y) y) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)) |
2 calls:
| 11.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 3 | y |
| 98.8% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 1/144 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(cos.f64 x) |
(/.f64 (sinh.f64 y) y) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (sinh.f64 y) y) |
1 calls:
| 9.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 1/144 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(cos.f64 x) |
(/.f64 (sinh.f64 y) y) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(cos.f64 x) |
(/.f64 (sinh.f64 y) y) |
3 calls:
| 15.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 10.0ms | (cos.f64 x) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.4% | 2 | x |
| 79.1% | 3 | (cos.f64 x) |
| 98.7% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 1/144 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(cos.f64 x) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(cos.f64 x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
2 calls:
| 8.0ms | (/.f64 (sinh.f64 y) y) |
| 8.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.6% | 2 | (/.f64 (sinh.f64 y) y) |
| 94.9% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 1/144 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
5 calls:
| 62.0ms | (cos.f64 x) |
| 10.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 9.0ms | x |
| 9.0ms | y |
| 7.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.4% | 1 | x |
| 73.1% | 2 | (cos.f64 x) |
| 59.4% | 1 | (/.f64 (sinh.f64 y) y) |
| 62.9% | 2 | y |
| 73.1% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 1/144 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
2 calls:
| 31.0ms | (cos.f64 x) |
| 7.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.6% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 71.6% | 2 | (cos.f64 x) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 1/144 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
2 calls:
| 8.0ms | (cos.f64 x) |
| 5.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.1% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 70.1% | 2 | (cos.f64 x) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 1/144 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
2 calls:
| 11.0ms | (cos.f64 x) |
| 5.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.3% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 66.3% | 2 | (cos.f64 x) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 1/144 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
2 calls:
| 5.0ms | (cos.f64 x) |
| 5.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.3% | 2 | (cos.f64 x) |
| 66.3% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 1/144 binary64) #s(literal 1/24 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
2 calls:
| 5.0ms | (cos.f64 x) |
| 5.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.1% | 2 | (cos.f64 x) |
| 66.1% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
2 calls:
| 6.0ms | (cos.f64 x) |
| 4.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.1% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 63.1% | 2 | (cos.f64 x) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
5 calls:
| 5.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (cos.f64 x) |
| 3.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.3% | 2 | x |
| 43.1% | 1 | (/.f64 (sinh.f64 y) y) |
| 48.4% | 3 | y |
| 51.9% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 54.2% | 3 | (cos.f64 x) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
1 calls:
| 7.0ms | (cos.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.2% | 3 | (cos.f64 x) |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
2 calls:
| 3.0ms | (cos.f64 x) |
| 3.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.9% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 51.9% | 2 | (cos.f64 x) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
2 calls:
| 4.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 2.0ms | (cos.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.6% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 51.6% | 2 | (cos.f64 x) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
2 calls:
| 2.0ms | (cos.f64 x) |
| 2.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.0% | 3 | (cos.f64 x) |
| 51.9% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
| Outputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
4 calls:
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.1% | 2 | (/.f64 (sinh.f64 y) y) |
| 43.1% | 2 | y |
| 32.2% | 2 | x |
| 43.1% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 21 to 14 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
5 calls:
| 3.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | x |
| 1.0ms | (cos.f64 x) |
| 1.0ms | y |
| 1.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.1% | 1 | x |
| 30.1% | 1 | (cos.f64 x) |
| 30.1% | 1 | y |
| 30.1% | 1 | (/.f64 (sinh.f64 y) y) |
| 30.1% | 1 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 25 to 17 computations (32% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 1.0085784822337094 |
| 0.0ms | -inf | -0.9991492126988999 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 1.0085784822337094 |
| 0.0ms | -inf | -0.9991492126988999 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 1.0085784822337094 |
| 0.0ms | -inf | -0.9991492126988999 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 1.0085784822337094 |
| 0.0ms | -inf | -0.9991492126988999 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999744679 | 1.0 |
| 0.0ms | -inf | -0.9991492126988999 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999744679 | 1.0 |
| 0.0ms | -inf | -0.9991492126988999 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999744679 | 1.0 |
| 0.0ms | -inf | -0.9991492126988999 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.06650827725451876 | 0.0517396687069422 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.06650827725451876 | 0.0517396687069422 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.06650827725451876 | 0.0517396687069422 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.10405008682898133 | 0.0517396687069422 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.10405008682898133 | 0.0517396687069422 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.10405008682898133 | 0.0517396687069422 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.06650827725451876 | 0.0517396687069422 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.700613173532668 | 0.7031573744267875 |
| 0.0ms | -0.06650827725451876 | 0.0517396687069422 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.700613173532668 | 0.7031573744267875 |
| 0.0ms | -0.06650827725451876 | 0.0517396687069422 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -0.06650827725451876 | 0.0517396687069422 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.10405008682898133 | 0.0517396687069422 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0085784822337094 | +inf |
| 0.0ms | -0.10405008682898133 | 0.0517396687069422 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0085784822337094 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 42× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 779 |
| 1 | 123 | 779 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9007199254511019/9007199254740992 binary64)) (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9007199254511019/9007199254740992 binary64)) (cos.f64 x) (/.f64 (sinh.f64 y) y))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9007199254511019/9007199254740992 binary64)) (cos.f64 x) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y))) |
(if (<=.f64 (cos.f64 x) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(if (<=.f64 (cos.f64 x) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (cos.f64 x) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (cos.f64 x) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (cos.f64 x) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (if (<=.f64 (cos.f64 x) #s(literal 395190867301761/562949953421312 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 (cos.f64 x) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (if (<=.f64 (cos.f64 x) #s(literal 395190867301761/562949953421312 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 (cos.f64 x) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (/.f64 (sinh.f64 y) y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (/.f64 (sinh.f64 y) y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9007199254511019/9007199254740992 binary64)) (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9007199254511019/9007199254740992 binary64)) (cos.f64 x) (/.f64 (sinh.f64 y) y))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9007199254511019/9007199254740992 binary64)) (cos.f64 x) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y))) |
(if (<=.f64 (cos.f64 x) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(if (<=.f64 (cos.f64 x) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (cos.f64 x) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (cos.f64 x) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (cos.f64 x) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (if (<=.f64 (cos.f64 x) #s(literal 395190867301761/562949953421312 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 (cos.f64 x) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (if (<=.f64 (cos.f64 x) #s(literal 395190867301761/562949953421312 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 (cos.f64 x) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
| 25 566× | lower-fma.f64 |
| 25 566× | lower-fma.f32 |
| 14 270× | lower-fma.f64 |
| 14 270× | lower-fma.f32 |
| 13 196× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 77 |
| 0 | 34 | 75 |
| 1 | 126 | 75 |
| 2 | 837 | 75 |
| 3 | 7993 | 75 |
| 0 | 8001 | 75 |
| 0 | 84 | 686 |
| 1 | 241 | 679 |
| 2 | 746 | 635 |
| 3 | 2420 | 627 |
| 4 | 5288 | 623 |
| 5 | 7976 | 623 |
| 0 | 8400 | 593 |
| 0 | 217 | 3065 |
| 1 | 715 | 2965 |
| 2 | 2349 | 2790 |
| 3 | 6981 | 2608 |
| 0 | 8150 | 2399 |
| 0 | 104 | 1812 |
| 1 | 316 | 1782 |
| 2 | 934 | 1584 |
| 3 | 3687 | 1584 |
| 4 | 7513 | 1584 |
| 0 | 8106 | 1460 |
| 0 | 166 | 2116 |
| 1 | 540 | 1986 |
| 2 | 1842 | 1903 |
| 3 | 5152 | 1879 |
| 4 | 7150 | 1877 |
| 0 | 8044 | 1727 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 595 to 679 computations (57.4% saved)
(abs x)
(abs y)
Compiled 1 652 to 258 computations (84.4% saved)
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